Open AccessThis article is
- freely available
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 Tomaž Pisanski on the Occasion of one of his 60th Birthdays.
Received: 29 January 2012; in revised form: 26 March 2012 / Accepted: 5 April 2012 / Published: 16 April 2012
(This article belongs to the Special Issue Polyhedra
Abstract: 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
Citations to this Article
Cite This Article
MDPI and ACS Style
Wilson, S. Maniplexes: Part 1: Maps, Polytopes, Symmetry and Operators. Symmetry 2012, 4, 265-275.
Wilson S. Maniplexes: Part 1: Maps, Polytopes, Symmetry and Operators. Symmetry. 2012; 4(2):265-275.
Wilson, Steve. 2012. "Maniplexes: Part 1: Maps, Polytopes, Symmetry and Operators." Symmetry 4, no. 2: 265-275.