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How do you define vertex in a way such that this would make sense? A square is a square, not an octagon with invisible vertices.
by zests 6y ago
How do you define vertex in a way such that this would make sense? A square is a square, not an octagon with invisible vertices.
- contravariant 6y agoIt takes less effort to define it without that restriction, then an octagon is just eight vertices with lines between them. You can add various restrictions such as not allowing it to intersect itself or requiring that it is convex, but not allowing 3 successive vertices to be colinear doesn't really give you any useful properties so I'm not sure why you'd want that.