“Snub Cube”的概念、定义、习题解题方法及翻译-数学辞典

单词

Snub Cube

释义

Snub Cube

An Archimedean Solid also called the Snub Cuboctahedron whose Vertices are the 24points on the surface of a Sphere for which the smallest distance between any two is as great as possible. It has twoEnantiomers, and its Dual Polyhedron is the Pentagonal Icositetrahedron. It hasSchläfli Symbol s. It is also Uniform Polyhedron andhas Wythoff Symbol . Its faces are .

The Inradius, Midradius, and Circumradius for are

where

and the exact expressions for

and

can be computed using

See also Snub Dodecahedron

References

Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p. 139, 1987.

Coxeter, H. S. M.; Longuet-Higgins, M. S.; and Miller, J. C. P. ``Uniform Polyhedra.'' Phil. Trans. Roy. Soc. London Ser. A 246, 401-450, 1954.

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