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).
Small Triakis Octahedron Stellations
See also
Archimedean Dual Stellations, Fully Supported Stellation, Miller's Rules, Small Triakis Octahedron, StellationExplore 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 StellationsCite this as:
Weisstein, Eric W. "Small Triakis Octahedron Stellations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SmallTriakisOctahedronStellations.html