8-cell en · NOUN
Pronunciation
- /ˈeɪtˌsɛl/
Etymology
From 8 + cell.
Meanings
-
A four-dimensional polytope, analogous to a cube, whose eight bounding facets are cubes; a tesseract.
Similarly in dimension eight there is the quaternionic projective plane which we can think of as a 4-sphere with an 8-cell attached, and in dimension sixteen there is a Cayley projective plane which has similar properties.
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:Of these nine, five are finite structures in Euclidean space and include the simplex, {3,3,3} (or 5-cell), the four-dimensional cube {4,3,3} (or 8-cell) and its dual {3,3,4} (or 16-cell), and the 120-cell {5,3,3} and its dual {3,3,5} (or 600-cell).
1997, J. François Gabriel, editor, Beyond the Cube: The Architecture of Space Frames and Polyhedra, page 412:According to this table the tetrahedron corresponds to the 5-cell, the cube to the 8-cell ("hypercube"), the octahedron to the 16-cell, the dodecahedron to the 120-cell and the icosahedron to the 600-cell. The 24-cell is an additional body in four-dimensional space which is dual to itself.
1988, Klaus Mainzer, Symmetries of Nature: A Handbook for Philosophy of Nature and Science, published 1996, page 159:
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| 8-cells | Number=Plur | lexicographic |
Hypernyms
hypercube (polytope analogous to a cube)
Synonyms
tesseract (4-dimensional polytope analogous to a cube) · octachoron (4-dimensional polytope analogous to a cube) · hypercube (4-dimensional polytope analogous to a cube) · octahedroid (4-dimensional polytope analogous to a cube) · cubic prism (4-dimensional polytope analogous to a cube) · 4-cube (4-dimensional polytope analogous to a cube)
Translations (7)
it tesseratto (four-dimensional polytope) · ko 정팔포체 (four-dimensional polytope) · ja 正八胞体 (four-dimensional polytope) · pl tesserakt (four-dimensional polytope) · eo okĉelo (four-dimensional polytope) · it ipercubo quadridimensionale (four-dimensional polytope) · it ipertetraedro (four-dimensional polytope)