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hexadeca-(sixteen) +‎ -choron(room), from Ancient Greek ἕξ(héks, six), δέκα(déka, ten) and χώρος(khṓros, room).


hexadecachoron (plural hexadecachorons or hexadecachora)

  1. (mathematics) A four-dimensional object equivalent to an octahedron, constructed out of sixteen tetrahedra.
    • 2005, V H Satheesh Kumar and P K Suresh, Are We Living in a Higher Dimensional Universe?, 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 and C. C. Dyer, Aspects of Causality in Parallelisable Implicit Evolution Scheme, 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 and Ikuro Sato, The element number of the convex regular polytopes, 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.