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| user_guide:tutorials:apps_polytope [2019/01/25 09:38] – ↷ Links adapted because of a move operation oroehrig | user_guide:tutorials:apps_polytope [2019/01/25 13:32] – ↷ Links adapted because of a move operation oroehrig |
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| A //polytope// is the convex hull of finitely many points in some Euclidean space. Equivalently, a polytope is the bounded intersection of finitely many affine halfspaces. ''polymake'' can deal with polytopes in both representations and provides numerous tools for analysis.\\ | A //polytope// is the convex hull of finitely many points in some Euclidean space. Equivalently, a polytope is the bounded intersection of finitely many affine halfspaces. ''polymake'' can deal with polytopes in both representations and provides numerous tools for analysis.\\ |
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| This tutorial first shows basic ways of defining a polytope from scratch. For larger input (e.g. from a file generated by some other program) have a look at [[..:data|how to load data]] in ''polymake''.\\ | This tutorial first shows basic ways of defining a polytope from scratch. For larger input (e.g. from a file generated by some other program) have a look at [[..:howto:data|how to load data]] in ''polymake''.\\ |
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| The second part demonstrates some of the tool ''polymake'' provides for handling polytopes by examining a small example. For a complete list of properties of polytopes and functions that ''polymake'' provides, see the [[reldocs>3.0/polytope.html|polytope documentation]]. | The second part demonstrates some of the tool ''polymake'' provides for handling polytopes by examining a small example. For a complete list of properties of polytopes and functions that ''polymake'' provides, see the [[reldocs>3.0/polytope.html|polytope documentation]]. |