Operartors on Maniplexes

'Maniplex' is a generalization of 'polytope' and is at the same time a generalization of 'map'.  We are interested in those which have large symmetry groups, and these come in two kinds, 'rotary' and 'reflexible', both called 'regular' by some faction of the community.  In this talk, we will introduce manilexes, talk about the motivations for the definition, give some basic examples of several dimensions, and discuss the distinction between maniplexes and polytopes.  Our main goal is to understand a handful of operators (Dual, Petrie, Bubble, Twist) which transform one regular maniplex into another.

fa