2000/04/22 by Howard Iseri, Iseri, Howard
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Mathematics and Applications #math.MG #msc:51F99
paper · pdf · doi:10.48550/arxiv.math/0110085
To appear in Smarandache Notions Journal
arxiv created 2001/10/08 · arxiv updated 2009/11/30
A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors of lines that would seem to require a discrete space. A class of continuous spaces is presented here together with specific exmples that exhibit almost all of these phenomena and suggest the prospect of a continuous paradoxist geometry.