THE CUBE
E47 GEOMETRIC COMPUTATION
An animated instrument for geometric computation

THE
CUBE

A Professor’s Cube becomes a teaching machine: permutations, symmetry, spectral selection, invariant subspaces, molecular Morse structure, hyperbolic recursion and four-dimensional projection meet on one visible 125-state carrier.

5×5×5 = 125E47 = 47Ωc = 47/125S3 bridgeHBr Morse4D tesseract
125
ambient carrier
47
E47 kernel
11664
K² gap
15/17
ρ*
82/1895
HBr local ratio
16 → 32
tesseract V → E
01 · Constructive solver

Scramble a 5×5×5 carrier. Then walk it home.

The solver records a legal word in the 15 certified quarter-turn generators and returns its exact inverse. That is a constructive group-theoretic solution, not an optimal move search.
12
word = identity
0
moves
0
displaced sites
0.000
geometric displacement
SOLVED
state
Fifteen generators