What is being constructed?
A declared spinorial extension, not a smaller solid electron. The tetrahedron indexes four face projections of one two-component state. Both logical spin states survive. No electric-charge, mass or exchange rule is generated here.
The 144-transfer realization uses L = diag(Pᵢ), G = N, and return N. Equal matrices at distinct typed stages are separate records. Matrix entries, not the drawn guide lines, determine that count.
Derivation and exact checks