Cartesian Coordinates
The 600 vertices of the 120-cell include all permutations of:
- (0, 0, ±2, ±2)
- (±1, ±1, ±1, ±√5)
- (±φ-2, ±φ, ±φ, ±φ)
- (±φ-1, ±φ-1, ±φ-1, ±φ2)
and all even permutations of
- (0, ±φ-2, ±1, ±φ2)
- (0, ±φ-1, ±φ, ±√5)
- (±φ-1, ±1, ±φ, ±2)
where φ (also called τ) is the golden ratio, (1+√5)/2.
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