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Symmetry 2012, 4(2), 265-275; doi:10.3390/sym4020265

Maniplexes: Part 1: Maps, Polytopes, Symmetry and Operators

Department of Mathematics and Statistics, Northern Arizona University, NAU Box 5717, Flagstaff, AZ 86011, USA
For the Amusement of Toma┼ż Pisanski on the Occasion of one of his 60th Birthdays.
Received: 29 January 2012 / Revised: 26 March 2012 / Accepted: 5 April 2012 / Published: 16 April 2012
(This article belongs to the Special Issue Polyhedra)
Download PDF [262 KB, uploaded 16 April 2012]


This paper introduces the idea of a maniplex, a common generalization of map and of polytope. The paper then discusses operators, orientability, symmetry and the action of the symmetry group.
Keywords: symmetry; polytope; maniplex; map; flag; transitivity symmetry; polytope; maniplex; map; flag; transitivity
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Wilson, S. Maniplexes: Part 1: Maps, Polytopes, Symmetry and Operators. Symmetry 2012, 4, 265-275.

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