Recover records and clarify attribution policy

app.py

@@ -1264,6 +1264,11 @@ def author_name(record: dict[str, Any]) -> str:
 
 
 def display_author(record: dict[str, Any]) -> str:
+    try:
+        if int(record.get("n") or 0) == 1:
+            return "Trivial"
+    except (TypeError, ValueError):
+        pass
     if record.get("record_type") == "reference":
         return reference_credit(record)
     author = author_name(record)
@@ -1888,9 +1893,9 @@ def leaderboard_html() -> str:
             <div>
               <h2>Leaderboard</h2>
               <p class="section-note">
-                Counts current public records by credited author. Nathan Roll is credited only when a verified
-                coordinate layout improves the displayed Friedman metric by more than 0.15%; recovered layouts
-                stay credited to the Friedman-listed finder.
+                Counts current public records by credited author. Credits follow the Friedman-listed finder for
+                recovered layouts; local Nathan Roll credit is reserved for non-image-seeded verified improvements
+                above 0.15%, and one-shape cases are credited as Trivial.
               </p>
             </div>
           </div>

data/evaluation_results.jsonl

@@ -262,6 +262,7 @@
 {"case": "hexintri@17", "container": {"circumradius": 6.721674200378152, "orientation_radians": 0.0, "side_length": 11.642281226979867, "sides": 3, "type": "regular_polygon"}, "density": 0.7525303158572544, "errors": [], "item": {"circumradius": 1.0000000000000002, "side_length": 1.0, "sides": 6, "type": "regular_polygon"}, "max_boundary_excess": -1.447216764354318e-05, "max_pair_overlap_depth": -1.3408176938511929e-05, "n": 17, "ok": true, "record_id": "8137d039fd339f48", "setup": "hexintri", "side": 11.642281226979867, "solution_hash": "8137d039fd339f48", "solution_path": "data/solutions/generated/hexintri_017_8137d039fd339f48.json", "tolerance": 1e-08, "warnings": []}
 {"case": "hexintri@18", "container": {"circumradius": 6.924618334899173, "orientation_radians": 0.0, "side_length": 11.993790779068366, "sides": 3, "type": "regular_polygon"}, "density": 0.7507767554452202, "errors": [], "item": {"circumradius": 1.0000000000000002, "side_length": 1.0, "sides": 6, "type": "regular_polygon"}, "max_boundary_excess": -6.734105056962567e-06, "max_pair_overlap_depth": -5.8920104462956147e-05, "n": 18, "ok": true, "record_id": "8f10cd5e01be9029", "setup": "hexintri", "side": 11.993790779068366, "solution_hash": "8f10cd5e01be9029", "solution_path": "data/solutions/generated/hexintri_018_8f10cd5e01be9029.json", "tolerance": 1e-08, "warnings": []}
 {"case": "hexintri@19", "container": {"circumradius": 6.950404010627927, "orientation_radians": 0.0, "side_length": 12.038452879538063, "sides": 3, "type": "regular_polygon"}, "density": 0.7866173060867477, "errors": [], "item": {"circumradius": 1.0000000000000002, "side_length": 1.0, "sides": 6, "type": "regular_polygon"}, "max_boundary_excess": -8.242681221171444e-06, "max_pair_overlap_depth": -3.13088544121598e-05, "n": 19, "ok": true, "record_id": "18178ad9efaf7172", "setup": "hexintri", "side": 12.038452879538063, "solution_hash": "18178ad9efaf7172", "solution_path": "data/solutions/generated/hexintri_019_18178ad9efaf7172.json", "tolerance": 1e-08, "warnings": []}
+{"case": "hexintri@19", "container": {"circumradius": 6.928429777468251, "orientation_radians": 0.0, "side_length": 12.000392391248141, "sides": 3, "type": "regular_polygon"}, "density": 0.791614895360766, "errors": [], "item": {"circumradius": 1.0000000000000002, "side_length": 1.0, "sides": 6, "type": "regular_polygon"}, "max_boundary_excess": -6.082421874827662e-06, "max_pair_overlap_depth": -1.8024499229385427e-05, "n": 19, "ok": true, "record_id": "f5757609f28a7743", "setup": "hexintri", "side": 12.000392391248141, "solution_hash": "f5757609f28a7743", "solution_path": "data/solutions/generated/hexintri_19_f5757609f28a7743.json", "tolerance": 1e-08, "warnings": []}
 {"case": "hexintri@20", "container": {"circumradius": 7.000138571289056, "orientation_radians": 0.0, "side_length": 12.124595665495255, "sides": 3, "type": "regular_polygon"}, "density": 0.8162942117377381, "errors": [], "item": {"circumradius": 1.0000000000000002, "side_length": 1.0, "sides": 6, "type": "regular_polygon"}, "max_boundary_excess": -6.116403950810266e-06, "max_pair_overlap_depth": -3.364591626842106e-05, "n": 20, "ok": true, "record_id": "f59179c5b6665dc4", "setup": "hexintri", "side": 12.124595665495255, "solution_hash": "f59179c5b6665dc4", "solution_path": "data/solutions/generated/hexintri_020_f59179c5b6665dc4.json", "tolerance": 1e-08, "warnings": []}
 {"case": "hexintri@21", "container": {"circumradius": 7.00016054016223, "orientation_radians": 0.0, "side_length": 12.124633716699778, "sides": 3, "type": "regular_polygon"}, "density": 0.8571035425372456, "errors": [], "item": {"circumradius": 1.0000000000000002, "side_length": 1.0, "sides": 6, "type": "regular_polygon"}, "max_boundary_excess": -3.7607980864287318e-06, "max_pair_overlap_depth": -2.977721456209892e-05, "n": 21, "ok": true, "record_id": "6cf726ac83ba7d7f", "setup": "hexintri", "side": 12.124633716699778, "solution_hash": "6cf726ac83ba7d7f", "solution_path": "data/solutions/generated/hexintri_021_6cf726ac83ba7d7f.json", "tolerance": 1e-08, "warnings": []}
 {"case": "octinoct@1", "container": {"circumradius": 1.306566832523851, "orientation_radians": 0.0, "side_length": 1.0000029601692215, "sides": 8, "type": "regular_polygon"}, "density": 0.9999940796878448, "errors": [], "item": {"circumradius": 1.3065629648763766, "side_length": 1.0, "sides": 8, "type": "regular_polygon"}, "max_boundary_excess": -2.1903479056983753e-06, "max_pair_overlap_depth": 0.0, "n": 1, "ok": true, "record_id": "13c63959e19cfeb5", "setup": "octinoct", "side": 1.0000029601692215, "solution_hash": "13c63959e19cfeb5", "solution_path": "data/solutions/generated/octinoct_001_13c63959e19cfeb5.json", "tolerance": 1e-08, "warnings": []}
@@ -397,7 +398,9 @@
 {"case": "squincir@31", "container": {"radius": 3.536916321287215, "type": "circle"}, "density": 0.7887915525098625, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -2.62119976746078e-06, "max_pair_overlap_depth": -1.7231292489316985e-05, "n": 31, "ok": true, "record_id": "fdf9170d30584f4f", "setup": "squincir", "side": 7.07383264257443, "solution_hash": "fdf9170d30584f4f", "solution_path": "data/solutions/generated/squincir_031_fdf9170d30584f4f.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squincir@32", "container": {"radius": 3.5871274839526355, "type": "circle"}, "density": 0.7916012707303632, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -7.2509087862826505e-06, "max_pair_overlap_depth": -6.52310694349012e-09, "n": 32, "ok": true, "record_id": "b8bda371acb2b492", "setup": "squincir", "side": 7.174254967905271, "solution_hash": "b8bda371acb2b492", "solution_path": "data/solutions/generated/squincir_032_b8bda371acb2b492.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squincir@33", "container": {"radius": 3.606341162045688, "type": "circle"}, "density": 0.8076634866746639, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -5.493268955270025e-06, "max_pair_overlap_depth": -1.6481229587750335e-06, "n": 33, "ok": true, "record_id": "e5a9fc9a4b7235a0", "setup": "squincir", "side": 7.212682324091376, "solution_hash": "e5a9fc9a4b7235a0", "solution_path": "data/solutions/generated/squincir_033_e5a9fc9a4b7235a0.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squincir@34", "container": {"radius": 3.6335692625466023, "type": "circle"}, "density": 0.8197136332658641, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -4.951833559641017e-06, "max_pair_overlap_depth": -2.1724087376329138e-05, "n": 34, "ok": true, "record_id": "8e846defa45411b2", "setup": "squincir", "side": 7.267138525093205, "solution_hash": "8e846defa45411b2", "solution_path": "data/solutions/generated/squincir_34_8e846defa45411b2.