Hyperbolic Dodecahedron


A hyperbolic version of the Euclidean dodecahedron.

Hyperbolic three-space can be tessellated with hyperbolic dodecahedra whose intermediate dihedral angles are 60, 72, or 90 degrees.

A decorated hyperbolic dodecahedron has been used as the logo for Mathematica since Version 2.

See also

Hyperbolic Cube, Hyperbolic Icosahedron, Hyperbolic Octahedron, Hyperbolic Tetrahedron, Spikey

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Rivin, I. "Hyperbolic Polyhedra Graphics.", M. "The Cover Image: Hyperbolic Platonic Bodies." §8.3.10 in The Mathematica GuideBook for Graphics. New York: Springer-Verlag, 2004., M. "Cover Art." Not. Amer. Math. Soc. 47, 340, 2000.Weeks, J. "Curved Spaces."

Referenced on Wolfram|Alpha

Hyperbolic Dodecahedron

Cite this as:

Weisstein, Eric W. "Hyperbolic Dodecahedron." From MathWorld--A Wolfram Web Resource.

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