Simple app for generating and rendering all orbits (i.e. colorings modulo rotations) of cube vertices using the known 24 octahedron rotational symmetries.
POV-Ray must be installed and accessible via PATH.
No 3rd party Python dependencies.
Tested on Python 3.11
python app.py number_of_colors
Between 1 and 4 colors are supported. Can extend that number by adding more colors to COLOR_MAP in rendering.py.
All 23 (per Burnside's lemma) distinct 2-color colorings of cube vertices:
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