Dictionary

hexadecachoron en · NOUN

Pronunciation

• (US) audio

Etymology

From hexadeca- (“sixteen”) + -choron (“room”), from Ancient Greek ἕξ (héx, “six”), δέκα (déka, “ten”) and χῶρος (khôros, “room”).

Meanings

1. A four-dimensional object analogous to an octahedron, constructed out of sixteen tetrahedra.
   • We have chosen the surfaces of a pentatope (5-cell) as well as a hexadecachoron (16-cell), which are simple standard triangulations of a 3-sphere, shown in figure (7), as our underlying lattices. 2009, P. Khavari, C. C. Dyer, Aspects of Causality in Parallelisable Implicit Evolution Scheme, page 7:
   • In a world with four spatial dimensions, for example, we can construct only six regular solids, viz pentatope, tesseract, hexadecachoron, icositetrachoron, hecatonicosachoron and hexacosichoron. 2005, V H Satheesh Kumar, P K Suresh, Are We Living in a Higher Dimensional Universe?, page 3:
   • In four dimensions, surprisingly, there are three space-filling convex regular polychora: the tesseract (the hypercube in ℝ⁴), the hexadecachoron, and the icositetrachoron. 2011, Jin Akiyama, Ikuro Sato, The element number of the convex regular polytopes, page 271:

Forms

Synonyms

16-cell

Translations (6)

it ipertetraedro (four-dimensional object) · fi 16-solu (four-dimensional object) · eo deksesĉelo (four-dimensional object) · it esadecacoro (four-dimensional object) · ja 正十六胞体 (four-dimensional object) · pl szesnastościan czterowymiarowy (four-dimensional object)