Create an interactive simulation of an ant walking between nodes along edges of a polyhedron. This should be easy. Walking along an edge, the program reports the names of faces to the left and right. Add a geometric component (so not just walking along a graph) by reporting lengths, dihedral angles, and vertex angles.
This ant's-eye view is intended to contrast with the bird's-eye view in which polyhedra are typically depicted. The ant's-eye view avoids confusion in complicated self-intersecting concave star polyhedra.
Might also be useful for abstract polyhedra, though with less geometry.
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