Voltage operations on maniplexes, maps and polytopes
Date:
Talk by invitation in the Seminar Dicrete Mathematics UL FMF
Faculty of Mathematics and Physics, University of Ljubljana
Ljubljana, Slovenia
Abstract: Geometrical operations such as truncation, duality, Petrie-duality, among others, arise naturally in the study of highly symmetric convex polyhedra. Often these operations do not generalise in an obvious way to combinatorial objects (such as abstract polytopes). In the talk we shall present a way to deal with many of these operations in a graph-theoretical setting using maniplexes, which are combinatorial generalisation of maps on surfaces and convex polytopes. We shall see how we could potentially use these operations to build maniplexes (or abstract polytopes) with prescribed symmetry type.ˀ