5cell
English[edit]
Etymology[edit]
Pronunciation[edit]
 IPA^{(key)}: /ˈfaɪvˌsɛl/
Noun[edit]
5cell (plural 5cells)
 (geometry) A fourdimensional polytope, analogous to a tetrahedron, whose five bounding facets are tetrahedra.
 1896, American Journal of Mathematics, page 181,
 In every vertex of the 5cell, 8cell and 120cell there are 4 concurring edges; in every vertex of the 24cell, 8 edges.
 1988, Unnamed translator, L. A. Sidorov, Confuguration, article in Michiel Hazewinkel (editor) Encyclopaedia of Mathematics: An updated and annotated translation of the Soviet ‘Mathematical Encyclopaedia’, Volume 2: C, page 309,
 For example, a 5cell is bounded by five threedimensional tetrahedra, an 8cell by eight cubes, etc., the 5cell and the 24cell being duals of each other (the points correspond to spaces and lines to planes).

2007, Steven R. Lay, Convex Sets and Their Applications^{[1]}, page 230:
 If we call a regular polytope with m facets an mcell, then in E^{4} we have the 5cell with tetrahedral facets (the simplex), the 8cell with cubic facets (the hypercube), the 16cell with tetrahedral facets (the regular crosspolytope), the 24cell with octahedral facets, the 120cell with dodecahedral facets, and the 600cell with tetrahedral facets.

2008, Tony Robbin, Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought^{[2]}, page 16:
 Later in the same document, President Hall listed all of the university's fourdimensional models: four Brill models—the 5cell, 8cell, 16cell, and 24cell—along with seven spun glass models by T. P. Hall that "illustrated rotations."
 1896, American Journal of Mathematics, page 181,
Synonyms[edit]
 (4dimensional polytope analogous to a tetrahedron): 4simplex, pentachoron, pentahedroid, pentatope, tetrahedral pyramid
Translations[edit]
fourdimensional polytope analogous to a tetrahedron

