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TopoBox-3D/protocol_C/train/PC_train_0593_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0593_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1310655630,
+  "geometry": {
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+    "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,
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+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
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+    "n_edges": 9058,
+    "n_faces": 13952,
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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_0594_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0594_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1313134909,
+  "geometry": {
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+    "measured_min_clearance": 0.153861530882008
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+  "box": [
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+    1.0,
+    1.0
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+    "boundary_components": 3,
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+    "n_edges": 12191,
+    "n_faces": 19128,
+    "n_tetrahedra": 9020,
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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_0595_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0595_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 2140747180,
+  "geometry": {
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+    "tunnels": [],
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+        "center": [
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+          0.42435123966221777
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.24088553128717916
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+  "box": [
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+    1.0
+  ],
+  "topology": {
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+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
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+    "n_edges": 11554,
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+    "mean": 0.8660294413566589,
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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_0596_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0596_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1638240239,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
+  },
+  "box": [
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+    1.0,
+    1.0
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+  "topology": {
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+    "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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+  "mesh_quality": {
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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_0597_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0597_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1776910025,
+  "geometry": {
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+    "cavities": [
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+        "rotation_angle": 0.0
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+      {
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.13050788395695162
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+  "box": [
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+    1.0,
+    1.0
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+  "topology": {
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+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2024,
+    "n_edges": 11768,
+    "n_faces": 18403,
+    "n_tetrahedra": 8656,
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+    "mean": 0.8616602420806885,
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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_0598_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0598_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1995750182,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
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+        "center": [
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+          0.726751760229928
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+        "axes": [
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.10840997744930306
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+  "box": [
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+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1941,
+    "n_edges": 11178,
+    "n_faces": 17404,
+    "n_tetrahedra": 8165,
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+    "p01": 0.6558247494697571,
+    "mean": 0.8620115518569946,
+    "maximum": 0.999247133731842
+  },
+  "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_0599_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0599_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 849414755,
+  "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
+  },
+  "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_0600_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0600_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 876758756,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
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+        "center": [
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+          0.36668951018261364,
+          0.5071433872995414
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+        "axes": [
+          0.16007888497992867,
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+          0.16007888497992867
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+        "rotation_axis": [
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+          1.0
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+        "rotation_angle": 0.0
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+      {
+        "kind": "sphere",
+        "center": [
+          1.6381269708075423,
+          0.2684140895579815,
+          0.5146133115634662
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+        "axes": [
+          0.12082925701195407,
+          0.12082925701195407,
+          0.12082925701195407
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.14475707229443163
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2153,
+    "n_edges": 12591,
+    "n_faces": 19753,
+    "n_tetrahedra": 9312,
+    "nonmanifold_faces": 0
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+  "mesh_quality": {
+    "minimum": 0.5485437512397766,
+    "p01": 0.6670114254951477,
+    "mean": 0.8638235330581665,
+    "maximum": 0.9999043345451355
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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_C/train/PC_train_0601_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0601_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 200216954,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
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+        "center": [
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+          0.46100004288389174,
+          0.30409906458200964
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+        "axes": [
+          0.15424625225304306,
+          0.15424625225304306,
+          0.15424625225304306
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+        "rotation_axis": [
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+          0.0,
+          1.0
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+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.14985281232896658
+  },
+  "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": 1956,
+    "n_edges": 11305,
+    "n_faces": 17645,
+    "n_tetrahedra": 8294,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5331298112869263,
+    "p01": 0.6727825051546097,
+    "mean": 0.8659815192222595,
+    "maximum": 0.9997664093971252
+  },
+  "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_0602_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0602_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1410156157,
+  "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_C/train/PC_train_0603_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0603_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1170029993,
+  "geometry": {
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+    "tunnels": [],
+    "cavities": [
+      {
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+        "center": [
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+          0.4832144801513738,
+          0.584361642064217
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+        "axes": [
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+          0.12164805038881751,
+          0.12164805038881751
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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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+          0.3066430603203878,
+          0.624012999602098
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+        "axes": [
+          0.14412325760351147,
+          0.14412325760351147,
+          0.14412325760351147
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+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
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+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.1260160943130803
+  },
+  "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": 2150,
+    "n_edges": 12546,
+    "n_faces": 19684,
+    "n_tetrahedra": 9285,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5405279994010925,
+    "p01": 0.6730704283714295,
+    "mean": 0.867816150188446,
+    "maximum": 0.9977051615715027
+  },
+  "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_0604_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0604_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1221496238,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
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+        "center": [
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+          0.7391484861620334,
+          0.3744793774058722
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+        "axes": [
+          0.1435705625200031,
