On locally spherical polytopes of type {5, 3, 5} |
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Authors: | Michael I Hartley Dimitri Leemans |
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Institution: | a DownUnder GeoSolutions, 80 Churchill Ave, Subiaco, 6008, Australia b Département de Mathématiques, Université Libre de Bruxelles, C.P.216-Géométrie, Boulevard du Triomphe, B-1050 Bruxelles, Belgium |
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Abstract: | There are only finitely many locally projective regular polytopes of type {5, 3, 5}. They are covered by a locally spherical polytope whose automorphism group is J1×J1×L2(19), where J1 is the first Janko group, of order 175560, and L2(19) is the projective special linear group of order 3420. This polytope is minimal, in the sense that any other polytope that covers all locally projective polytopes of type {5, 3, 5} must in turn cover this one. |
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Keywords: | Abstract regular polytope Hyperbolic tessellation First Janko group Locally projective polytope Locally spherical polytope Quotient polytope |
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