plurigrid Möbius Color Duality
Numerical Möbius inversion applied to color spaces: given observed color distributions (global aggregates), recover the generating seed (local structure).
Module
lib/gay_möbius_inversion.py (490 lines) — not currently found in the repo tree. If it has been moved or renamed, search for ColorMöbiusInverter or TriadicColorInverter.
Key Classes
ColorMöbiusInverter— numerical forward/backward inversion for color spaces. Forward: seed to color indices to structures. Backward: structures to color distributions to recovered seed.TriadicColorInverter— extends inversion to GF(3) ternary color states.
Usage
from lib.gay_möbius_inversion import ColorMöbiusInverter
inverter = ColorMöbiusInverter()
# Forward pass: seed -> color distribution
distribution = inverter.forward(seed)
# Backward pass: distribution -> recovered seed
recovered = inverter.invert(distribution)
Integration
This fills the "Inversion (Duality)" layer of the sparsification spine (was at 1.6% coverage). The system can generate color structures but this module enables the reverse — recovering seeds from observed colorizations.