truncated dodecahedron

English

A truncated dodecahedron

Etymology

From truncated + dodecahedron, referring to a construction method for the figure.

Noun

truncated dodecahedron (plural truncated dodecahedra or truncated dodecahedrons)

1. (geometry) An Archimedean solid with thirty-two regular faces (twelve decagons and twenty triangles) and ninety edges.
   • 1813, Spinell, entry in John Mason Good, Olinthus Gregory, Newton Bosworth (editors), Pantologia: A New Cyclopaedia, Volume XI: SPA — TZE, unnumbered page,

     This, which may be regarded as a brown garnet or schoerl in truncated dodecahedrons of Rome de Lisle, was originally found in the island of Ceylon, among tourmalines and other crystalline substances, with which it was confounded.

   • 1983, Electron Microscopy Society of America, Proceedings: 41st Annual Meeting‎^[1], page 232:

     The morphologies commonly observed in bcc materials include truncated dodecahedrons with {110} faces and {100} truncations and cubes with {100} faces.

   • 1990, David S. Gelles, “Neutron Irradiation Damage in Ferritic Fe-Cr Alloys”, in Nicholas H. Packan, R. E. Stoller, A. S. Kumar, editors, Effects of Radiation on Materials: 14th International Symposium, Volume 1, page 90:

     Void shapes were found to be generally truncated dodecahedra with {011} faces and {001} truncations.

   • 1996, T. A. Fournelle, K. W. Weston, Generalizations of Steinberg Groups, World Scientific Publishing, Series in Algebra, Volume 4, page 176,

     The edges of the linkages lie on the edges of a truncated dodecahedron. Note that the group of orientation preserving symmetries of a truncated dodecahedron is precisely A₅.

Translations

polyhedron with 12 decagonal faces, 20 triangular faces and 90 edges

• Italian: dodecaedro troncato m

Further reading

• Truncated Dodecahedron on Wolfram MathWorld