Quotients of Some Finite Universal Locally Projective Polytopes |
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Authors: | Hartley |
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Affiliation: | (1) KDU College, SS 22/41, Damansara Jaya, 47400, Petaling Jaya, Selangor, Malaysia michael@kdu.edu.my, MY |
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Abstract: | Abstract. This paper classifies the quotients of a finite and locally projective polytope of type {4,3,5} . Seventy quotients are found, including three regular polytopes, and nine other section regular polytopes which are themselves locally projective. The classification is done with the assistance of GAP, a computer system for algebraic computation. The same techniques are also applied to two finite locally projective polytopes respectively of type {3,5,3} and {5,3,5} . No nontrivial quotients of the latter are found. |
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