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geometry 4d

16-cell from signed axes

Build the 16-cell exactly from signed coordinate axes (cells are the 16 sign vectors), check its cocktail party edge graph and its duality with the tesseract, and write exploded cells, a wireframe glTF or a polytope JSON record.

Recorded render of 16-cell from signed axes

What this component contains

  • ATTRIBUTION.md
  • LICENSE
  • README.md
  • component.json
  • cross_polytope_16cell.py
  • example.gltf
  • fourd.py
  • preview.png
  • test_package.py
  • verification/native.json

How it works

Entry points
vertices, polytope, is_cocktail_party, tesseract_cell_centres, apex_cells, mesh, export, invariants and 2 more
Outputs
example.gltf
Coordinates
x, y, z, w; projected to Godot/glTF +Y up

Recorded checks

godot 4.7.2.stable.official.ed1daf0bf

  • cli_rebuilds_example
  • gltf_structure_example
  • cli_example_runs
  • cli_example_gltf_structure
  • godot_loads_example
  • godot_loads_cli_16cell_tubes
  • preview_render

Limits to consider

The exploded view shrinks each projected cell toward its own projected centroid, a display choice. Flat faces under the stereographic projection approximate curved cell images. The perspective projection refuses an eye inside the rotated 16-cell.