PANSOPHIA geometry kernel

A from-scratch signed-distance-field geometry kernel cross-checked against Gmsh and a PicoGK-compatible engine, with the GeoStudio GUI

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datasheet // geometry-kernel

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studio: /intersect?preset=0
topics: kernel crosscheck ×45

geostudio features ×13

geostudio profiles and patterns ×10

geostudio transforms ×13

geostudio booleans ×8

geostudio primitives ×13

feature checks ×7

Cross-engine test script: scripts/test_geometry_pipeline.py; catalogue in geometry/test_geometries.md (16 shapes; 14 run on PicoGK-compatible, 15 on Gmsh, 16 on SDF).
figures/geometry_test/report.txt: 45 of 45 test entries report valid and watertight (box, cylinder, tube, L-channel, box minus cylinder, vessel tube, cone, torus, wedge, pyramid, extruded L-profile, revolved nozzle, translated/rotated assembly, STL re-import, plus STEP re-import on Gmsh; SDF sphere and smooth blend). Revolved nozzle volume 5.4633e-05 m3 on all three engines.
Kernel code: python/cfdpy/geometry (sdf_kernel.py, backends.py, features.py, ffd.py, taper.py, …); C#/.NET SDF service in geometry_service (Primitives.cs, MarchingCubes.cs, StlWriter.cs, Program.cs).
GeoStudio op registry (geopy.tree.OPS in the S9 study): 38 ops; scripts/verify_geostudio_gui.py drives the real Qt GUI and screenshots one node per op (38 sandbox + 29 toolbar screenshots).