Hyperbolic space

A perspective projection of a dodecahedral tessellation in H3.Four dodecahedra meet at each edge, and eight meet at each vertex, like the cubes of a cubic tessellation in E3

In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature. It is hyperbolic geometry in more than 2 dimensions, and is distinguished from Euclidean spaces with zero curvature that define the Euclidean geometry, and elliptic geometry that have a constant positive curvature.

单词	Hyperbolic space
释义	Hyperbolic space 英语百科 Hyperbolic space In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature. It is hyperbolic geometry in more than 2 dimensions, and is distinguished from Euclidean spaces with zero curvature that define the Euclidean geometry, and elliptic geometry that have a constant positive curvature.
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