Local orientation-preserving symmetry preserving operations on polyhedra

Unifying approaches by amongst others Archimedes, Kepler, Goldberg, Caspar and Klug, Coxeter, Conway, extending on a previous formalization of the concept local symmetry preserving (lsp) operations, we introduce formal definition operations plane graphs that preserve orientation-preserving symmetries, but not necessarily orientation-reversing symmetries. This include, e.g., chiral Goldberg Conway as well all lsp operations. We prove soundness our an invariant which can be used to systematically construct such also show sufficient conditions for operation connectedness graph it is applied.