+          0.1435705625200031,
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.11728095131796346
+  },
+  "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": 1882,
+    "n_edges": 10823,
+    "n_faces": 16845,
+    "n_tetrahedra": 7902,
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+  "mesh_quality": {
+    "minimum": 0.5238212943077087,
+    "p01": 0.6682461851835251,
+    "mean": 0.8627850413322449,
+    "maximum": 0.9995890855789185
+  },
+  "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_0605_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0605_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1274834488,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
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+  "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,
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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_C/train/PC_train_0606_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0606_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1541233376,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
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+        "center": [
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+          0.5102224046300091,
+          0.46662998467359273
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+        "axes": [
+          0.13741020224602601,
+          0.13741020224602601,
+          0.13741020224602601
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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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+          0.3434087337229248,
+          0.4204852236907387
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+        "axes": [
+          0.13086169674733283,
+          0.13086169674733283,
+          0.13086169674733283
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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": 0.21254703697559196
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2189,
+    "n_edges": 12883,
+    "n_faces": 20292,
+    "n_tetrahedra": 9595,
+    "nonmanifold_faces": 0
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+  "mesh_quality": {
+    "minimum": 0.5300134420394897,
+    "p01": 0.6745364832878112,
+    "mean": 0.8675919771194458,
+    "maximum": 0.9984453320503235
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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_0607_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0607_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 933324107,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
+          0.4652745961279523,
+          0.2748392717181613,
+          0.515996002080278
+        ],
+        "axes": [
+          0.12625979398654252,
+          0.12625979398654252,
+          0.12625979398654252
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
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+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.14857947773161878
+  },
+  "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": 1826,
+    "n_edges": 10469,
+    "n_faces": 16279,
+    "n_tetrahedra": 7634,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5694738030433655,
+    "p01": 0.6803720963001251,
+    "mean": 0.8662917613983154,
+    "maximum": 0.9983714818954468
+  },
+  "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_0608_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0608_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 939110535,
+  "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_0609_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0609_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1438455737,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.28078386236363756,
+          0.45891991744259086
+        ],
+        "axes": [
+          0.1464934664019179,
+          0.1464934664019179,
+          0.1464934664019179
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
+          0.4302068784834049,
+          0.2727980976051927,
+          0.30789476999931986
+        ],
+        "axes": [
+          0.14502158329276546,
+          0.14502158329276546,
+          0.14502158329276546
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.12777651431242723
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2140,
+    "n_edges": 12482,
+    "n_faces": 19556,
+    "n_tetrahedra": 9211,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5737629532814026,
+    "p01": 0.6799544632434845,
+    "mean": 0.8630812168121338,
+    "maximum": 0.9976300001144409
+  },
+  "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_0610_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0610_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 674079445,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.43937419607522854,
+          0.5338396241325742
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+        "axes": [
+          0.15837993820172847,
+          0.15837993820172847,
+          0.15837993820172847
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.2809942578735001
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 2024,
+    "n_edges": 11742,
+    "n_faces": 18372,
+    "n_tetrahedra": 8652,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5761920809745789,
+    "p01": 0.6850300657749177,
+    "mean": 0.8693203926086426,
+    "maximum": 0.9994149208068848
+  },
+  "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_0611_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0611_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1471229043,
+  "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_0612_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0612_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 837517236,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.6701340372599529,
+          0.40595588034543684
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+        "axes": [
+          0.15615794349479242,
+          0.15615794349479242,
+          0.15615794349479242
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
+          1.00921323345819,
+          0.5211391618421848,
+          0.7369867577040807
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+        "axes": [
+          0.1599563837809835,
+          0.1599563837809835,
+          0.1599563837809835
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.10305685851493576
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2201,
+    "n_edges": 12857,
+    "n_faces": 20159,
+    "n_tetrahedra": 9500,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5002039670944214,
+    "p01": 0.6602751910686493,
+    "mean": 0.8625722527503967,
+    "maximum": 0.999769389629364
+  },
+  "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_0613_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0613_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 124179075,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.5628623104477526,
+          0.5600815169020136
+        ],
+        "axes": [
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+          0.13825878492814897,
+          0.13825878492814897
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.29887890462409844
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1944,
+    "n_edges": 11252,
+    "n_faces": 17581,
+    "n_tetrahedra": 8271,
+    "nonmanifold_faces": 0
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+  "mesh_quality": {
+    "minimum": 0.4922972619533539,
+    "p01": 0.6771869659423828,
+    "mean": 0.8668156862258911,
+    "maximum": 0.998592734336853
+  },
+  "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_0614_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0614_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1460565571,
+  "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_0615_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0615_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 412088368,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.40896021860729304,
+          0.5751647100619213
+        ],
+        "axes": [
+          0.13441726537620183,
+          0.13441726537620183,
+          0.13441726537620183
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      },
+      {
+        "kind": "sphere",
+        "center": [
+          0.41699370851222695,
+          0.3817815115385229,
+          0.6342999856091355
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+        "axes": [
+          0.15764956673855648,
+          0.15764956673855648,
+          0.15764956673855648
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+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.20805044765230804
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2265,
+    "n_edges": 13346,
+    "n_faces": 21030,
+    "n_tetrahedra": 9946,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.5153385400772095,
+    "p01": 0.6645139127969741,
+    "mean": 0.8668272495269775,
+    "maximum": 0.9993988275527954
+  },
+  "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_0616_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0616_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1536007653,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
+      {
+        "kind": "sphere",
+        "center": [
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+          0.25585582605864216,
+          0.3521484215117772
+        ],
+        "axes": [
+          0.13558996191545758,
+          0.13558996191545758,
+          0.13558996191545758
+        ],
+        "rotation_axis": [
+          0.0,
+          0.0,
+          1.0
+        ],
+        "rotation_angle": 0.0
+      }
+    ],
+    "measured_min_clearance": 0.12026586414318458
+  },
+  "box": [
+    2.0,
+    1.0,
+    1.0
+  ],
+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1869,
+    "n_edges": 10675,
+    "n_faces": 16549,
+    "n_tetrahedra": 7741,
+    "nonmanifold_faces": 0
+  },
+  "mesh_quality": {
+    "minimum": 0.4326302707195282,
+    "p01": 0.6447552442550659,
+    "mean": 0.8595948815345764,
+    "maximum": 0.9974645376205444
+  },
+  "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_0617_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0617_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1170390817,
+  "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"
+  }
+}