A hyperbolic version of the Euclidean dodecahedron.
Hyperbolic three-space can be tessellated with hyperbolic dodecahedra whose intermediate dihedral angles are 60, 72, or .
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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References
Rivin, I. "Hyperbolic Polyhedra Graphics."
http://library.wolfram.com/infocenter/Demos/4558/.Trott,
M. "The Cover Image: Hyperbolic Platonic Bodies." §8.3.10 in The
Mathematica GuideBook for Graphics. New York: Springer-Verlag, 2004. http://www.mathematicaguidebooks.org/.Weber,
M. "Cover Art." Not. Amer. Math. Soc. 47, 340, 2000.Weeks,
J. "Curved Spaces." http://www.geometrygames.org/CurvedSpaces/.Referenced
on Wolfram|Alpha
Hyperbolic Dodecahedron
Cite this as:
Weisstein, Eric W. "Hyperbolic Dodecahedron."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HyperbolicDodecahedron.html
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