Topological Construction of Spherical Analogue of a Given Euclidean Pyramid

Joseph Dongho^1, and Sim¨¦on Kemmegne Fopossi¹

¹Department of Mathematics and Computer Science, University of Maroua, Maroua, Cameroon

Cite this paper

Joseph Dongho and Sim¨¦on Kemmegne Fopossi. Topological Construction of Spherical Analogue of a Given Euclidean Pyramid. American Journal of Applied Mathematics and Statistics. 2019; 7(4):120-130. doi: 10.12691/AJAMS-7-4-1

Abstract

Given a regular Euclidean pyramid with square base, we use basic properties of great circle associated to it sides to prove the existence of its spherical counterpart. We also prove that its homeomorphic to its spherical counterpart.

Keywords

pyramid, euclidean pyramid, sphere, homeomorphism

Copyright

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