Partially Paradoxist Smarandache Geometries

Details Partially Paradoxist Smarandache Geometries Partially Paradoxist Smarandache Geometries

2001-10-08

arxiv.org/abs/math/0110085v1

Mathematics

Metric Geometry

To appear in Smarandache Notions Journal

Scientific paper

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.

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