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==Other rectangles== [[File:Saddle rectangle example.png|thumb|A '''saddle rectangle''' has 4 nonplanar vertices, [[Alternation (geometry)|alternated]] from vertices of a [[rectangular cuboid]], with a unique [[minimal surface]] interior defined as a linear combination of the four vertices, creating a saddle surface. This example shows 4 blue edges of the rectangle, and two [[green]] diagonals, all being diagonal of the cuboid rectangular faces.]] In [[spherical geometry]], a '''spherical rectangle''' is a figure whose four edges are [[great circle]] arcs which meet at equal angles greater than 90Β°. Opposite arcs are equal in length. The surface of a sphere in Euclidean solid geometry is a non-Euclidean surface in the sense of elliptic geometry. Spherical geometry is the simplest form of elliptic geometry. In [[elliptic geometry]], an '''elliptic rectangle''' is a figure in the elliptic plane whose four edges are elliptic arcs which meet at equal angles greater than 90Β°. Opposite arcs are equal in length. In [[hyperbolic geometry]], a '''hyperbolic rectangle''' is a figure in the hyperbolic plane whose four edges are hyperbolic arcs which meet at equal angles less than 90Β°. Opposite arcs are equal in length.
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