Smarandache Paradoxist Geometry
Library Home || Full Table of Contents || Suggest a Link || Library Help
|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|
© 1994- The Math Forum at NCTM. All rights reserved.