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squincir@34", "container": {"radius": 3.6341429314675135, "type": "circle"}, "density": 0.819454861319337, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -1.0151594769247652e-06, "max_pair_overlap_depth": -1.71712946250846e-07, "n": 34, "ok": true, "record_id": "9214fdf4034b8f9a", "setup": "squincir", "side": 7.268285862935027, "solution_hash": "9214fdf4034b8f9a", "solution_path": "data/solutions/generated/squincir_34_9214fdf4034b8f9a.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squincir@34", "container": {"radius": 3.6315230432891554, "type": "circle"}, "density": 0.8206376457817698, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -1.1187926634015355e-06, "max_pair_overlap_depth": -1.3727466190216475e-05, "n": 34, "ok": true, "record_id": "aa2ddbda942a0ffd", "setup": "squincir", "side": 7.263046086578311, "solution_hash": "aa2ddbda942a0ffd", "solution_path": "data/solutions/generated/squincir_34_aa2ddbda942a0ffd.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squincir@35", "container": {"radius": 3.640654908255323, "type": "circle"}, "density": 0.8405414638481816, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -4.121617296348745e-07, "max_pair_overlap_depth": -2.1344301219083928e-05, "n": 35, "ok": true, "record_id": "f2d91d98b4c2ee39", "setup": "squincir", "side": 7.281309816510646, "solution_hash": "f2d91d98b4c2ee39", "solution_path": "data/solutions/generated/squincir_035_f2d91d98b4c2ee39.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squindom@1", "container": {"height": 1.0000093204700702, "type": "rectangle", "width": 2.0000186409401404}, "density": 0.499990679660235, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.7525252651882113e-06, "max_pair_overlap_depth": 0.0, "n": 1, "ok": true, "record_id": "557f8de873a17a8e", "setup": "squindom", "side": 2.0000186409401404, "solution_hash": "557f8de873a17a8e", "solution_path": "data/solutions/generated/squindom_001_557f8de873a17a8e.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squindom@2", "container": {"height": 1.0000058501509195, "type": "rectangle", "width": 2.000011700301839}, "density": 0.9999882998008334, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.463373909884382e-07, "max_pair_overlap_depth": -9.41881114351023e-06, "n": 2, "ok": true, "record_id": "7684110dce2e5290", "setup": "squindom", "side": 2.000011700301839, "solution_hash": "7684110dce2e5290", "solution_path": "data/solutions/generated/squindom_002_7684110dce2e5290.json", "tolerance": 1e-08, "warnings": []}
@@ -439,6 +442,8 @@
 {"case": "squindom@38", "container": {"height": 4.807708740683875, "type": "rectangle", "width": 9.61541748136775}, "density": 0.8220103806251009, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -4.518216488058613e-06, "max_pair_overlap_depth": -2.290026661011524e-05, "n": 38, "ok": true, "record_id": "d4d1cf6ab169d8aa", "setup": "squindom", "side": 9.61541748136775, "solution_hash": "d4d1cf6ab169d8aa", "solution_path": "data/solutions/generated/squindom_038_d4d1cf6ab169d8aa.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squindom@39", "container": {"height": 4.839387130645936, "type": "rectangle", "width": 9.678774261291872}, "density": 0.8326335013079162, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -4.790990827618913e-06, "max_pair_overlap_depth": -1.236762303413741e-05, "n": 39, "ok": true, "record_id": "a606e4f52500fa01", "setup": "squindom", "side": 9.678774261291872, "solution_hash": "a606e4f52500fa01", "solution_path": "data/solutions/generated/squindom_039_a606e4f52500fa01.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squindom@40", "container": {"height": 4.895342657342564, "type": "rectangle", "width": 9.790685314685128}, "density": 0.8345719865483486, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -1.37233266706005e-06, "max_pair_overlap_depth": -3.9677918853286975e-06, "n": 40, "ok": true, "record_id": "bb2811be04efb5ee", "setup": "squindom", "side": 9.790685314685128, "solution_hash": "bb2811be04efb5ee", "solution_path": "data/solutions/generated/squindom_040_bb2811be04efb5ee.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squindom@41", "container": {"height": 5.000043288573118, "type": "rectangle", "width": 10.000086577146236}, "density": 0.8199858015324071, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -2.2531322496632813e-07, "max_pair_overlap_depth": -9.877316924367108e-07, "n": 41, "ok": true, "record_id": "5bbf9f2ba5ab11a2", "setup": "squindom", "side": 10.000086577146236, "solution_hash": "5bbf9f2ba5ab11a2", "solution_path": "data/solutions/generated/squindom_41_5bbf9f2ba5ab11a2.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squindom@41", "container": {"height": 4.928216572329007, "type": "rectangle", "width": 9.856433144658014}, "density": 0.8440618888942375, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -1.8525221028298233e-06, "max_pair_overlap_depth": -8.594557442787032e-06, "n": 41, "ok": true, "record_id": "9ed000ff11bd8b55", "setup": "squindom", "side": 9.856433144658014, "solution_hash": "9ed000ff11bd8b55", "solution_path": "data/solutions/generated/squindom_41_9ed000ff11bd8b55.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squindom@41", "container": {"height": 5.000061486490366, "type": "rectangle", "width": 10.000122972980732}, "density": 0.8199798328031639, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -8.465020711057036e-07, "max_pair_overlap_depth": -6.131910444850952e-06, "n": 41, "ok": true, "record_id": "cb1462995bd3b2c0", "setup": "squindom", "side": 10.000122972980732, "solution_hash": "cb1462995bd3b2c0", "solution_path": "data/solutions/generated/squindom_41_cb1462995bd3b2c0.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squindom@42", "container": {"height": 4.978534605225135, "type": "rectangle", "width": 9.95706921045027}, "density": 0.8472590848618945, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.54667148005916e-06, "max_pair_overlap_depth": -1.5216861767419765e-05, "n": 42, "ok": true, "record_id": "7faea8ae450b67a1", "setup": "squindom", "side": 9.95706921045027, "solution_hash": "7faea8ae450b67a1", "solution_path": "data/solutions/generated/squindom_042_7faea8ae450b67a1.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squindom@43", "container": {"height": 5.000325272095715, "type": "rectangle", "width": 10.00065054419143}, "density": 0.859888117316887, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -5.1461540806485566e-08, "max_pair_overlap_depth": -2.005039219099558e-06, "n": 43, "ok": true, "record_id": "7f9527ccddc9d648", "setup": "squindom", "side": 10.00065054419143, "solution_hash": "7f9527ccddc9d648", "solution_path": "data/solutions/generated/squindom_043_7f9527ccddc9d648.json", "tolerance": 1e-08, "warnings": []}
@@ -470,6 +475,8 @@
 {"case": "squinhex@19", "container": {"circumradius": 2.937959654566609, "orientation_radians": 0.0, "side_length": 2.9379596545666087, "sides": 6, "type": "regular_polygon"}, "density": 0.8472470384096148, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -6.965076151420116e-06, "max_pair_overlap_depth": -7.201359447650546e-06, "n": 19, "ok": true, "record_id": "ae3850bdb0ac1880", "setup": "squinhex", "side": 2.9379596545666087, "solution_hash": "ae3850bdb0ac1880", "solution_path": "data/solutions/generated/squinhex_019_ae3850bdb0ac1880.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@20", "container": {"circumradius": 3.1638559473298478, "orientation_radians": 0.0, "side_length": 3.1638559473298473, "sides": 6, "type": "regular_polygon"}, "density": 0.7690325218237841, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -2.697008230249216e-06, "max_pair_overlap_depth": -2.836652900617409e-05, "n": 20, "ok": true, "record_id": "79028917ac70723d", "setup": "squinhex", "side": 3.1638559473298473, "solution_hash": "79028917ac70723d", "solution_path": "data/solutions/generated/squinhex_020_79028917ac70723d.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@21", "container": {"circumradius": 3.2382802143530665, "orientation_radians": 0.0, "side_length": 3.238280214353066, "sides": 6, "type": "regular_polygon"}, "density": 0.7707944086673769, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.4830527974218215e-06, "max_pair_overlap_depth": -2.662964935497389e-05, "n": 21, "ok": true, "record_id": "1d2ec517035658cd", "setup": "squinhex", "side": 3.238280214353066, "solution_hash": "1d2ec517035658cd", "solution_path": "data/solutions/generated/squinhex_21_1d2ec517035658cd.