Dictionary

snub dodecahedron en · NOUN

Etymology

From dodecahedron simum, Kepler's name for this solid in is 1619 work Harmonices Mundi.

Meanings

1. A polyhedron that has 12 pentagonal and 80 triangular faces and is an Archimedean solid.
   • The result is a structure of two nested snub cubes rotated by an angle of 45° against each other (n = 24) and two nested snub dodecahedra, where the rotation angle amounts to 36° (n = 60). 2010, Klaus D. Sattler, editor, Handbook of Nanophysics: Clusters and Fullerenes, pages 51–8:
   • The form can be derived by triangulating the pentagonal faces of the snub dodecahedron (Fig. 19). 1992, Gábor Gévay, “Icosahedral Morphology”, in István Hargittai, editor, Fivefold Symmetry, page 198:
   • The snub dodecahedron has 60 vertices, 150 edges and 92 faces of which 12 are pentagonal and 80 triangular. This polyhedron has I symmetry and can therefore be constructed in left- and right-handed forms. 2006, P. W. Fowler, D. E. Manolopoulos, An Atlas of Fullerenes, page 50:
   • In the case of the latter, two chiral members, the snub cube and the snub dodecahedron, are realized. 2001, Ehud Keinan, Israel Schechter, Chemistry for the 21st Century, page 138:
   • This gives two points, A’, A₁’, which are projections of vertices of the two enantiomorphous snub dodecahedra that can be inscribed in the regular dodecahedron. 1935, L. Lines, Solid Geometry, page 182:

Forms

Deriveds

dextro snub dodecahedron · laevo snub dodecahedron

Synonyms

snub icosidodecahedron (polyhedron with 12 pentagonal and 80 triangular faces)