heptakaidecahedron

English

Etymology

From Ancient Greek ἑπτᾰ́ (heptá, “seven”) + καί (kaí, “and”) + δέκᾰ (déka, “ten”) + -hedron.

Noun

heptakaidecahedron (plural heptakaidecahedra)

1. Synonym of heptadecahedron
   • 1935, R[oger] P[hilip] Wodehouse, “Angiospermae”, in Pollen Grains: Their structure, identification and significance in science and medicine, New York, N.Y., London: McGraw-Hill Book Company, Inc., part II (Classification), section “Dicotyledons”, subsection “Compositae”, subsubsection “Cichorieae”, page 481:

     The lacunar pattern of this grain therefore includes six tetragonal and nine hexagonal faces. Relating this to polyhedrons, we find that no pentakaidecahedron with such a combination of faces can exist (see page 199). If, however, the two polar areas be regarded as filled-in hexagonal lacunae, making 17 lacunae in all, the pattern corresponds to a heptakaidecahedron with 6 tetragonal and 11 hexagonal faces, which appears to be the proper interpretation of this pattern.

   • c. 1967, Structure Reports, International Union of Crystallography, page 290:

     The host lattice consists of 156 water molecules per unit cell, which form 16 identical heptakaidecahedra (17-hedra) and 12 identical octahedra (8-hedra) in a face sharing arrangement with cubic symmetry.

   • 1976, Peter Schuster, Georg Zundel, Camille Sandorfy, The Hydrogen Bond: Recent Developments in Theory and Experiments, volumes III (Dynamics, Thermodynamics and Special Systems), North-Holland Publishing Company, →ISBN, page 1416:

     Other clathrates are the Br₂ hydrate with a pentakaidecahedral cage of water molecules or the tert-butylamine hydrate with a heptakaidecahedron cage of water molecules.