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TopoBox-3D/protocol_D/train/PD_train_0073_b21/metadata.json

@@ -0,0 +1,128 @@
+{
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+  "protocol": "D",
+  "protocol_name": "mix_ood",
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+    "geometry_feature_names": [
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+      "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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+    "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_D/train/PD_train_0074_b22/metadata.json

@@ -0,0 +1,147 @@
+{
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+    "geometry_feature_names": [
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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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+    "regular_grid_feature_names": [
+      "x_normalized",
+      "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"
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+    "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."
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+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
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+}

TopoBox-3D/protocol_D/train/PD_train_0075_b11/metadata.json

@@ -0,0 +1,114 @@
+{
+  "geometry_id": "PD_train_0075_b11",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 1,
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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": [
+      "x_normalized",
+      "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_resolution": [
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+    "regular_grid_feature_names": [
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+      "y_normalized",
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+      "is_boundary",
+      "analytic_domain_sdf"
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+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
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+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
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+    "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_D/train/PD_train_0076_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PD_train_0076_b00",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
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+  "geometry": {
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+    "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
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+    "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_D/train/PD_train_0077_b12/metadata.json

@@ -0,0 +1,133 @@
+{
+  "geometry_id": "PD_train_0077_b12",
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+  "geometry_family": "A",
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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.",
+    "regular_grid_resolution": [
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+    "regular_grid_feature_names": [
+      "x_normalized",
+      "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_D/train/PD_train_0078_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PD_train_0078_b01",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
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+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1422550799,
+  "geometry": {
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+    "measured_min_clearance": 0.2402463696975653
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+    "boundary_components": 2,
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+    "n_edges": 10444,
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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
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+    "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_D/train/PD_train_0079_b20/metadata.json

@@ -0,0 +1,108 @@
+{
+  "geometry_id": "PD_train_0079_b20",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
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+  "beta1": 2,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 670514486,
+  "geometry": {
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+          0.3572460988898835,
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+          1.2763431539109995,
+          0.3572460988898835,
+          1.0
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+        "radius": 0.13361238250709068
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+      {
+        "kind": "circular_cylinder",
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+          0.2401602246557588,
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+          0.8278857181446002,
+          0.2401602246557588,
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+        "radius": 0.11136199834306328
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+    "cavities": [],
+    "measured_min_clearance": 0.12879822631269555
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+  "box": [
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+    1.0,
+    1.0
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+  "topology": {
+    "beta0": 1,
+    "beta1": 2,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": -1,
+    "boundary_components": 1,
+    "n_vertices": 2730,
+    "n_edges": 15709,
+    "n_faces": 24382,
+    "n_tetrahedra": 11404,
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+    "mean": 0.8585953712463379,
+    "maximum": 0.9979023337364197
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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
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+    "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_D/train/PD_train_0080_b10/metadata.json

@@ -0,0 +1,94 @@
+{
+  "geometry_id": "PD_train_0080_b10",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
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+  "beta1": 1,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 738683238,
+  "geometry": {
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+        "radius": 0.12951270399117748
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+    "cavities": [],
+    "measured_min_clearance": 0.2751900635249643
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+  "box": [
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+    1.0
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+    "beta0": 1,
+    "beta1": 1,
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+    "beta3": 0,
+    "euler_characteristic": 0,
+    "boundary_components": 1,
+    "n_vertices": 2266,
+    "n_edges": 13028,
+    "n_faces": 20248,
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+  "mesh_quality": {
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+    "p01": 0.657641950249672,
+    "mean": 0.86074298620224,
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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
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+    "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_D/train/PD_train_0081_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PD_train_0081_b02",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
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+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 593320252,
+  "geometry": {
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+        "rotation_angle": 0.0
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+      {
+        "kind": "sphere",
+        "center": [
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.20862333290914412
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+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
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+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
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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": [
+      "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_D/train/PD_train_0082_b21/metadata.json

@@ -0,0 +1,128 @@
+{
+  "geometry_id": "PD_train_0082_b21",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
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+  "beta1": 2,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 785458750,
+  "geometry": {
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+          0.5761986866320971,
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+        "radius": 0.10605978559694101
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+          0.29343088717851007,
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.17791265080986343
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+  "topology": {
+    "beta0": 1,
+    "beta1": 2,
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+    "beta3": 0,
+    "euler_characteristic": 0,
+    "boundary_components": 2,
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+    "mean": 0.8629932403564453,
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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
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+    "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_D/train/PD_train_0083_b22/metadata.json

@@ -0,0 +1,147 @@
+{
+  "geometry_id": "PD_train_0083_b22",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
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+  "beta1": 2,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 152238368,
+  "geometry": {
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+      {
+        "kind": "sphere",
+        "center": [
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+        "rotation_axis": [
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+    "measured_min_clearance": 0.12327655854315345
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+  "box": [
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+  "topology": {
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+    "beta1": 2,
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+    "euler_characteristic": 1,
+    "boundary_components": 3,
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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"
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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.",
+    "regular_grid_resolution": [
+      32,
+      16,
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+    "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_D/train/PD_train_0084_b11/metadata.json

