hexadecachoron

English

Etymology

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

Pronunciation

• Audio (US):

  (file)

Noun

hexadecachoron (plural hexadecachorons or hexadecachora)

1. (mathematics) A four-dimensional object analogous to an octahedron, constructed out of sixteen tetrahedra.
   • 2005, V H Satheesh Kumar, P K Suresh, Are We Living in a Higher Dimensional Universe?‎^[1], page 3:

     In a world with four spatial dimensions, for example, we can construct only six regular solids, viz pentatope, tesseract, hexadecachoron, icositetrachoron, hecatonicosachoron and hexacosichoron.

   • 2009, P. Khavari, C. C. Dyer, Aspects of Causality in Parallelisable Implicit Evolution Scheme‎^[2], page 7:

     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.

   • 2011, Jin Akiyama, Ikuro Sato, The element number of the convex regular polytopes‎^[3], page 271:

     In four dimensions, surprisingly, there are three space-filling convex regular polychora: the tesseract (the hypercube in ℝ⁴), the hexadecachoron, and the icositetrachoron.

Synonyms

• 16-cell

Translations

four-dimensional object

• Esperanto: deksesĉelo
• Italian: ipertetraedro m, esadecacoro m
• Japanese: 正十六胞体 (せいじゅうろくほうたい, seijūrokuhōtai)