A new Petrie-like construction for abstract polytopes |
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| Authors: | Michael I Hartley Dimitri Leemans |
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| Institution: | aUniversity of Nottingham (Malaysia Campus), Jalan Broga, Semenyih, 43500 Selangor, Malaysia;bDépartement de Mathématiques, Université Libre de Bruxelles, C.P. 216, Géométrie, Boulevard du Triomphe, B-1050 Bruxelles, Belgium |
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| Abstract: | This article introduces a new construction for polytopes, that may be seen as a generalisation of the Petrie dual to higher ranks. Some theoretical results are derived regarding when the construction can be expected to work, and the construction is applied to some special cases. In particular, the generalised Petrie duals of the hypercubes are enumerated. |
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| Keywords: | Abstract regular polytopes Petrial |
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