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TopoBox-3D/protocol_C/train/PC_train_0693_b02/metadata.json

@@ -0,0 +1,118 @@
+{
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+      "z_normalized",
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+    "regular_grid_feature_names": [
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+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
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+}

TopoBox-3D/protocol_C/train/PC_train_0694_b01/metadata.json

@@ -0,0 +1,99 @@
+{
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+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
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+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
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+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
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+}

TopoBox-3D/protocol_C/train/PC_train_0695_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0695_b00",
+  "protocol": "C",
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+  "split": "train",
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+    "geometry_feature_names": [
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+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
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+    "regular_grid_feature_names": [
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+      "z_normalized",
+      "is_boundary",
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+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
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+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
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+}

TopoBox-3D/protocol_C/train/PC_train_0696_b02/metadata.json

@@ -0,0 +1,118 @@
+{
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+      "y_normalized",
+      "z_normalized",
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+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0697_b01/metadata.json

@@ -0,0 +1,99 @@
+{
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+  "protocol": "C",
+  "protocol_name": "beta2_ood",
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+    "measured_min_clearance": 0.11772194305855377
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+    "geometry_feature_names": [
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+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
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+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
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+      16,
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+    "regular_grid_feature_names": [
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+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
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+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
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+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
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+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0698_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0698_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
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+    "geometry_feature_names": [
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+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
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+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
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+    "regular_grid_feature_names": [
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+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
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+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0699_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0699_b02",
+  "protocol": "C",
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+    "measured_min_clearance": 0.11057662981422202
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+  "boundary_encoding": {
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+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
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+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0700_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0700_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 696308112,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.5317813728352468,
+          0.5505162928183234
+        ],
+        "axes": [
+          0.1585979906877504,
+          0.1585979906877504,
+          0.1585979906877504
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+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
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+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.25403866137383924
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1949,
+    "n_edges": 11258,
+    "n_faces": 17554,
+    "n_tetrahedra": 8243,
+    "nonmanifold_faces": 0
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+  "mesh_quality": {
+    "minimum": 0.5277615785598755,
+    "p01": 0.6772475671768189,
+    "mean": 0.8631681203842163,
+    "maximum": 0.9996758103370667
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0701_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0701_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 643526517,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
+    "n_faces": 13952,
+    "n_tetrahedra": 6503,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5418422222137451,
+    "p01": 0.6758164846897126,
+    "mean": 0.8633638620376587,
+    "maximum": 0.9988067150115967
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0702_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0702_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 773832343,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.7175226172315614,
+          0.3621271295165742
+        ],
+        "axes": [
+          0.12500361320897985,
+          0.12500361320897985,
+          0.12500361320897985
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+        "rotation_axis": [
+          0.0,
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+          1.0
+        ],
+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
+          0.5479563718724878,
+          0.7387593039484417,
+          0.6004891997212789
+        ],
+        "axes": [
+          0.1262722986109122,
+          0.1262722986109122,
+          0.1262722986109122
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.1261444657671006
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 1980,
+    "n_edges": 11451,
+    "n_faces": 17860,
+    "n_tetrahedra": 8386,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5226134061813354,
+    "p01": 0.6696052789688111,
+    "mean": 0.8637763261795044,
+    "maximum": 0.9995717406272888
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0703_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0703_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1654567528,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.2776368192227631,
+          0.7260293938094389
+        ],
+        "axes": [
+          0.13950229478901233,
+          0.13950229478901233,
+          0.13950229478901233
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+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.1344683114015488
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1903,
+    "n_edges": 10900,
+    "n_faces": 16943,
+    "n_tetrahedra": 7944,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5616135001182556,
+    "p01": 0.6836084282398224,
+    "mean": 0.8676176071166992,
+    "maximum": 0.9982796907424927
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0704_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0704_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 223792597,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
+  },
+  "box": [
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+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
+    "n_faces": 13952,
+    "n_tetrahedra": 6503,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5418422222137451,
+    "p01": 0.6758164846897126,
+    "mean": 0.8633638620376587,
+    "maximum": 0.9988067150115967
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0705_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0705_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 259504935,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
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+        "center": [
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+          0.5909194182025228,
+          0.3161286745092438
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+        "axes": [
+          0.1408280934628464,
+          0.1408280934628464,
+          0.1408280934628464
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
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+          0.31335384968515334,
+          0.6622389263116508
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+        "axes": [
+          0.14445593748694693,
+          0.14445593748694693,
+          0.14445593748694693
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+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.1688979121982064
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2202,
+    "n_edges": 12950,
+    "n_faces": 20377,
+    "n_tetrahedra": 9626,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5766637325286865,
+    "p01": 0.6672004759311676,
+    "mean": 0.8642342686653137,
+    "maximum": 0.999809205532074
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0706_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0706_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 665306343,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.459485203198594,
+          0.2549251097183812
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+        "axes": [
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+          0.14641921144890335,
+          0.14641921144890335
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.10850589826947787
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
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+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1929,
+    "n_edges": 11123,
+    "n_faces": 17340,
+    "n_tetrahedra": 8144,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5588746070861816,
+    "p01": 0.6671142452955247,
+    "mean": 0.8618653416633606,
+    "maximum": 0.9981119632720947
