snub dodecahedron

English

A snub dodecahedron

Etymology

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

Noun

snub dodecahedron (plural snub dodecahedra or snub dodecahedrons)

1. (geometry) A polyhedron that has 12 pentagonal and 80 triangular faces and is an Archimedean solid.
   • 1935, L. Lines, Solid Geometry, page 182:

     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.

   • 1992, Gábor Gévay, “Icosahedral Morphology”, in István Hargittai, editor, Fivefold Symmetry, page 198:

     The form can be derived by triangulating the pentagonal faces of the snub dodecahedron (Fig. 19).

   • 2001, Ehud Keinan, Israel Schechter, Chemistry for the 21st Century, page 138:

     In the case of the latter, two chiral members, the snub cube and the snub dodecahedron, are realized.

   • 2006, P. W. Fowler, D. E. Manolopoulos, An Atlas of Fullerenes, page 50:

     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.

   • 2010, Klaus D. Sattler, editor, Handbook of Nanophysics: Clusters and Fullerenes, pages 51–8:

     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).

Synonyms

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

Derived terms

• dextro snub dodecahedron
• laevo snub dodecahedron

See also

• Compound of two snub dodecahedra on Wikipedia.Wikipedia

Further reading

• snub dodecahedron on Wolfram MathWorld