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Hyperbolic geometry
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In mathematics, hyperbolic geometry is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with:For any given line R and point P not on R, in the plane containing both line R and point P there are at least two distinct lines through P that do not intersect R.
A collection of crocheted hyperbolic planes, in imitation of a coral reef, by the Institute For Figuring
A collection of crocheted hyperbolic planes, in imitation of a coral reef, by the Institute For Figuring
The "hyperbolic soccerball" is a paper model which approximates (part of) the hyperbolic plane as a truncated icosahedron approximates the sphere.
The "hyperbolic soccerball" is a paper model which approximates (part of) the hyperbolic plane as a truncated icosahedron approximates the sphere.
Nikolai Lobachevsky
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Nikolai Ivanovich Lobachevsky was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula.
Portrait by Lev Kryukov [ru], c. 1839
Stamp of 1956 marking the centenary of Lobachevsky's death
Stamp of 1956 marking the centenary of Lobachevsky's death