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TopoBox-3D/protocol_C/train/PC_train_0793_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0793_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 374108704,
+  "geometry": {
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+        "rotation_angle": 0.0
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+  "box": [
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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_C/train/PC_train_0794_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0794_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
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+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1143381108,
+  "geometry": {
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+    "cavities": [],
+    "measured_min_clearance": 1.0
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+    "euler_characteristic": 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"
+    ],
+    "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_0795_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0795_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
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+  "beta2": 2,
+  "geometry_family": "A",
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+  "geometry": {
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+      {
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.19853478210167844
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+  "box": [
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+    1.0
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+  "topology": {
+    "beta0": 1,
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+    "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.",
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+      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_0796_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0796_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1674262548,
+  "geometry": {
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.18774454913716107
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+  "box": [
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+    "beta3": 0,
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+    "boundary_components": 2,
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+    "n_edges": 11515,
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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_0797_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_train_0797_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1994767927,
+  "geometry": {
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+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
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+  "box": [
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+  "topology": {
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+    "beta2": 0,
+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
+    "n_faces": 13952,
+    "n_tetrahedra": 6503,
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+    "p01": 0.6758164846897126,
+    "mean": 0.8633638620376587,
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+  "boundary_encoding": {
+    "boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
+    "distance_sentinel": 2.5,
+    "distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
+    "geometry_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "analytic_sdf_sign": "positive in the material domain; negative inside a void or outside the box",
+    "ellipsoid_sdf_note": "The ellipsoid field has exact sign and zero set; magnitude uses radial surface distance.",
+    "regular_grid_resolution": [
+      32,
+      16,
+      16
+    ],
+    "regular_grid_feature_names": [
+      "x_normalized",
+      "y_normalized",
+      "z_normalized",
+      "is_boundary",
+      "analytic_domain_sdf"
+    ],
+    "regular_grid_boundary_band": "abs(analytic_domain_sdf) <= 0.5 * physical voxel diagonal"
+  },
+  "tno_complex": {
+    "orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
+    "incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
+    "chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
+    "harmonic_basis": "Euclidean combinatorial Hodge bases for geometry-only model setup; weighted FEEC/DEC bases are deferred to PDE generation."
+  },
+  "files": {
+    "msh": "mesh.msh",
+    "vtu": "mesh.vtu",
+    "npz": "mesh.npz"
+  }
+}

