hexadecachoron

plural hexadecachorons · plural hexadecachora

1. mathematicsA four-dimensional object analogous to an octahedron, constructed out of sixteen tetrahedra.

   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

   2 more examples

   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

   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

   Synonyms: 16-cell