Meaning of 120-cell | Babel Free

Definitions

A four-dimensional polytope, analogous to a dodecahedron, whose 120 bounding facets are dodecahedra.

Equivalents

Examples

“The triacontagonal projection of the 120-cell was first drawn by W. A. Wythoff, but not in reproducible form.”

“In dimension four there are ten star polytopes which together with the 120-cell and 600-cell form the family of pentagonal polytopes (those regular 4-polytopes possessing axes of fivefold symmetry); all twelve have the same symmetry group.”

“In 1985, M. Davis [3] gave the first explicit geometric construction of a closed hyperbolic 4-manifold by gluing together the opposite sides of a regular hyperbolic 120-cell P with dihedral angle 72°.”

CEFR level