TopoBox-3D/protocol_C/train/PC_train_0798_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_train_0798_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 942439304,
+  "geometry": {
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+      {
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+    "measured_min_clearance": 0.1000464353609581
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+  "box": [
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+    1.0
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+  "topology": {
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+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
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+    "n_edges": 12296,
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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_0799_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_train_0799_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "train",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 22721144,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [
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+        "center": [
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.23590203625212905
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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": 1995,
+    "n_edges": 11563,
+    "n_faces": 18072,
+    "n_tetrahedra": 8502,
+    "nonmanifold_faces": 0
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+  "mesh_quality": {
+    "minimum": 0.5662499666213989,
+    "p01": 0.6789370214939118,
+    "mean": 0.8649717569351196,
+    "maximum": 0.999204158782959
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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/validation/PC_validation_0000_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_validation_0000_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
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+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1362297310,
+  "geometry": {
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+        "rotation_angle": 0.0
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+      {
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+        "center": [
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+          0.13180586606240208
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+        "rotation_axis": [
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+          1.0
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+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.1254124291715017
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+  "box": [
+    2.0,
+    1.0,
+    1.0
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+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2158,
+    "n_edges": 12632,
+    "n_faces": 19828,
+    "n_tetrahedra": 9351,
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+    "p01": 0.6702423691749573,
+    "mean": 0.8658707141876221,
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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",
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+    "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/validation/PC_validation_0001_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_validation_0001_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1768400747,
+  "geometry": {
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+    "cavities": [
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+        "center": [
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+          0.28923782724876984
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+        "axes": [
+          0.13768864357180582,
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+          0.13768864357180582
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+        "rotation_axis": [
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+          1.0
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+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.1342360220988899
+  },
+  "box": [
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+    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": 1896,
+    "n_edges": 10867,
+    "n_faces": 16882,
+    "n_tetrahedra": 7909,
+    "nonmanifold_faces": 0
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+    "p01": 0.6693736124038696,
+    "mean": 0.862469494342804,
+    "maximum": 0.9971345067024231
+  },
+  "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/validation/PC_validation_0002_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_validation_0002_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1397500312,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
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+  "box": [
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+    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": {
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+    "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/validation/PC_validation_0003_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_validation_0003_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 94278600,
+  "geometry": {
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+        "rotation_angle": 0.0
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+      {
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+        "center": [
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+          0.5389789212698013,
+          0.33040448882138224
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+          0.13751622297631247,
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.16829152041538256
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+  "box": [
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+    1.0,
+    1.0
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+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2116,
+    "n_edges": 12298,
+    "n_faces": 19245,
+    "n_tetrahedra": 9060,
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+    "p01": 0.6762279748916626,
+    "mean": 0.8649193048477173,
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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/validation/PC_validation_0004_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_validation_0004_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 953745902,
+  "geometry": {
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+    "cavities": [
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+        "center": [
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+          0.4075814110987439,
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.1101761245438615
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+  "box": [
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+    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": 1907,
+    "n_edges": 11003,
+    "n_faces": 17148,
+    "n_tetrahedra": 8050,
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+    "p01": 0.6641013807058335,
+    "mean": 0.8625783920288086,
+    "maximum": 0.9974002242088318
+  },
+  "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/validation/PC_validation_0005_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_validation_0005_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1898824765,
+  "geometry": {
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+    "cavities": [],
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+  "box": [
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+  "topology": {
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+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
+    "n_faces": 13952,
+    "n_tetrahedra": 6503,
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+    "p01": 0.6758164846897126,
+    "mean": 0.8633638620376587,
+    "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/validation/PC_validation_0006_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_validation_0006_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1453869799,
+  "geometry": {
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+    "tunnels": [],
+    "cavities": [
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+        "axes": [
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+      {
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+        "axes": [
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+          0.13228761502340436
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.15399168441617284
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+  "box": [
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+    1.0,
+    1.0
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+  "topology": {
+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2104,
+    "n_edges": 12223,
+    "n_faces": 19111,
+    "n_tetrahedra": 8989,
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+    "p01": 0.6719198226928711,
+    "mean": 0.8653884530067444,
+    "maximum": 0.9987167716026306
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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/validation/PC_validation_0007_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_validation_0007_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1644860675,
+  "geometry": {
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.15178225570758236
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+  "box": [
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+    1.0,
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+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1825,
+    "n_edges": 10465,
+    "n_faces": 16273,
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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/validation/PC_validation_0008_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_validation_0008_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
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+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1831989586,
+  "geometry": {
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+    "cavities": [],
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+    "beta1": 0,
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+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
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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/validation/PC_validation_0009_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_validation_0009_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
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+  "beta1": 0,
+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 447509457,
+  "geometry": {
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+        "rotation_angle": 0.0
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+      {
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+        "rotation_axis": [
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+          1.0
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.11198842370569811
+  },
+  "box": [
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+    1.0,
+    1.0
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+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2136,
+    "n_edges": 12364,
+    "n_faces": 19293,
+    "n_tetrahedra": 9062,
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+    "p01": 0.6560448199510575,
+    "mean": 0.8603852987289429,
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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.",
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+      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/validation/PC_validation_0010_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_validation_0010_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 948387837,
+  "geometry": {
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+    "cavities": [
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+          0.43847047403476436
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+        "rotation_angle": 0.0
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+    ],
+    "measured_min_clearance": 0.16095232370326978
+  },
+  "box": [
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+    1.0,
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+    "beta1": 0,
+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1915,
+    "n_edges": 11065,
+    "n_faces": 17264,
+    "n_tetrahedra": 8112,
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+    "p01": 0.6596412599086762,
+    "mean": 0.8635120391845703,
+    "maximum": 0.999211847782135
+  },
+  "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/validation/PC_validation_0011_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_validation_0011_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
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+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1929550805,
+  "geometry": {
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+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
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+  "box": [
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+  "topology": {
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+    "beta1": 0,
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+    "beta3": 0,
+    "euler_characteristic": 1,
+    "boundary_components": 1,
+    "n_vertices": 1610,
+    "n_edges": 9058,
+    "n_faces": 13952,
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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/validation/PC_validation_0012_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_validation_0012_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
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+  "beta2": 2,
+  "geometry_family": "A",
+  "seed": 1829748506,
+  "geometry": {
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+        "rotation_axis": [
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+    "measured_min_clearance": 0.105293908236755
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+  "box": [
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+    1.0,
+    1.0
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+    "beta0": 1,
+    "beta1": 0,
+    "beta2": 2,
+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
+    "n_vertices": 2061,
+    "n_edges": 11920,
+    "n_faces": 18595,
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+    "mean": 0.8641482591629028,
+    "maximum": 0.9981439113616943
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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/validation/PC_validation_0013_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_validation_0013_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 1,
+  "geometry_family": "A",
+  "seed": 1772881606,
+  "geometry": {
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+    "tunnels": [],
+    "cavities": [
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+  "box": [
+    2.0,
+    1.0,
+    1.0
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+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
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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_C/validation/PC_validation_0014_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_validation_0014_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
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+  "geometry": {
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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
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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/validation/PC_validation_0015_b02/metadata.json

@@ -0,0 +1,118 @@
+{
+  "geometry_id": "PC_validation_0015_b02",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
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+  "beta2": 2,
+  "geometry_family": "A",
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+        "rotation_axis": [
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+        "rotation_angle": 0.0
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+    "measured_min_clearance": 0.1423126474886605
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+    1.0
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+    "beta1": 0,
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+    "beta3": 0,
+    "euler_characteristic": 3,
+    "boundary_components": 3,
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+    "n_faces": 19025,
+    "n_tetrahedra": 8947,
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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,
+      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/validation/PC_validation_0016_b01/metadata.json

@@ -0,0 +1,99 @@
+{
+  "geometry_id": "PC_validation_0016_b01",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
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+  "geometry_family": "A",
+  "seed": 741195052,
+  "geometry": {
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+    "beta2": 1,
+    "beta3": 0,
+    "euler_characteristic": 2,
+    "boundary_components": 2,
+    "n_vertices": 1896,
+    "n_edges": 10906,
+    "n_faces": 16976,
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+  "boundary_encoding": {
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+    "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/validation/PC_validation_0017_b00/metadata.json

@@ -0,0 +1,79 @@
+{
+  "geometry_id": "PC_validation_0017_b00",
+  "protocol": "C",
+  "protocol_name": "beta2_ood",
+  "split": "validation",
+  "is_ood": false,
+  "beta1": 0,
+  "beta2": 0,
+  "geometry_family": "A",
+  "seed": 1179518100,
+  "geometry": {
+    "family": "A",
+    "tunnels": [],
+    "cavities": [],
+    "measured_min_clearance": 1.0
+  },
+  "box": [
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+    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,
+    "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"
+  }
+}