@@ -0,0 +1,114 @@
+{
+  "geometry_id": "PD_train_0084_b11",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
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+  "beta1": 1,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 587444487,
+  "geometry": {
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+          0.5034168086184938,
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.10430088851318413
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+  "box": [
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+  "topology": {
+    "beta0": 1,
+    "beta1": 1,
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+    "euler_characteristic": 1,
+    "boundary_components": 2,
+    "n_vertices": 2479,
+    "n_edges": 14365,
+    "n_faces": 22404,
+    "n_tetrahedra": 10517,
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+  "mesh_quality": {
+    "minimum": 0.4105773866176605,
+    "p01": 0.6564523148536682,
+    "mean": 0.8610148429870605,
+    "maximum": 0.999160647392273
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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
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+    "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_D/train/PD_train_0085_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PD_train_0085_b00",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1254961393,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
+  },
+  "box": [
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+    1.0,
+    1.0
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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,
+    "nonmanifold_faces": 0
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+  "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_D/train/PD_train_0086_b12/metadata.json

@@ -0,0 +1,133 @@
+{
+  "geometry_id": "PD_train_0086_b12",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 1,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 455913707,
+  "geometry": {
+    "family": "A",
+    "tunnels": [
+      {
+        "kind": "circular_cylinder",
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+          0.3827302634132673,
+          0.0
+        ],
+        "end": [
+          0.32815964039149326,
+          0.3827302634132673,
+          1.0
+        ],
+        "radius": 0.13260135614536225
+      }
+    ],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
+          1.211317526441504,
+          0.38409345941098294,
+          0.39385202750137005
+        ],
+        "axes": [
+          0.14872568900557256,
+          0.14872568900557256,
+          0.14872568900557256
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
+          1.3840843973367392,
+          0.45761613620960817,
+          0.7368003066485838
+        ],
+        "axes": [
+          0.1297534137494056,
+          0.1297534137494056,
+          0.1297534137494056
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.11250363069063218
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 1,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 3,
+    "n_vertices": 2579,
+    "n_edges": 15062,
+    "n_faces": 23572,
+    "n_tetrahedra": 11087,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5440159440040588,
+    "p01": 0.6605500662326813,
+    "mean": 0.8614051938056946,
+    "maximum": 0.9963428974151611
+  },
+  "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_D/train/PD_train_0087_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PD_train_0087_b01",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1444695261,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.32344586377232903,
+          0.3873193027739076
+        ],
+        "axes": [
+          0.15240224756854248,
+          0.15240224756854248,
+          0.15240224756854248
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
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+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.17104361620378655
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1935,
+    "n_edges": 11162,
+    "n_faces": 17403,
+    "n_tetrahedra": 8174,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5713875889778137,
+    "p01": 0.6786893159151077,
+    "mean": 0.8647854924201965,
+    "maximum": 0.9972338080406189
+  },
+  "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_D/train/PD_train_0088_b20/metadata.json

@@ -0,0 +1,108 @@
+{
+  "geometry_id": "PD_train_0088_b20",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 2,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 638651555,
+  "geometry": {
+    "family": "A",
+    "tunnels": [
+      {
+        "kind": "circular_cylinder",
+        "start": [
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+          0.6276757274099747,
+          0.0
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+          1.2122326121562508,
+          0.6276757274099747,
+          1.0
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+        "radius": 0.11982857942150271
+      },
+      {
+        "kind": "circular_cylinder",
+        "start": [
+          1.2058536377807456,
+          0.29922147359044426,
+          0.0
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+        "end": [
+          1.2058536377807456,
+          0.29922147359044426,
+          1.0
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+        "radius": 0.10367025688615943
+      }
+    ],
+    "cavities": [],
+    "measured_min_clearance": 0.1050173553271306
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 2,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": -1,
+    "boundary_components": 1,
+    "n_vertices": 2578,
+    "n_edges": 14786,
+    "n_faces": 22904,
+    "n_tetrahedra": 10697,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.437294065952301,
+    "p01": 0.642074933052063,
+    "mean": 0.8558183908462524,
+    "maximum": 0.9982115626335144
+  },
+  "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_D/train/PD_train_0089_b10/metadata.json

@@ -0,0 +1,94 @@
+{
+  "geometry_id": "PD_train_0089_b10",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 1,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 2116522984,
+  "geometry": {
+    "family": "A",
+    "tunnels": [
+      {
+        "kind": "circular_cylinder",
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+          0.7719204975679771,
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+        "end": [
+          0.9257734866401951,
+          0.7719204975679771,
+          1.0
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+        "radius": 0.12021736612213718
+      }
+    ],
+    "cavities": [],
+    "measured_min_clearance": 0.10786213630988573
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 1,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": 0,
+    "boundary_components": 1,
+    "n_vertices": 2338,
+    "n_edges": 13446,
+    "n_faces": 20898,
+    "n_tetrahedra": 9790,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.49947765469551086,
+    "p01": 0.6446166181564331,
+    "mean": 0.8602142333984375,
+    "maximum": 0.9992985129356384
+  },
+  "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_D/train/PD_train_0090_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PD_train_0090_b02",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1010812498,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
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+        "center": [
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+          0.2741446772106381,
+          0.750350301557434
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+        "axes": [
+          0.13126419874349962,
+          0.13126419874349962,
+          0.13126419874349962
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
+          1.723805549301953,
+          0.7397721356486779,
+          0.5159562181524882
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+        "axes": [
+          0.1453454155060171,
+          0.1453454155060171,
+          0.1453454155060171
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+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
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+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.11488244884530496
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2055,
+    "n_edges": 11882,
+    "n_faces": 18526,
+    "n_tetrahedra": 8696,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.48661500215530396,
+    "p01": 0.6657217800617218,
+    "mean": 0.8608354926109314,
+    "maximum": 0.9980013370513916
+  },
+  "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_D/train/PD_train_0091_b21/metadata.json

