Hyperbolic triangle

A hyperbolic triangle embedded in a saddle-shaped surface

In hyperbolic geometry, a hyperbolic triangle is a triangle in the hyperbolic plane. It consists of three line segments called sides or edges and three points called angles or vertices.

Just as in the Euclidean case, three points of a hyperbolic space of an arbitrary dimension always lie on the same plane. Hence planar hyperbolic triangles also describe triangles possible in any higher dimension of hyperbolic spaces.

An order-7 triangular tiling has equilateral triangles with 2π/7 radian internal angles.

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