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinhex@21", "container": {"circumradius": 3.2382660883592127, "orientation_radians": 0.0, "side_length": 3.2382660883592123, "sides": 6, "type": "regular_polygon"}, "density": 0.7708011334148378, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -5.301769191883493e-06, "max_pair_overlap_depth": -1.6683459818422897e-05, "n": 21, "ok": true, "record_id": "3fb669c73e695ac9", "setup": "squinhex", "side": 3.2382660883592123, "solution_hash": "3fb669c73e695ac9", "solution_path": "data/solutions/generated/squinhex_21_3fb669c73e695ac9.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinhex@21", "container": {"circumradius": 3.236592068068801, "orientation_radians": 0.0, "side_length": 3.2365920680688007, "sides": 6, "type": "regular_polygon"}, "density": 0.7715986824430026, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -2.8602915252841952e-06, "max_pair_overlap_depth": -2.8463485488683382e-05, "n": 21, "ok": true, "record_id": "c6682411cb8007fa", "setup": "squinhex", "side": 3.2365920680688007, "solution_hash": "c6682411cb8007fa", "solution_path": "data/solutions/generated/squinhex_21_c6682411cb8007fa.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@22", "container": {"circumradius": 3.3150640439651093, "orientation_radians": 0.0, "side_length": 3.315064043965109, "sides": 6, "type": "regular_polygon"}, "density": 0.770525380181529, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -2.169977234601665e-06, "max_pair_overlap_depth": -1.9814540655582746e-05, "n": 22, "ok": true, "record_id": "a1e7eaf12003fa2e", "setup": "squinhex", "side": 3.315064043965109, "solution_hash": "a1e7eaf12003fa2e", "solution_path": "data/solutions/generated/squinhex_022_a1e7eaf12003fa2e.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@23", "container": {"circumradius": 3.3669876411014865, "orientation_radians": 0.0, "side_length": 3.366987641101486, "sides": 6, "type": "regular_polygon"}, "density": 0.7808954728618008, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -4.240294795076849e-06, "max_pair_overlap_depth": -2.4390771091731267e-07, "n": 23, "ok": true, "record_id": "de78b89055181fd4", "setup": "squinhex", "side": 3.366987641101486, "solution_hash": "de78b89055181fd4", "solution_path": "data/solutions/generated/squinhex_023_de78b89055181fd4.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@24", "container": {"circumradius": 3.4186364158861364, "orientation_radians": 0.0, "side_length": 3.418636415886136, "sides": 6, "type": "regular_polygon"}, "density": 0.7904120022571139, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.0115328209217065e-06, "max_pair_overlap_depth": -2.5222031625055097e-05, "n": 24, "ok": true, "record_id": "73f1ceeaee97d32f", "setup": "squinhex", "side": 3.418636415886136, "solution_hash": "73f1ceeaee97d32f", "solution_path": "data/solutions/generated/squinhex_24_73f1ceeaee97d32f.json", "tolerance": 1e-08, "warnings": []}
@@ -484,7 +491,9 @@
 {"case": "squinhex@33", "container": {"circumradius": 3.892767355726244, "orientation_radians": 0.0, "side_length": 3.8927673557262437, "sides": 6, "type": "regular_polygon"}, "density": 0.8381951703957873, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.797125554432215e-06, "max_pair_overlap_depth": -8.18730119578337e-06, "n": 33, "ok": true, "record_id": "b14228e93eb45276", "setup": "squinhex", "side": 3.8927673557262437, "solution_hash": "b14228e93eb45276", "solution_path": "data/solutions/generated/squinhex_033_b14228e93eb45276.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@34", "container": {"circumradius": 3.926817228886418, "orientation_radians": 0.0, "side_length": 3.9268172288864176, "sides": 6, "type": "regular_polygon"}, "density": 0.8486832973249016, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -5.30656742709778e-06, "max_pair_overlap_depth": -1.5057714820798651e-05, "n": 34, "ok": true, "record_id": "fc2f6f3b6cabd5ed", "setup": "squinhex", "side": 3.9268172288864176, "solution_hash": "fc2f6f3b6cabd5ed", "solution_path": "data/solutions/generated/squinhex_034_fc2f6f3b6cabd5ed.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@35", "container": {"circumradius": 3.99755649437119, "orientation_radians": 0.0, "side_length": 3.9975564943711897, "sides": 6, "type": "regular_polygon"}, "density": 0.8429987640989463, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.597269939847931e-06, "max_pair_overlap_depth": -1.4652234902046146e-05, "n": 35, "ok": true, "record_id": "1ea058e93fb408a4", "setup": "squinhex", "side": 3.9975564943711897, "solution_hash": "1ea058e93fb408a4", "solution_path": "data/solutions/generated/squinhex_035_1ea058e93fb408a4.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinhex@36", "container": {"circumradius": 4.0298356750246205, "orientation_radians": 0.0, "side_length": 4.02983567502462, "sides": 6, "type": "regular_polygon"}, "density": 0.8532492984675044, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -2.1577223076817982e-06, "max_pair_overlap_depth": -9.723761702495892e-07, "n": 36, "ok": true, "record_id": "8da86e16a42a7ee1", "setup": "squinhex", "side": 4.02983567502462, "solution_hash": "8da86e16a42a7ee1", "solution_path": "data/solutions/generated/squinhex_36_8da86e16a42a7ee1.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@36", "container": {"circumradius": 4.0299624719925, "orientation_radians": 0.0, "side_length": 4.029962471992499, "sides": 6, "type": "regular_polygon"}, "density": 0.8531956067904081, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -5.100230231840266e-07, "max_pair_overlap_depth": -2.2076071326537772e-07, "n": 36, "ok": true, "record_id": "b7083884dfb200c3", "setup": "squinhex", "side": 4.029962471992499, "solution_hash": "b7083884dfb200c3", "solution_path": "data/solutions/record_hunt/squinhex_36_b7083884dfb200c3.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinhex@36", "container": {"circumradius": 4.020625349363003, "orientation_radians": 0.0, "side_length": 4.020625349363002, "sides": 6, "type": "regular_polygon"}, "density": 0.8571629708269735, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -9.204501591489719e-07, "max_pair_overlap_depth": -4.634554187088469e-07, "n": 36, "ok": true, "record_id": "cbc24f56627bdbaa", "setup": "squinhex", "side": 4.020625349363002, "solution_hash": "cbc24f56627bdbaa", "solution_path": "data/solutions/generated/squinhex_36_cbc24f56627bdbaa.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@37", "container": {"circumradius": 4.041527942684514, "orientation_radians": 0.0, "side_length": 4.041527942684513, "sides": 6, "type": "regular_polygon"}, "density": 0.8718839158050435, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -1.1637259667017477e-06, "max_pair_overlap_depth": -1.0162747484221413e-05, "n": 37, "ok": true, "record_id": "a455ecb05be301ad", "setup": "squinhex", "side": 4.041527942684513, "solution_hash": "a455ecb05be301ad", "solution_path": "data/solutions/generated/squinhex_037_a455ecb05be301ad.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@38", "container": {"circumradius": 4.1841425436642465, "orientation_radians": 0.0, "side_length": 4.184142543664246, "sides": 6, "type": "regular_polygon"}, "density": 0.8354467372021385, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -4.3358638004937594e-07, "max_pair_overlap_depth": -2.4459335521420655e-06, "n": 38, "ok": true, "record_id": "657f5bc54656101d", "setup": "squinhex", "side": 4.184142543664246, "solution_hash": "657f5bc54656101d", "solution_path": "data/solutions/record_hunt/squinhex_38_657f5bc54656101d.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinhex@39", "container": {"circumradius": 4.259104243334675, "orientation_radians": 0.0, "side_length": 4.259104243334674, "sides": 6, "type": "regular_polygon"}, "density": 0.8275155837189719, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.204496689819836e-06, "max_pair_overlap_depth": -1.602842749781619e-05, "n": 39, "ok": true, "record_id": "85e7e9eb3b3b7f5f", "setup": "squinhex", "side": 4.259104243334674, "solution_hash": "85e7e9eb3b3b7f5f", "solution_path": "data/solutions/generated/squinhex_039_85e7e9eb3b3b7f5f.json", "tolerance": 1e-08, "warnings": []}
