TOPICS
Search

Hyperbolic Polyhedron


A polyhedron in a hyperbolic geometry.


See also

Hyperbolic Cube, Hyperbolic Dodecahedron, Hyperbolic Icosahedron, Hyperbolic Octahedron, Hyperbolic Tetrahedron

Explore with Wolfram|Alpha

References

Hodgson, C. D. and Riven, I. "A Characterization of Compact Convex Polyhedra in Hyperbolic 3-Space." Invent. Math. 111, 77-111, 1993.Kellerhals, R. "Shape and Size Through Hyperbolic Eyes." Math. Intell. 17, 21-30, 1995.Kellerhals, R. "Nichteuklidische Geometrie und Volumina hyperbolischer Polyeder." Math. Semesterber. 43, 155-168, 1996.Ratcliffe, J. G. Foundations of Hyperbolic Manifolds. New York: Springer-Verlag, 1994.Rivin, I. "A Characterization of Ideal Polyhedra in Hyperbolic 3-Space." Ann. Math. 143, 51-70, 1996.Thurston, W. P. and Levy, S. (Eds.). Three-Dimensional Geometry and Topology, Vol. 1. Princeton, NJ: Princeton University Press, 1997.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/.

Referenced on Wolfram|Alpha

Hyperbolic Polyhedron

Cite this as:

Weisstein, Eric W. "Hyperbolic Polyhedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HyperbolicPolyhedron.html

Subject classifications