snub dodecahedronとは 意味・読み方・使い方

語源

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

名詞

snub dodecahedron (複数形 snub dodecahedra または 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, 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).

同意語

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

派生語

• dextro snub dodecahedron
• laevo snub dodecahedron

参考

• Compound of two snub dodecahedra on Wikipedia.

Further reading

• snub dodecahedron on Wolfram MathWorld