@@ -545,13 +554,20 @@
 {"case": "squinpen@24", "container": {"circumradius": 3.496826643745898, "orientation_radians": 0.0, "side_length": 4.110766262034449, "sides": 5, "type": "regular_polygon"}, "density": 0.8254992867774645, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -8.187233974203672e-07, "max_pair_overlap_depth": -1.4055675707780324e-06, "n": 24, "ok": true, "record_id": "7b6bed1452ec8f75", "setup": "squinpen", "side": 4.110766262034449, "solution_hash": "7b6bed1452ec8f75", "solution_path": "data/solutions/generated/squinpen_024_7b6bed1452ec8f75.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@25", "container": {"circumradius": 3.549365855641956, "orientation_radians": 0.0, "side_length": 4.172529809873594, "sides": 5, "type": "regular_polygon"}, "density": 0.8346264431391957, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -4.8760801669609005e-06, "max_pair_overlap_depth": -9.22783607931743e-06, "n": 25, "ok": true, "record_id": "965f543dd3a1a5b2", "setup": "squinpen", "side": 4.172529809873594, "solution_hash": "965f543dd3a1a5b2", "solution_path": "data/solutions/generated/squinpen_025_965f543dd3a1a5b2.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@26", "container": {"circumradius": 3.593713074674243, "orientation_radians": 0.0, "side_length": 4.224663092528319, "sides": 5, "type": "regular_polygon"}, "density": 0.846720772454187, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -5.329734777233707e-07, "max_pair_overlap_depth": -5.080948892621784e-06, "n": 26, "ok": true, "record_id": "12ea954c92ca25d9", "setup": "squinpen", "side": 4.224663092528319, "solution_hash": "12ea954c92ca25d9", "solution_path": "data/solutions/generated/squinpen_026_12ea954c92ca25d9.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinpen@27", "container": {"circumradius": 3.7023988728522115, "orientation_radians": 0.0, "side_length": 4.35243091113361, "sides": 5, "type": "regular_polygon"}, "density": 0.8284208480685643, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -5.563644238076049e-06, "max_pair_overlap_depth": -1.2401213729695826e-05, "n": 27, "ok": true, "record_id": "0b33929541015a68", "setup": "squinpen", "side": 4.35243091113361, "solution_hash": "0b33929541015a68", "solution_path": "data/solutions/generated/squinpen_27_0b33929541015a68.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@27", "container": {"circumradius": 3.704305218022613, "orientation_radians": 0.0, "side_length": 4.354671954287492, "sides": 5, "type": "regular_polygon"}, "density": 0.8275684076653715, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -1.1174449550978842e-06, "max_pair_overlap_depth": -1.176344423625686e-05, "n": 27, "ok": true, "record_id": "fc7fa66fe1928440", "setup": "squinpen", "side": 4.354671954287492, "solution_hash": "fc7fa66fe1928440", "solution_path": "data/solutions/generated/squinpen_027_fc7fa66fe1928440.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@28", "container": {"circumradius": 3.7605138871167676, "orientation_radians": 0.0, "side_length": 4.420749207776556, "sides": 5, "type": "regular_polygon"}, "density": 0.8327551046015365, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.3068707244667255e-06, "max_pair_overlap_depth": -1.2232567722092469e-05, "n": 28, "ok": true, "record_id": "81b95a9d0915b9b0", "setup": "squinpen", "side": 4.420749207776556, "solution_hash": "81b95a9d0915b9b0", "solution_path": "data/solutions/generated/squinpen_028_81b95a9d0915b9b0.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@29", "container": {"circumradius": 3.827384161434449, "orientation_radians": 0.0, "side_length": 4.499359929897927, "sides": 5, "type": "regular_polygon"}, "density": 0.8326213695314967, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.900416840645271e-06, "max_pair_overlap_depth": -1.3857736228028994e-05, "n": 29, "ok": true, "record_id": "7cc5c6e51420a8c4", "setup": "squinpen", "side": 4.499359929897927, "solution_hash": "7cc5c6e51420a8c4", "solution_path": "data/solutions/generated/squinpen_029_7cc5c6e51420a8c4.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@30", "container": {"circumradius": 3.880248035328735, "orientation_radians": 0.0, "side_length": 4.5615051408061476, "sides": 5, "type": "regular_polygon"}, "density": 0.8380230132738162, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -4.226407328203014e-06, "max_pair_overlap_depth": -5.655700288098586e-07, "n": 30, "ok": true, "record_id": "45dff6d0a270c6c5", "setup": "squinpen", "side": 4.5615051408061476, "solution_hash": "45dff6d0a270c6c5", "solution_path": "data/solutions/generated/squinpen_30_45dff6d0a270c6c5.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinpen@30", "container": {"circumradius": 3.8756674770107145, "orientation_radians": 0.0, "side_length": 4.556120371552951, "sides": 5, "type": "regular_polygon"}, "density": 0.8400050623992149, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.665422902102479e-06, "max_pair_overlap_depth": -2.26166097641034e-05, "n": 30, "ok": true, "record_id": "6d45a6352a0ed4b0", "setup": "squinpen", "side": 4.556120371552951, "solution_hash": "6d45a6352a0ed4b0", "solution_path": "data/solutions/generated/squinpen_30_6d45a6352a0ed4b0.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinpen@30", "container": {"circumradius": 3.8758519509947877, "orientation_radians": 0.0, "side_length": 4.556337233727491, "sides": 5, "type": "regular_polygon"}, "density": 0.8399251030020208, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -2.6577244583856583e-06, "max_pair_overlap_depth": -1.8093080493608582e-05, "n": 30, "ok": true, "record_id": "abcbdd03f9f27f35", "setup": "squinpen", "side": 4.556337233727491, "solution_hash": "abcbdd03f9f27f35", "solution_path": "data/solutions/generated/squinpen_30_abcbdd03f9f27f35.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinpen@30", "container": {"circumradius": 3.8715936028609312, "orientation_radians": 0.0, "side_length": 4.551331245263075, "sides": 5, "type": "regular_polygon"}, "density": 0.841773778692945, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -9.300402051962128e-07, "max_pair_overlap_depth": -1.6239474948775978e-05, "n": 30, "ok": true, "record_id": "c7e14ee67108e002", "setup": "squinpen", "side": 4.551331245263075, "solution_hash": "c7e14ee67108e002", "solution_path": "data/solutions/generated/squinpen_30_c7e14ee67108e002.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@31", "container": {"circumradius": 3.9381000083820386, "orientation_radians": 0.0, "side_length": 4.629514213959654, "sides": 5, "type": "regular_polygon"}, "density": 0.8407016075258085, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -2.9662880539345523e-06, "max_pair_overlap_depth": -1.825266620247845e-05, "n": 31, "ok": true, "record_id": "8b17df7ad9586809", "setup": "squinpen", "side": 4.629514213959654, "solution_hash": "8b17df7ad9586809", "solution_path": "data/solutions/generated/squinpen_031_8b17df7ad9586809.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@32", "container": {"circumradius": 4.005064513156432, "orientation_radians": 0.0, "side_length": 4.708235710626569, "sides": 5, "type": "regular_polygon"}, "density": 0.839043760254319, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -6.910425347385825e-07, "max_pair_overlap_depth": -1.0586072088480947e-05, "n": 32, "ok": true, "record_id": "ded24abc59c82646", "setup": "squinpen", "side": 4.708235710626569, "solution_hash": "ded24abc59c82646", "solution_path": "data/solutions/generated/squinpen_032_ded24abc59c82646.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@33", "container": {"circumradius": 4.051766745121978, "orientation_radians": 0.0, "side_length": 4.763137477023549, "sides": 5, "type": "regular_polygon"}, "density": 0.8454321018371573, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -2.5906514265382727e-06, "max_pair_overlap_depth": -5.445984948337923e-06, "n": 33, "ok": true, "record_id": "a9622b0aeea26f74", "setup": "squinpen", "side": 4.763137477023549, "solution_hash": "a9622b0aeea26f74", "solution_path": "data/solutions/generated/squinpen_033_a9622b0aeea26f74.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinpen@33", "container": {"circumradius": 4.050370641067087, "orientation_radians": 0.0, "side_length": 4.761496258275288, "sides": 5, "type": "regular_polygon"}, "density": 0.8460150186653703, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -9.018172200219921e-07, "max_pair_overlap_depth": -7.073955850867009e-06, "n": 33, "ok": true, "record_id": "d93824a50e5c0a99", "setup": "squinpen", "side": 4.761496258275288, "solution_hash": "d93824a50e5c0a99", "solution_path": "data/solutions/generated/squinpen_33_d93824a50e5c0a99.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinpen@34", "container": {"circumradius": 4.107850546124187, "orientation_radians": 0.0, "side_length": 4.829067939266757, "sides": 5, "type": "regular_polygon"}, "density": 0.8474289841167177, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.4941000501213588e-06, "max_pair_overlap_depth": -2.3754649831841945e-05, "n": 34, "ok": true, "record_id": "7dafd61dbd636b00", "setup": "squinpen", "side": 4.829067939266757, "solution_hash": "7dafd61dbd636b00", "solution_path": "data/solutions/generated/squinpen_34_7dafd61dbd636b00.json", "tolerance": 1e-08, "warnings": []}
