pentakaidecahedron

English

Etymology

From Ancient Greek πέντε (pénte, “five”) + καί (kaí, “and”) + δέκᾰ (dékă, “ten”) + -hedron.

Noun

pentakaidecahedron (plural pentakaidecahedra or pentakaidecahedrons)

1. Synonym of pentadecahedron
   • 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).

   • 1963, Lee Leiserson, William H. McCoy, “Branch of Inorganic Chemistry”, in Saline Water Conversion Report for 1963, Washington, D.C.: United States Department of the Interior, page 4, column 1:

     The host structure is similar to that of the (n–C₄H₉)₄ N⁺C₆H₅COOH^-·39.5 H₂O consisting of a tetragonal body-centered arrangement of groups of five face-sharing pentagonal dodecahedra interlinked by tetrakaidecahedra and pentakaidecahedra.

   • 2003, Japanese Journal of Applied Physics, page 130, column 2:

     An ideal unit cell consists of ten dodecahedrons, sixteen tetrakaidecahedrons and four pentakaidecahedrons.

Related terms

• pentakaidecahedral