R. Whorf found that there are probably several thousand stellations of the small triakis octahedron (Wenninger 1983, p. 36). In particular, the convex
hulls of the great cubicuboctahedron ,
the Archimedean great rhombicuboctahedron ,
and great rhombihexahedron are all the Archimedean truncated
cube , whose dual is the small
triakis octahedron, so the duals of these solids (i.e., the great
hexacronic icositetrahedron, great
deltoidal icositetrahedron, and great rhombihexahedron)
are all stellations of the small triakis octahedron (Wenninger 1983, p. 57).
See also
Archimedean Dual Stellations,
Fully Supported Stellation,
Miller's
Rules,
Small Triakis Octahedron,
Stellation
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References
Webb, R. "Enumeration of Stellations." http://www.software3d.com/Enumerate.php.Wenninger, M. J. Dual
Models. Cambridge, England: Cambridge University Press, pp. 36, 38,
and 57-58, 1983.Referenced on Wolfram|Alpha
Small Triakis Octahedron
Stellations
Cite this as:
Weisstein, Eric W. "Small Triakis Octahedron Stellations." From MathWorld--A Wolfram Web Resource.
https://mathworld.wolfram.com/SmallTriakisOctahedronStellations.html
Subject classifications