simple → double → isoclinic → free — the real stages of a 4D rotation
Same internals — the tesseract, its six-axis rotor, the 8,8 dot at the fixed center. But now it starts locked into a single plane: a simple rotation, turning in one plane while its opposite plane sits perfectly still. Step the mode up to unlock more. 6·6·6·6.
Simple1 plane · locked
Double2 ⊥ planes
Isoclinicpair · equal rate
Freeall six
The rotor
6 axis-rods · 8,8 dot at the fixed point · locked plane drives the cube
4D depth
6 · 6 · 6 · 6
6 · 6 · 6 · 6
The six axes
simple mode — click an axis to lock onto its plane
spin
Lock it into a plane — what that means
A simple rotation in 4D turns in one plane and leaves the completely-orthogonal plane fixed, point for point — shown here as the dim "fixed" ghost face. That's the cleanest 4D motion, and where to start.
Unlock in stages: Double spins a pair of orthogonal planes at their own rates; Isoclinic spins that pair at the same rate (the special "even" turn); Free opens all six. Each is a real, named kind of 4D rotation.
6·6·6·6 — the motif & the real numbers
The honest anchors: 4 dimensions (x, y, z, w) and 6 rotation planes. Nice real coincidences too — each of the 8 cells is a six-faced cube, and the planes split into three orthogonal pairs.
The specific four sixes is your motif laid over that structure — a label, like 6·0·6 before it. The geometry is real; the numerology is yours.
Honest footing. Simple, double, and isoclinic rotations — and the fact that a simple rotation fixes the orthogonal plane — are real, standard facts about rotation in four dimensions. The six-axis "gyroscope" remains a math rotor (real gyros are 3D), the dot marks the true fixed point and carries no physics, and 6·6·6·6 is your four-fold label over the genuine 4-dimensions / 6-planes structure.