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snub cube ：ウィキペディア英語版

snub cube

In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles. It has 60 edges and 24 vertices.
It is a chiral polyhedron, that is, it has two distinct forms, which are mirror images (or "enantiomorphs") of each other. The union of both forms is a compound of two snub cubes, and the convex hull of both sets of vertices is a truncated cuboctahedron.
Kepler first named it in Latin as cubus simus in 1619 in his Harmonices Mundi. H. S. M. Coxeter, noting it could be derived equally from the octahedron as the cube, called it snub cuboctahedron, with a vertical extended Schläfli symbol

s\begin 4 \\ 3 \end

.
==Dimensions==
For a snub cube with edge length 1, its surface area is

\scriptstyle} \approx 7.88929467771

, where ''t'' is the tribonacci constant

\tfrac\scriptstyle}\right) \approx 1.83929}

.
If the original snub cube has edge length 1, its dual pentagonal icositetrahedron has side lengths

\tfrac

and

\tfrac\scriptstyle

.

抄文引用元・出典: フリー百科事典『ウィキペディア（Wikipedia）』
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