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Great Dodecahedron

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The Uniform Polyhedron $U_{35}$ which is the Dual of the Small Stellated Dodecahedron and one of the Kepler-Poinsot Solids. Its faces are $12\{5\}$. Its Schläfli Symbol is $\{5, {\textstyle{5\over 2}}\}$, and its Wythoff Symbol is ${\textstyle{5\over 2}}\,\vert\,2\,5$. Its faces are $12\{5\}$. Its Circumradius for unit edge length is

R={\textstyle{1\over 2}}5^{1/4} \phi^{1/2} a={\textstyle{1\over 4}}5^{1/4}\sqrt{2(1+\sqrt{5})}\,,

where $\phi$ is the Golden Ratio.

See also Great Icosahedron, Great Stellated Dodecahedron, Kepler-Poinsot Solid, Small Stellated Dodecahedron


Fischer, G. (Ed.). Plate 105 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, p. 104, 1986.

© 1996-9 Eric W. Weisstein