snub dodecahedron
English
![](Images/wiktionary/Snubdodecahedronccw.jpg.webp)
A snub dodecahedron
Noun
snub dodecahedron (plural snub dodecahedra or snub dodecahedrons)
- (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, 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, page 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).
- 1935, L. Lines, Solid Geometry, page 182,
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