+{"case": "squinpen@34", "container": {"circumradius": 4.0983176143448405, "orientation_radians": 0.0, "side_length": 4.817861305844738, "sides": 5, "type": "regular_polygon"}, "density": 0.8513759101343428, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -3.6641444865908995e-06, "max_pair_overlap_depth": -7.393521151310978e-06, "n": 34, "ok": true, "record_id": "a3f4dd7d0b94e803", "setup": "squinpen", "side": 4.817861305844738, "solution_hash": "a3f4dd7d0b94e803", "solution_path": "data/solutions/generated/squinpen_34_a3f4dd7d0b94e803.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@34", "container": {"circumradius": 4.109424198336639, "orientation_radians": 0.0, "side_length": 4.830917878392191, "sides": 5, "type": "regular_polygon"}, "density": 0.8467800838831615, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -9.414710391441419e-07, "max_pair_overlap_depth": -6.11976491438071e-06, "n": 34, "ok": true, "record_id": "d7af1c3ed90603fd", "setup": "squinpen", "side": 4.830917878392191, "solution_hash": "d7af1c3ed90603fd", "solution_path": "data/solutions/generated/squinpen_034_d7af1c3ed90603fd.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@35", "container": {"circumradius": 4.142383397291435, "orientation_radians": 0.0, "side_length": 4.869663740538196, "sides": 5, "type": "regular_polygon"}, "density": 0.8578692979479161, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -8.74898699366526e-06, "max_pair_overlap_depth": -8.959642868955342e-06, "n": 35, "ok": true, "record_id": "d0212c88c498f951", "setup": "squinpen", "side": 4.869663740538196, "solution_hash": "d0212c88c498f951", "solution_path": "data/solutions/generated/squinpen_035_d0212c88c498f951.json", "tolerance": 1e-08, "warnings": []}
 {"case": "squinpen@36", "container": {"circumradius": 4.200125357495445, "orientation_radians": 0.0, "side_length": 4.937543485830948, "sides": 5, "type": "regular_polygon"}, "density": 0.8582852742974874, "errors": [], "item": {"circumradius": 0.7071067811865476, "side_length": 1.0, "sides": 4, "type": "regular_polygon"}, "max_boundary_excess": -8.258589189166597e-07, "max_pair_overlap_depth": -1.4614402910062552e-07, "n": 36, "ok": true, "record_id": "e43d96c031faf38c", "setup": "squinpen", "side": 4.937543485830948, "solution_hash": "e43d96c031faf38c", "solution_path": "data/solutions/record_hunt/squinpen_36_e43d96c031faf38c.json", "tolerance": 1e-08, "warnings": []}
@@ -669,6 +685,7 @@
 {"case": "triinhex@17", "container": {"circumradius": 1.8333812927758206, "orientation_radians": 0.0, "side_length": 1.8333812927758204, "sides": 6, "type": "regular_polygon"}, "density": 0.842931104392013, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.4990722513823532e-07, "max_pair_overlap_depth": -1.1854387088505725e-05, "n": 17, "ok": true, "record_id": "b8b9e4b4d61ec96c", "setup": "triinhex", "side": 1.8333812927758204, "solution_hash": "b8b9e4b4d61ec96c", "solution_path": "data/solutions/generated/triinhex_017_b8b9e4b4d61ec96c.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinhex@18", "container": {"circumradius": 1.8897873292238663, "orientation_radians": 0.0, "side_length": 1.889787329223866, "sides": 6, "type": "regular_polygon"}, "density": 0.8400311467465807, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -4.484924045151217e-06, "max_pair_overlap_depth": -8.796062168636709e-06, "n": 18, "ok": true, "record_id": "7671cfd644a7af24", "setup": "triinhex", "side": 1.889787329223866, "solution_hash": "7671cfd644a7af24", "solution_path": "data/solutions/generated/triinhex_018_7671cfd644a7af24.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinhex@19", "container": {"circumradius": 1.9552300191069654, "orientation_radians": 0.0, "side_length": 1.9552300191069651, "sides": 6, "type": "regular_polygon"}, "density": 0.8283361930438612, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.7079807782201595e-06, "max_pair_overlap_depth": -1.3478523960663846e-05, "n": 19, "ok": true, "record_id": "451018f1291a5791", "setup": "triinhex", "side": 1.9552300191069651, "solution_hash": "451018f1291a5791", "solution_path": "data/solutions/generated/triinhex_19_451018f1291a5791.json", "tolerance": 1e-08, "warnings": []}
+{"case": "triinhex@19", "container": {"circumradius": 1.954596799569544, "orientation_radians": 0.0, "side_length": 1.9545967995695437, "sides": 6, "type": "regular_polygon"}, "density": 0.828872982650555, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.527824635230551e-06, "max_pair_overlap_depth": -1.5640219825363566e-05, "n": 19, "ok": true, "record_id": "545ef4899aee40a3", "setup": "triinhex", "side": 1.9545967995695437, "solution_hash": "545ef4899aee40a3", "solution_path": "data/solutions/generated/triinhex_19_545ef4899aee40a3.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinhex@20", "container": {"circumradius": 1.9775009487133155, "orientation_radians": 0.0, "side_length": 1.9775009487133153, "sides": 6, "type": "regular_polygon"}, "density": 0.8524037354438128, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -3.7558573966506123e-06, "max_pair_overlap_depth": -5.2993150605473716e-06, "n": 20, "ok": true, "record_id": "388fc73ef451e99b", "setup": "triinhex", "side": 1.9775009487133153, "solution_hash": "388fc73ef451e99b", "solution_path": "data/solutions/generated/triinhex_020_388fc73ef451e99b.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinhex@21", "container": {"circumradius": 2.0000540227066215, "orientation_radians": 0.0, "side_length": 2.000054022706621, "sides": 6, "type": "regular_polygon"}, "density": 0.8749527320468723, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -8.545179480294009e-07, "max_pair_overlap_depth": -6.765642482919887e-06, "n": 21, "ok": true, "record_id": "96f74df50573bb81", "setup": "triinhex", "side": 2.000054022706621, "solution_hash": "96f74df50573bb81", "solution_path": "data/solutions/generated/triinhex_021_96f74df50573bb81.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinhex@22", "container": {"circumradius": 2.0000562934901334, "orientation_radians": 0.0, "side_length": 2.000056293490133, "sides": 6, "type": "regular_polygon"}, "density": 0.9166150664792877, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -4.91184500961419e-07, "max_pair_overlap_depth": -9.942352799940934e-07, "n": 22, "ok": true, "record_id": "38182a59461da74e", "setup": "triinhex", "side": 2.000056293490133, "solution_hash": "38182a59461da74e", "solution_path": "data/solutions/generated/triinhex_022_38182a59461da74e.json", "tolerance": 1e-08, "warnings": []}
@@ -738,6 +755,10 @@
