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Intersection of Hyperbolic Plane with affine plane $\{t = \cosh r \}$

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#geometry #hyperbolic-geometry
97
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Distance labels in regular hyperbolic tilings

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#hyperbolic-geometry #tiling #coxeter-groups #tessellations #hyperbolic-groups
175
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Non-Euclidean distance in the upper half plane between two complex numbers

Published on
#geometry #hyperbolic-geometry #noneuclidean-geometry
820
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Measuring angles in the Beltrami Klein model of Hyperbolic geometry

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#hyperbolic-geometry
21
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Equation of a line section in polar hyperbolic space

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#hyperbolic-geometry
85
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perpendicular projections in negatively curved manifolds

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#differential-geometry #riemannian-geometry #hyperbolic-geometry #projection
541
Views

Fuchsian group and Poincare polygon theorem

Published on
#hyperbolic-geometry #polygons
141
Views

Where is it possible to have an isometric immersion of $\mathbb{H}^2$?

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#differential-geometry #riemannian-geometry #hyperbolic-geometry #isometry
166
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Adjoint orbits of the Lie algebra $sl(2)$

Published on
#differential-geometry #lie-algebras #hyperbolic-geometry #adjoint-operators #adjoint-functors
300
Views

How could you extend hyperbolic geometry beyond the edge of the Poincare disk?

Published on
#conic-sections #infinity #hyperbolic-geometry
128
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Structure of Euclidean boundary of Dirichlet region having infinite area

Published on
#hyperbolic-geometry
514
Views

What 'model' and 'plane' mean in hyperbolic geometry?

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#geometry #differential-geometry #riemannian-geometry #hyperbolic-geometry
54
Views

Matrix representation for generators of the Fuchsian group of the three-holed sphere.

Published on
#hyperbolic-geometry
97
Views

Hypercycle are not lines

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#hyperbolic-geometry
125
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Equivalence classes of solutions to a matrix equation

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#matrices #group-theory #representation-theory #equivalence-relations #hyperbolic-geometry

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