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gap-packages / SimplicialSurfaces

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DualSurface #40

Open markusbaumeister opened 6 years ago

markusbaumeister commented 6 years ago

Implement DualSurface, i.e. faces and vertices switch places in the incidence structure. This maybe should get a different name to not be confused with geodesic duality. It is also not clear in which chapter its documentation should go.

markusbaumeister commented 4 years ago

The described duality is polar duality, thus the name PolarDual is suggestive. Furthermore, it would be good to have a complete chapter (or at least section) devoted to different concepts of duality. In the paper "Operators over Regular Maps" by Stephen E. Wilson, six different types of duality are listed.

markusbaumeister commented 3 years ago

A good test for the geodesic duality-method would be to validate the examples in the library.