 {"case": "triinpen@16", "container": {"circumradius": 1.8517557126631121, "orientation_radians": 0.0, "side_length": 2.1768693975034314, "sides": 5, "type": "regular_polygon"}, "density": 0.8497807683719915, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.337598971955443e-06, "max_pair_overlap_depth": -3.396060024770525e-05, "n": 16, "ok": true, "record_id": "852225bc33edeebe", "setup": "triinpen", "side": 2.1768693975034314, "solution_hash": "852225bc33edeebe", "solution_path": "data/solutions/generated/triinpen_016_852225bc33edeebe.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@17", "container": {"circumradius": 1.9032661939510882, "orientation_radians": 0.0, "side_length": 2.237423599982551, "sides": 5, "type": "regular_polygon"}, "density": 0.8546812093159708, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -9.39992551681681e-07, "max_pair_overlap_depth": -1.7412872881594765e-05, "n": 17, "ok": true, "record_id": "a8618eee7fdaba2a", "setup": "triinpen", "side": 2.237423599982551, "solution_hash": "a8618eee7fdaba2a", "solution_path": "data/solutions/generated/triinpen_017_a8618eee7fdaba2a.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@18", "container": {"circumradius": 1.9529861697880846, "orientation_radians": 0.0, "side_length": 2.2958729370652002, "sides": 5, "type": "regular_polygon"}, "density": 0.8594655455888001, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.4774387061990001e-05, "max_pair_overlap_depth": -2.9541451285197695e-08, "n": 18, "ok": true, "record_id": "6bf4f9b0915d39ee", "setup": "triinpen", "side": 2.2958729370652002, "solution_hash": "6bf4f9b0915d39ee", "solution_path": "data/solutions/generated/triinpen_018_6bf4f9b0915d39ee.json", "tolerance": 1e-08, "warnings": []}
+{"case": "triinpen@19", "container": {"circumradius": 1.994849109033647, "orientation_radians": 0.0, "side_length": 2.345085773677515, "sides": 5, "type": "regular_polygon"}, "density": 0.8695364674141102, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -4.742170658284962e-06, "max_pair_overlap_depth": -3.982018692783029e-06, "n": 19, "ok": true, "record_id": "16349db1062e3f6e", "setup": "triinpen", "side": 2.345085773677515, "solution_hash": "16349db1062e3f6e", "solution_path": "data/solutions/generated/triinpen_19_16349db1062e3f6e.json", "tolerance": 1e-08, "warnings": []}
+{"case": "triinpen@19", "container": {"circumradius": 1.996348109987661, "orientation_radians": 0.0, "side_length": 2.3468479549853987, "sides": 5, "type": "regular_polygon"}, "density": 0.8682311373154191, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.7569722225895958e-06, "max_pair_overlap_depth": -1.2055081872186513e-06, "n": 19, "ok": true, "record_id": "7110ea9122a5788e", "setup": "triinpen", "side": 2.3468479549853987, "solution_hash": "7110ea9122a5788e", "solution_path": "data/solutions/generated/triinpen_19_7110ea9122a5788e.json", "tolerance": 1e-08, "warnings": []}
+{"case": "triinpen@19", "container": {"circumradius": 1.9960191497081092, "orientation_radians": 0.0, "side_length": 2.3464612389835775, "sides": 5, "type": "regular_polygon"}, "density": 0.8685173440819363, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.6095450684584371e-06, "max_pair_overlap_depth": -1.2689748558725178e-05, "n": 19, "ok": true, "record_id": "875caebde6570989", "setup": "triinpen", "side": 2.3464612389835775, "solution_hash": "875caebde6570989", "solution_path": "data/solutions/generated/triinpen_19_875caebde6570989.json", "tolerance": 1e-08, "warnings": []}
+{"case": "triinpen@19", "container": {"circumradius": 1.9948244487823792, "orientation_radians": 0.0, "side_length": 2.345056783813489, "sides": 5, "type": "regular_polygon"}, "density": 0.8695579661683754, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.7918571290641098e-06, "max_pair_overlap_depth": -4.335928559529023e-07, "n": 19, "ok": true, "record_id": "e25d367759fc397e", "setup": "triinpen", "side": 2.345056783813489, "solution_hash": "e25d367759fc397e", "solution_path": "data/solutions/generated/triinpen_19_e25d367759fc397e.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@19", "container": {"circumradius": 1.9965891518615606, "orientation_radians": 0.0, "side_length": 2.3471313167027246, "sides": 5, "type": "regular_polygon"}, "density": 0.868021512388566, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.9139572150349214e-06, "max_pair_overlap_depth": -1.0705368373109536e-05, "n": 19, "ok": true, "record_id": "eaa1430599d74148", "setup": "triinpen", "side": 2.3471313167027246, "solution_hash": "eaa1430599d74148", "solution_path": "data/solutions/generated/triinpen_19_eaa1430599d74148.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@20", "container": {"circumradius": 2.071631162064863, "orientation_radians": 0.0, "side_length": 2.4353484905024896, "sides": 5, "type": "regular_polygon"}, "density": 0.8487102106795418, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -7.176183787084704e-07, "max_pair_overlap_depth": -8.807499014995557e-06, "n": 20, "ok": true, "record_id": "760faebc4d0b131b", "setup": "triinpen", "side": 2.4353484905024896, "solution_hash": "760faebc4d0b131b", "solution_path": "data/solutions/generated/triinpen_020_760faebc4d0b131b.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@21", "container": {"circumradius": 2.1100378608614, "orientation_radians": 0.0, "side_length": 2.4804982727861766, "sides": 5, "type": "regular_polygon"}, "density": 0.8589998748063701, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.811024693767028e-06, "max_pair_overlap_depth": -2.8209410938284663e-06, "n": 21, "ok": true, "record_id": "115c20fad199fe9d", "setup": "triinpen", "side": 2.4804982727861766, "solution_hash": "115c20fad199fe9d", "solution_path": "data/solutions/generated/triinpen_021_115c20fad199fe9d.json", "tolerance": 1e-08, "warnings": []}
@@ -749,10 +770,12 @@
 {"case": "triinpen@27", "container": {"circumradius": 2.3979625778034013, "orientation_radians": 0.0, "side_length": 2.818974077564163, "sides": 5, "type": "regular_polygon"}, "density": 0.8551322064876743, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -5.642891580892597e-06, "max_pair_overlap_depth": -2.2253597504739986e-06, "n": 27, "ok": true, "record_id": "d6f1d3073209f163", "setup": "triinpen", "side": 2.818974077564163, "solution_hash": "d6f1d3073209f163", "solution_path": "data/solutions/generated/triinpen_027_d6f1d3073209f163.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@28", "container": {"circumradius": 2.4410022778609815, "orientation_radians": 0.0, "side_length": 2.869570279478037, "sides": 5, "type": "regular_polygon"}, "density": 0.8558072548880046, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -4.305293369328324e-06, "max_pair_overlap_depth": -1.9072024115107666e-05, "n": 28, "ok": true, "record_id": "2caa877f5aa08139", "setup": "triinpen", "side": 2.869570279478037, "solution_hash": "2caa877f5aa08139", "solution_path": "data/solutions/generated/triinpen_028_2caa877f5aa08139.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@29", "container": {"circumradius": 2.4720371232399, "orientation_radians": 0.0, "side_length": 2.906053928319848, "sides": 5, "type": "regular_polygon"}, "density": 0.8642558401713053, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.800701997238751e-06, "max_pair_overlap_depth": -5.0014115865471e-06, "n": 29, "ok": true, "record_id": "9730db96941e5b52", "setup": "triinpen", "side": 2.906053928319848, "solution_hash": "9730db96941e5b52", "solution_path": "data/solutions/generated/triinpen_29_9730db96941e5b52.json", "tolerance": 1e-08, "warnings": []}
