The dodecahedron has four stellations: the original dodecahedron, small stellated dodecahedron,
great dodecahedron, and great
stellated dodecahedron (Wenninger 1989, pp. 35 and 38-40; Webb). All are
reflexible, and these stellations are identical using either the fully
supported or Miller's rules criterion (Webb).
Bulatov has produced 270 stellations of a deformed dodecahedron.
See also
Dodecahedron,
Icosahedron
Stellations,
Stellation
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References
Bulatov, V. "270 Stellations of Deformed Dodecahedron." http://bulatov.org/polyhedra/dodeca270/.Webb,
R. "Dodecahedron." http://www.software3d.com/Dodecahedron.php.Webb,
R. "Enumeration of Stellations." http://www.software3d.com/Enumerate.php.Wenninger,
M. J. Polyhedron
Models. New York: Cambridge University Press, pp. 35 and 38-40, 1989.Referenced
on Wolfram|Alpha
Dodecahedron Stellations
Cite this as:
Weisstein, Eric W. "Dodecahedron Stellations."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DodecahedronStellations.html
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