8cell
English
editEtymology
editPronunciation
edit IPA^{(key)}: /ˈeɪtˌsɛl/
Noun
edit (geometry) A fourdimensional polytope, analogous to a cube, whose eight bounding facets are cubes; a tesseract.
 1988, Klaus Mainzer, Symmetries of Nature: A Handbook for Philosophy of Nature and Science, published 1996, page 159:
 According to this table the tetrahedron corresponds to the 5cell, the cube to the 8cell ("hypercube"), the octahedron to the 16cell, the dodecahedron to the 120cell and the icosahedron to the 600cell. The 24cell is an additional body in fourdimensional space which is dual to itself.
 1996, John Milnor, “Growing Up in the Old Fine Hall”, in Hugo Rossi, editor, Prospects in Mathematics: Invited Talks on the Occasion of the 250th Anniversary of Princeton University, page 6:
 Similarly in dimension eight there is the quaternionic projective plane which we can think of as a 4sphere with an 8cell attached, and in dimension sixteen there is a Cayley projective plane which has similar properties.
 1997, J. François Gabriel, editor, Beyond the Cube: The Architecture of Space Frames and Polyhedra^{[1]}, page 412:
 Of these nine, five are finite structures in Euclidean space and include the simplex, {3,3,3} (or 5cell), the fourdimensional cube {4,3,3} (or 8cell) and its dual {3,3,4} (or 16cell), and the 120cell {5,3,3} and its dual {3,3,5} (or 600cell).
Synonyms
edit (4dimensional polytope analogous to a cube): 4cube, hypercube (or 4dimensional hypercube), cubic prism, octachoron, octahedroid, tesseract
Hypernyms
edit (polytope analogous to a cube): hypercube
Translations
editfourdimensional polytope