+{"case": "triinpen@29", "container": {"circumradius": 2.471129197065864, "orientation_radians": 0.0, "side_length": 2.904986597089311, "sides": 5, "type": "regular_polygon"}, "density": 0.8648910353285495, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.1757076758929644e-06, "max_pair_overlap_depth": -9.047152447871909e-06, "n": 29, "ok": true, "record_id": "9da834ae740d1c15", "setup": "triinpen", "side": 2.904986597089311, "solution_hash": "9da834ae740d1c15", "solution_path": "data/solutions/generated/triinpen_29_9da834ae740d1c15.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@30", "container": {"circumradius": 2.5114225358647224, "orientation_radians": 0.0, "side_length": 2.9523542577124973, "sides": 5, "type": "regular_polygon"}, "density": 0.8662355090431414, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.990812967166742e-06, "max_pair_overlap_depth": -2.800943013125945e-05, "n": 30, "ok": true, "record_id": "29e4e0e684891d8a", "setup": "triinpen", "side": 2.9523542577124973, "solution_hash": "29e4e0e684891d8a", "solution_path": "data/solutions/generated/triinpen_30_29e4e0e684891d8a.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@31", "container": {"circumradius": 2.545376289474546, "orientation_radians": 0.0, "side_length": 2.9922692889761504, "sides": 5, "type": "regular_polygon"}, "density": 0.8713888671331285, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.7795814276238894e-06, "max_pair_overlap_depth": -1.3596177029562284e-05, "n": 31, "ok": true, "record_id": "44a0bb3f581e92e2", "setup": "triinpen", "side": 2.9922692889761504, "solution_hash": "44a0bb3f581e92e2", "solution_path": "data/solutions/generated/triinpen_031_44a0bb3f581e92e2.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@32", "container": {"circumradius": 2.5761743553336647, "orientation_radians": 0.0, "side_length": 3.028474586798395, "sides": 5, "type": "regular_polygon"}, "density": 0.8781198099192385, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -3.877563686504985e-07, "max_pair_overlap_depth": -2.5172545809359903e-05, "n": 32, "ok": true, "record_id": "310badf403ba4fce", "setup": "triinpen", "side": 3.028474586798395, "solution_hash": "310badf403ba4fce", "solution_path": "data/solutions/generated/triinpen_032_310badf403ba4fce.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@33", "container": {"circumradius": 2.618180839892074, "orientation_radians": 0.0, "side_length": 3.0778561710465637, "sides": 5, "type": "regular_polygon"}, "density": 0.8767362450469284, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.9579559668821387e-06, "max_pair_overlap_depth": -6.152141676318834e-06, "n": 33, "ok": true, "record_id": "2cf1b1f38810795d", "setup": "triinpen", "side": 3.0778561710465637, "solution_hash": "2cf1b1f38810795d", "solution_path": "data/solutions/generated/triinpen_033_2cf1b1f38810795d.json", "tolerance": 1e-08, "warnings": []}
+{"case": "triinpen@34", "container": {"circumradius": 2.6513814239288034, "orientation_radians": 0.0, "side_length": 3.1168857983751366, "sides": 5, "type": "regular_polygon"}, "density": 0.8808233124500154, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.228515372563353e-06, "max_pair_overlap_depth": -9.40092923262803e-06, "n": 34, "ok": true, "record_id": "6034a27a1d11d106", "setup": "triinpen", "side": 3.1168857983751366, "solution_hash": "6034a27a1d11d106", "solution_path": "data/solutions/generated/triinpen_34_6034a27a1d11d106.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@34", "container": {"circumradius": 2.6518580305411943, "orientation_radians": 0.0, "side_length": 3.117446083050954, "sides": 5, "type": "regular_polygon"}, "density": 0.8805067280135348, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -3.4825467113644516e-07, "max_pair_overlap_depth": -8.773672566686486e-06, "n": 34, "ok": true, "record_id": "faff9872314d8b1a", "setup": "triinpen", "side": 3.117446083050954, "solution_hash": "faff9872314d8b1a", "solution_path": "data/solutions/generated/triinpen_34_faff9872314d8b1a.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@35", "container": {"circumradius": 2.679818011764017, "orientation_radians": 0.0, "side_length": 3.150315012285253, "sides": 5, "type": "regular_polygon"}, "density": 0.8875886550862264, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.4152162741179605e-06, "max_pair_overlap_depth": -9.46789992128938e-06, "n": 35, "ok": true, "record_id": "8fe5da1df972c0b3", "setup": "triinpen", "side": 3.150315012285253, "solution_hash": "8fe5da1df972c0b3", "solution_path": "data/solutions/generated/triinpen_035_8fe5da1df972c0b3.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinpen@36", "container": {"circumradius": 2.7011924062745516, "orientation_radians": 0.0, "side_length": 3.1754421200252, "sides": 5, "type": "regular_polygon"}, "density": 0.8985572699958073, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.498547309348074e-07, "max_pair_overlap_depth": -2.3029919912209706e-06, "n": 36, "ok": true, "record_id": "5183a03ffc16bcf9", "setup": "triinpen", "side": 3.1754421200252, "solution_hash": "5183a03ffc16bcf9", "solution_path": "data/solutions/record_hunt/triinpen_36_5183a03ffc16bcf9.json", "tolerance": 1e-08, "warnings": []}
@@ -791,6 +814,7 @@
 {"case": "triinsqu@29", "container": {"circumradius": 2.6999496752049743, "orientation_radians": 0.0, "side_length": 3.818305448399707, "sides": 4, "type": "regular_polygon"}, "density": 0.8613056568479127, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -4.731563201531232e-06, "max_pair_overlap_depth": -2.352291984759891e-06, "n": 29, "ok": true, "record_id": "a02ae61c838755d7", "setup": "triinsqu", "side": 3.818305448399707, "solution_hash": "a02ae61c838755d7", "solution_path": "data/solutions/generated/triinsqu_029_a02ae61c838755d7.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinsqu@30", "container": {"circumradius": 2.7340349487368965, "orientation_radians": 0.0, "side_length": 3.8665093045057484, "sides": 4, "type": "regular_polygon"}, "density": 0.868927959047152, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -4.0741990212131443e-07, "max_pair_overlap_depth": -7.811820435188466e-06, "n": 30, "ok": true, "record_id": "d3cf7ea5ce255135", "setup": "triinsqu", "side": 3.8665093045057484, "solution_hash": "d3cf7ea5ce255135", "solution_path": "data/solutions/generated/triinsqu_030_d3cf7ea5ce255135.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinsqu@31", "container": {"circumradius": 2.7818510050522853, "orientation_radians": 0.0, "side_length": 3.934131419846167, "sides": 4, "type": "regular_polygon"}, "density": 0.8672905272682435, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.1286553127417914e-06, "max_pair_overlap_depth": -1.3206709677193729e-05, "n": 31, "ok": true, "record_id": "90f4b9b8010910a7", "setup": "triinsqu", "side": 3.934131419846167, "solution_hash": "90f4b9b8010910a7", "solution_path": "data/solutions/generated/triinsqu_031_90f4b9b8010910a7.json", "tolerance": 1e-08, "warnings": []}
+{"case": "triinsqu@32", "container": {"circumradius": 2.813776279002818, "orientation_radians": 0.0, "side_length": 3.979280575249487, "sides": 4, "type": "regular_polygon"}, "density": 0.8750673712051059, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.927630533637451e-06, "max_pair_overlap_depth": -1.4532438436631878e-05, "n": 32, "ok": true, "record_id": "300596cf09652b9a", "setup": "triinsqu", "side": 3.979280575249487, "solution_hash": "300596cf09652b9a", "solution_path": "data/solutions/generated/triinsqu_32_300596cf09652b9a.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinsqu@32", "container": {"circumradius": 2.8258720673212823, "orientation_radians": 0.0, "side_length": 3.996386603137053, "sides": 4, "type": "regular_polygon"}, "density": 0.8675921732131934, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.208596980261035e-06, "max_pair_overlap_depth": -2.3341135757526388e-06, "n": 32, "ok": true, "record_id": "f42801b713b9238d", "setup": "triinsqu", "side": 3.996386603137053, "solution_hash": "f42801b713b9238d", "solution_path": "data/solutions/generated/triinsqu_32_f42801b713b9238d.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinsqu@33", "container": {"circumradius": 2.8696820121015176, "orientation_radians": 0.0, "side_length": 4.058343221212078, "sides": 4, "type": "regular_polygon"}, "density": 0.8675949776849048, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -1.0747182587902822e-06, "max_pair_overlap_depth": -2.8024820216354662e-05, "n": 33, "ok": true, "record_id": "a6f49f2f24228d1b", "setup": "triinsqu", "side": 4.058343221212078, "solution_hash": "a6f49f2f24228d1b", "solution_path": "data/solutions/generated/triinsqu_33_a6f49f2f24228d1b.json", "tolerance": 1e-08, "warnings": []}
 {"case": "triinsqu@34", "container": {"circumradius": 2.897617160196922, "orientation_radians": 0.0, "side_length": 4.0978494865155, "sides": 4, "type": "regular_polygon"}, "density": 0.8767333914896571, "errors": [], "item": {"circumradius": 0.5773502691896258, "side_length": 1.0, "sides": 3, "type": "regular_polygon"}, "max_boundary_excess": -2.6262786795626285e-06, "max_pair_overlap_depth": -1.499292058504409e-05, "n": 34, "ok": true, "record_id": "61b4d5d6bf22a206", "setup": "triinsqu", "side": 4.0978494865155, "solution_hash": "61b4d5d6bf22a206", "solution_path": "data/solutions/generated/triinsqu_34_61b4d5d6bf22a206.json", "tolerance": 1e-08, "warnings": []}

