TOPICS
Search

Small Triakis Octahedron Stellations


U14DualU17DualU21Dual

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 U_(14), the Archimedean great rhombicuboctahedron A_3=U_(17), and great rhombihexahedron U_(21) are all the Archimedean truncated cube A_9, 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

Explore with Wolfram|Alpha

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