Examples of 'hyperbolic space' in a sentence

Meaning of "hyperbolic space"

hyperbolic space: In mathematics, a hyperbolic space is a type of non-Euclidean geometry with different properties than traditional Euclidean space
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  • Any space exhibiting hyperbolic geometry rather than Euclidean geometry

How to use "hyperbolic space" in a sentence

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hyperbolic space
Infinite forms can be extended to tessellate a hyperbolic space.
This is a kind tessellation of hyperbolic space which we are going to try to understand.
This group is said to characterize the hyperbolic space.
Hyperbolic space is the principal example of a space exhibiting hyperbolic geometry.
He also studied monopoles on hyperbolic space.
Thus the notion of an hyperbolic space is independent of the chosen definition.
Flexible octahedra in the hyperbolic space.
It is similar to hyperbolic space except that it also contains a time direction.
Orbits of vertices in hyperbolic space.
Hyperbolic space is like normal space at a small scale, but parallel lines diverge at a distance.
Elementary geometry in hyperbolic space.
A mirror represents a hyperplane within a given dimensional spherical or Euclidean or hyperbolic space.
Cox went on to develop an algebra for hyperbolic space analogous to Clifford's biquaternions.
Set of points equidistant from two points in hyperbolic space.
Degenerations of the hyperbolic space.

See also

Animation of an ideal icosahedron in the Klein model of hyperbolic space.
In particular, the asymptotic cone of any hyperbolic space is a real tree.
In geometry, hyperbolic motions are isometric automorphisms of a hyperbolic space.
Regular Honeycombs in hyperbolic space.
Polytopes also began to be studied in non-Euclidean spaces such as hyperbolic space.
These distortions in the projection arise because hyperbolic space can not lie flat.
In this work we approach the london theory of a superconductor in the lobachevsky 's hyperbolic space.
There are no regular compact or paracompact tessellations of hyperbolic space of dimension 6 or higher.
Finally, the project derived a systematic framework that maps a network to a hyperbolic space.
Which is where I first learned about hyperbolic space.
Our study was based on the hanna sandler article . distance formulas in complex hyperbolic space.
In other words, the universe is still in Hyperbolic space.
A negative angle defect can not exist in ordinary space, but can be constructed in hyperbolic space.
When q 0, this construction gives a standard hyperbolic space.
The family starts as 1-polytopes and ends with n 5 as infinite tessellations of 4-dimensional hyperbolic space.
It is the Lorentzian analogue of n-dimensional hyperbolic space.
Danny Calegari calls these convex cocompact Coxeter groups in n-dimensional hyperbolic space.
Chapter 10, Regular honeycombs in hyperbolic space.

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Examples of using Space
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