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?
Are all polytopes also convex hulls?
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$\begingroup$
convex-analysis
convex-optimization
polytopes
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0I'm specifically referring to polytopes created from a combination of half spaces. – 2012-10-31
1 Answers
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Regular polygons are convex whereas regular polytopes may not be. Furthermore, the Platonic solids are indeed convex. Maybe you want to read about convex polytopes?
edit: seeing your comment I guess you are really interested in interesections of halfspaces?
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0That was it! Thanks! – 2012-10-31