data/solutions/generated/cirincir_001_d8dddd0385fd067c.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 1.0,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirincir_002_ab9a33067266df01.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 2.0,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirincir_003_fe973ff9a23dc34c.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 2.1547005383792515,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirincir_004_9d3e9e7ea6ba298b.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 2.414213562373095,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirincir_005_9c2ab1f687c06eec.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "steepest",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 2.701,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Graham"

data/solutions/generated/cirincir_006_5d3d5beee3c5f33c.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 3.0,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Graham"

data/solutions/generated/cirincir_007_2b1985e4094e6893.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 3.0,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Graham"

data/solutions/generated/cirincir_008_0193661647fd3854.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 3.304,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Braaksma"

data/solutions/generated/cirincir_009_b51df67181f6833b.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "steepest",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 3.613,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Pirl"

data/solutions/generated/cirincir_011_e624f391927921fb.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 3.923,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Melissen"

data/solutions/generated/cirincir_012_0d7fc8a14b1c4e0e.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.029,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Kravitz"

data/solutions/generated/cirincir_013_a118f33872e0cb30.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.23606797749979,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "F. Fodor"

data/solutions/generated/cirincir_014_b2ec44e582e5ab93.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.328,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Goldberg"

data/solutions/generated/cirincir_015_eeff7b918e6d6618.json

@@ -45,7 +45,10 @@
     "image_seed_recovery_log": "bench_outputs/friedman_image_seeds/bulk_recovery_after_quant_fix.jsonl",
     "image_seed_transform_error": 0.05462456891800099,
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.521,
     "source_image_url": "https://erich-friedman.github.io/packing/cirincir/ccc15.gif",
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T02:29:44+00:00",

data/solutions/generated/cirincir_016_7824261a02b5ed90.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.615,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Goldberg"

data/solutions/generated/cirincir_017_68c41c427924b99a.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.792,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Reis"

data/solutions/generated/cirincir_018_6acc78721c0b4ca1.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.863703305156273,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Kravitz"

data/solutions/generated/cirincir_019_8325b5bff319f74f.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.863703305156273,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "F. Fodor"

data/solutions/generated/cirincir_020_f0718319f5a05220.json

@@ -47,8 +47,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 5.122,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Goldberg"

data/solutions/generated/cirincir_10_be14c55679a54b28.json

@@ -44,7 +44,10 @@
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "image_seed_transform_error": 0.06260662900137194,
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 3.813,
     "source_url": "https://erich-friedman.github.io/packing/cirincir/",
     "submitted_at": "2026-05-01T02:08:58+00:00",
     "submitted_by": "Pirl"

data/solutions/generated/cirinhex_001_37d86bed2252b572.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 1.1547005383792515,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirinhex_002_4ba45a45587fd527.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 2.1547005383792515,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirinhex_003_fa4a26f729d80904.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 2.309401076758503,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirinhex_004_4ea68db180a8d4c4.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "steepest",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 2.6665584304161603,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Shahriar Manzoor"

data/solutions/generated/cirinhex_005_eb88c54ef20a6355.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 2.999,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Erich Friedman"

data/solutions/generated/cirinhex_006_9b7724fab73c49c1.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 3.1547005383792515,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirinhex_007_7368090471750227.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "steepest",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 3.1547005383792515,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirinhex_008_afebd04e4720460b.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 3.709,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_009_64b59a5605599f8e.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.011843395522108,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_010_cd79fdfeb9e3f24b.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.119,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_011_cda2ccbbf4de67aa.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.309401076758503,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Erich Friedman"

data/solutions/generated/cirinhex_012_c3d795864cfeb74c.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "steepest",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.309401076758503,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Erich Friedman"

data/solutions/generated/cirinhex_013_62c003d981fbe524.json

@@ -48,7 +48,10 @@
     "image_seed_recovery_log": "bench_outputs/friedman_image_seeds/bulk_recovery_after_quant_fix.jsonl",
     "image_seed_transform_error": 0.06561931753893137,
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.618802153517006,
     "source_image_url": "https://erich-friedman.github.io/packing/cirinhex/hc13.gif",
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T02:29:44+00:00",

data/solutions/generated/cirinhex_014_d3d8d6f246feeaad.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "steepest",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.666558430416161,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_015_d923ba7fbcb56e93.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.961,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_016_b6a042d1d6eee5a4.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 4.999,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_017_4927714d5d50ab2b.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 5.133,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_018_223b1a3f7b7d0e67.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 5.1547005383792515,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirinhex_019_78f9327e80d8ab20.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 5.1547005383792515,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirinhex_020_247c6c06779a7d8b.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 5.676,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_021_38040eceeb63c1e3.json

@@ -46,8 +46,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 5.709,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:47:21+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_022_cd7262f9f7d0d279.json

@@ -46,8 +46,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Verified coordinate layout matches or beats the Friedman metric; credited to the Friedman-listed finder.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 5.952,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:47:21+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_023_de2d2aabdc650ad2.json

@@ -46,8 +46,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 6.011843395522108,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:47:21+00:00",
     "submitted_by": "David W. Cantrell"

data/solutions/generated/cirinhex_024_61a86ae12328c1ca.json

@@ -46,8 +46,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 6.117,
     "source_url": "https://erich-friedman.github.io/packing/cirinhex/",
     "submitted_at": "2026-05-01T01:47:21+00:00",
     "submitted_by": "Rob Pratt"

data/solutions/generated/cirinpen_001_2249439da521383e.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "cg",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 1.453,
     "source_url": "https://erich-friedman.github.io/packing/cirinpen/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"

data/solutions/generated/cirinpen_002_042df6c460b769f5.json

@@ -50,8 +50,11 @@
     "generator": "coordinate_reconstruction",
     "generator_profile": "best of cg/steepest/sa seed profiles",
     "leaderboard_status": "current_best_coordinate",
+    "metric_recovery_tolerance_rel": 0.001,
     "notes": "Best available verified coordinate reconstruction, but its evaluator metric is worse than the Friedman reference.",
     "profile": "sa",
+    "public_credit_policy": "@1 cases are credited as Trivial; Nathan Roll is credited only for non-image-seeded coordinate improvements above 0.15% relative to the Friedman reference metric.",
+    "reference_side": 2.689,
     "source_url": "https://erich-friedman.github.io/packing/cirinpen/",
     "submitted_at": "2026-05-01T01:05:47+00:00",
     "submitted_by": "Trivial"