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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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