@@ -0,0 +1,128 @@
+{
+  "geometry_id": "PD_train_0091_b21",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 2,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 883679405,
+  "geometry": {
+    "family": "A",
+    "tunnels": [
+      {
+        "kind": "circular_cylinder",
+        "start": [
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+          0.7487087598845035,
+          0.0
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+        "end": [
+          1.4861484923752308,
+          0.7487087598845035,
+          1.0
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+        "radius": 0.11532088611983844
+      },
+      {
+        "kind": "circular_cylinder",
+        "start": [
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+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
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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": [
+      "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
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+    "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_D/train/PD_train_0092_b22/metadata.json

@@ -0,0 +1,147 @@
+{
+  "geometry_id": "PD_train_0092_b22",
+  "protocol": "D",
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.10059068701691773
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+  "box": [
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+    "euler_characteristic": 1,
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+    "geometry_feature_names": [
+      "x_normalized",
+      "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.",
+    "regular_grid_resolution": [
+      32,
+      16,
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+    "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_D/train/PD_train_0093_b11/metadata.json

@@ -0,0 +1,114 @@
+{
+  "geometry_id": "PD_train_0093_b11",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
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+  "geometry_family": "A",
+  "seed": 262895372,
+  "geometry": {
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.16988061164602308
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+  "box": [
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+    "beta0": 1,
+    "beta1": 1,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 2,
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+    "n_edges": 14392,
+    "n_faces": 22519,
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+    "p01": 0.6720297062397003,
+    "mean": 0.8641663789749146,
+    "maximum": 0.9995518326759338
+  },
+  "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
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+    "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_D/train/PD_train_0094_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PD_train_0094_b00",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
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+  "beta1": 0,
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+  "geometry_family": "A",
+  "seed": 1059318842,
+  "geometry": {
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+  "topology": {
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+    "euler_characteristic": 1,
+    "boundary_components": 1,
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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_D/train/PD_train_0095_b12/metadata.json

@@ -0,0 +1,133 @@
+{
+  "geometry_id": "PD_train_0095_b12",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 1,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 91446947,
+  "geometry": {
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+          0.6572180650998691,
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+        "radius": 0.12561122524964952
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+    "cavities": [
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+          0.15828434298606156
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+        "rotation_angle": 0.0
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+      {
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+        "center": [
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+          0.3565346486540978,
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+          0.13486555756851906,
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.12263060313816262
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+  "box": [
+    2.0,
+    1.0,
+    1.0
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+    "beta0": 1,
+    "beta1": 1,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 3,
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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
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+    "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_D/train/PD_train_0096_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PD_train_0096_b01",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1101284816,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.35687274476593855,
+          0.3285818867793798
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+        "axes": [
+          0.16130422907141434,
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+          0.16130422907141434
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.16727765770796543
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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": 1932,
+    "n_edges": 11134,
+    "n_faces": 17341,
+    "n_tetrahedra": 8137,
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+  "mesh_quality": {
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+    "p01": 0.6717337703704834,
+    "mean": 0.8636523485183716,
+    "maximum": 0.9997945427894592
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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_D/train/PD_train_0097_b20/metadata.json

@@ -0,0 +1,108 @@
+{
+  "geometry_id": "PD_train_0097_b20",
+  "protocol": "D",
+  "protocol_name": "mix_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 2,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1071711719,
+  "geometry": {
+    "family": "A",
+    "tunnels": [
+      {
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+          0.7857347719200094,
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+        "end": [
+          1.5816086726870726,
+          0.7857347719200094,
+          1.0
+        ],
+        "radius": 0.11238963351904555
+      },
+      {
+        "kind": "circular_cylinder",
+        "start": [
+          1.2758865450278163,
+          0.242569823318606,
+          0.0
+        ],
+        "end": [
+          1.2758865450278163,
+          0.242569823318606,
+          1.0
+        ],
+        "radius": 0.10970127317005676
+      }
+    ],
+    "cavities": [],
+    "measured_min_clearance": 0.10187559456094505
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 2,
+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": -1,
+    "boundary_components": 1,
+    "n_vertices": 2737,
+    "n_edges": 15725,
+    "n_faces": 24382,
+    "n_tetrahedra": 11395,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.45786479115486145,
+    "p01": 0.6418608856201172,
+    "mean": 0.8570647835731506,
+    "maximum": 0.9984328150749207
+  },
+  "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"
+  }
+}