volume 29, issue 3, P435-443 2003
DOI: 10.1007/s00454-002-2852-y
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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 f…

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