Smarandache Paradoxist Geometry
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|Uniting Euclidean, Lobachevsky-Bolyai-Gauss, and Riemannian geometries. Smarandache geometries are partially Euclidean and partially Non-Euclidean. It is based on the first four of Euclid's postulates, but the fifth postulate is replaced so that there exist various straight lines and points exterior to them in such a way that none, one, more, and infinitely many parallels can be drawn through the points in this mixted smarandacheian space. See Smarandache Non-Geometry, Smarandache Counter-Projective Geometry, and Smarandache Anti-Geometry; also the club called Smarandache Geometries.|
|Math Topics:||Euclidean Plane Geometry, Non-Euclidean Geometry|
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