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0707_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0707_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1421000531,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
+    "n_faces": 13952,
+    "n_tetrahedra": 6503,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5418422222137451,
+    "p01": 0.6758164846897126,
+    "mean": 0.8633638620376587,
+    "maximum": 0.9988067150115967
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0708_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0708_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 935997591,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
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+        "center": [
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+          0.41455930602074653,
+          0.294333604658775
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+        "axes": [
+          0.16201160310468526,
+          0.16201160310468526,
+          0.16201160310468526
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+        "rotation_axis": [
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+          0.0,
+          1.0
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+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
+          1.2953400809741924,
+          0.7112084826464993,
+          0.5550554771951015
+        ],
+        "axes": [
+          0.16491044783890488,
+          0.16491044783890488,
+          0.16491044783890488
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.12388106951459585
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2251,
+    "n_edges": 13169,
+    "n_faces": 20663,
+    "n_tetrahedra": 9742,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5446045398712158,
+    "p01": 0.6680950891971588,
+    "mean": 0.865098237991333,
+    "maximum": 0.9983806610107422
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0709_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0709_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 669417161,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
+          0.42811160492085965,
+          0.324505590063281,
+          0.3456197256514351
+        ],
+        "axes": [
+          0.134200591787269,
+          0.134200591787269,
+          0.134200591787269
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.190304998276012
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1906,
+    "n_edges": 11007,
+    "n_faces": 17166,
+    "n_tetrahedra": 8063,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5418012142181396,
+    "p01": 0.6607142865657807,
+    "mean": 0.8602665662765503,
+    "maximum": 0.9989415407180786
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0710_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0710_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 16969459,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
+    "n_faces": 13952,
+    "n_tetrahedra": 6503,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5418422222137451,
+    "p01": 0.6758164846897126,
+    "mean": 0.8633638620376587,
+    "maximum": 0.9988067150115967
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0711_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0711_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 401741541,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.4385654277364204,
+          0.2957651108034344
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+        "axes": [
+          0.15860819033171658,
+          0.15860819033171658,
+          0.15860819033171658
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+        "rotation_axis": [
+          0.0,
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+          1.0
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+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
+          1.468565131006991,
+          0.7569577784323767,
+          0.776375999491202
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+        "axes": [
+          0.1207144488385888,
+          0.1207144488385888,
+          0.1207144488385888
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+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.10290955167020925
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2195,
+    "n_edges": 12862,
+    "n_faces": 20198,
+    "n_tetrahedra": 9528,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.4807945787906647,
+    "p01": 0.6580341190099717,
+    "mean": 0.862488329410553,
+    "maximum": 0.9992468953132629
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0712_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0712_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1907165347,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.5213708518725194,
+          0.7090550394809823
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+        "axes": [
+          0.16356361350346715,
+          0.16356361350346715,
+          0.16356361350346715
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+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.1273813470155506
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 2001,
+    "n_edges": 11580,
+    "n_faces": 18085,
+    "n_tetrahedra": 8504,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.594234824180603,
+    "p01": 0.6780992716550827,
+    "mean": 0.8644112348556519,
+    "maximum": 0.9995591640472412
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0713_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0713_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 35273169,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
+    "n_faces": 13952,
+    "n_tetrahedra": 6503,
+    "nonmanifold_faces": 0
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+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0714_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0714_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
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+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1323620566,
+  "geometry": {
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+        "rotation_angle": 0.0
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+      {
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+          0.16198074854489727,
+          0.16198074854489727
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+        "rotation_axis": [
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+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.12225527188960447
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+  "box": [
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+    1.0,
+    1.0
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+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2261,
+    "n_edges": 13320,
+    "n_faces": 20976,
+    "n_tetrahedra": 9914,
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+    "minimum": 0.5129032135009766,
+    "p01": 0.6643732637166977,
+    "mean": 0.8646453022956848,
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+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0715_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0715_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1682311942,
+  "geometry": {
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+      {
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+        "center": [
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+          0.6697332134881793
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+        "axes": [
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+          0.1633859875237602
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
+      }
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+    "measured_min_clearance": 0.16688079898806052
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+  "box": [
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+    1.0,
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+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1977,
+    "n_edges": 11426,
+    "n_faces": 17835,
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+    "p01": 0.6662572014331818,
+    "mean": 0.8646553754806519,
+    "maximum": 0.9996533989906311
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+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0716_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0716_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 670731536,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
+  },
+  "box": [
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+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
+    "n_faces": 13952,
+    "n_tetrahedra": 6503,
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+    "p01": 0.6758164846897126,
+    "mean": 0.8633638620376587,
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+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0717_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0717_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 721241728,
+  "geometry": {
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+    "tunnels": [],
+    "cavities": [
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+        "center": [
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+          0.4223178557828045,
+          0.47124662182332255
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+        "axes": [
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+          0.1409889312958818,
+          0.1409889312958818
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
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+          0.42039572252273993,
+          0.5375046119664237
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+        "axes": [
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+          0.16203283530586868,
+          0.16203283530586868
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+        "rotation_axis": [
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+          0.0,
+          1.0
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+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.2583628872168713
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
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+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2248,
+    "n_edges": 13216,
+    "n_faces": 20804,
+    "n_tetrahedra": 9833,
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+  "mesh_quality": {
+    "minimum": 0.5582662224769592,
+    "p01": 0.6791812491416931,
+    "mean": 0.8689658045768738,
+    "maximum": 0.9990588426589966
+  },
+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}