nonacoptic

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English[edit]

The small stellated dodecahedron is a nonacoptic polyhedron.

Etymology[edit]

non- +‎ acoptic, introduced by the mathematician Branko Grünbaum to clarify terminology in the geometry of polygons and polyhedra. Initially he used the term coptic, but abandoned it in favor of nonacoptic in later writings.

Adjective[edit]

nonacoptic (not comparable)

  1. (geometry, uncommon) Self-intersecting.
    • 1999, Grünbaum, Branko, "Acoptic polyhedra", Advances in discrete and computational geometry (South Hadley, MA, 1996) (PDF), Contemp. Math., 223, Amer. Math. Soc., Providence, RI, pp. 163–199, doi:10.1090/conm/223/03137, MR 1661382.
      See Norgate [N2], where nonacoptic pentahedra are investigated as well.

Antonyms[edit]