  Lopsp-operations are operations on maps that are applied locally and are
guaranteed to preserve all the orientation-preserving symmetries of maps.
Well-known examples of such operations are dual, ambo, truncation, and
leapfrog. They are described by plane 3-coloured triangulations with specific
properties. We developed and implemented a program that can generate all
lopsp-operations of a given size by reducing the problem of generating
lopsp-operations to generating all plane quadrangulations that are not
necessarily simple. We extended the program plantri to generate these
quadrangulations.
