# Are all polytopes also convex hulls?

It seems, at least in the 2-D case, that all polytopes are going to be convex. Does this hold if the dimensions are increased?

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Do you mean regular polygons? –  M.B. Oct 31 '12 at 14:53
I'm specifically referring to polytopes created from a combination of half spaces. –  Wesley Tansey Oct 31 '12 at 14:57