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BryceSummers

I am not so sure about that FACT...

Tetrahedral Meshes

Tetrahedral meshes have an average valence of 3. - 4 vertices. - 6 edges. - 12 half edges. - Average valence = 12/4 = 3

Simple Cube Meshes

Simple Cube meshes have an average valence of 4.5 - 8 vertices. - 18 edges. - 36 half edges. - average number of edges exiting a vertex: 36/8 = 4.5

Larger Meshes

That fact probably holds better for less trivial meshes.

Question?

Would anyone like to come up with some mathematical criteria that guarantees that the FACT holds?