What does "5-cell" mean?

A four-dimensional polytope, analogous to a tetrahedron, whose five bounding facets are tetrahedra.

What is a synonym for "5-cell"?

Common synonyms include: 4-simplex, pentachoron, pentahedroid, pentatope, tetrahedral pyramid.

//ˈfaɪvˌsɛl// noun

noun ·Rare ·Advanced level

Noun

1
A four-dimensional polytope, analogous to a tetrahedron, whose five bounding facets are tetrahedra.
"In every vertex of the 5-cell, 8-cell and 120-cell there are 4 concurring edges; in every vertex of the 24-cell, 8 edges."

"In every vertex of the 5-cell, 8-cell and 120-cell there are 4 concurring edges; in every vertex of the 24-cell, 8 edges."

From 5 + cell.

Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.