5-cell
/ˈfaɪvˌsɛl/
Word Rarity
Uncommon
Frequency: 4.82 in modern English
6
Scrabble Score
4
Letters
3
Syllables
3
Unique Chars
Meaning
noun
A four-dimensional polytope, analogous to a tetrahedron, whose five bounding facets are tetrahedra.
Example Sentences
- "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."
- "For example, a 5-cell is bounded by five three-dimensional tetrahedra, an 8-cell by eight cubes, etc., the 5-cell and the 24-cell being duals of each other (the points correspond to spaces and lines to planes)."
- "If we call a regular polytope with m facets an m-cell, then in E⁴ we have the 5-cell with tetrahedral facets (the simplex), the 8-cell with cubic facets (the hypercube), the 16-cell with tetrahedral facets (the regular cross-polytope), the 24-cell with octahedral facets, the 120-cell with dodecahedral facets, and the 600-cell with tetrahedral facets."
- "Later in the same document, President Hall listed all of the university's four-dimensional models: four Brill models—the 5-cell, 8-cell, 16-cell, and 24-cell—along with seven spun glass models by T. P. Hall that "illustrated rotations.""
Etymology
From 5 + cell.