Geometric combinatorics
Geometric combinatorics is a branch of mathematics in general and combinatorics in particular. It includes a number of subareas such as polyhedral combinatorics (the study of faces of convex polyhedra), convex geometry (the study of convex sets, in particular combinatorics of their intersections), and discrete geometry, which in turn has many applications to computational geometry. Other important areas include metric geometry of polyhedra, such as the Cauchy theorem on rigidity of convex polytopes. The study of regular polytopes, Archimedean solids, and kissing numbers is also a part of geometric combinatorics. Special polytopes are also considered, such as the permutohedron, associahedron and Birkhoff polytope.
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Geometric combinatorics
Geometric combinatorics is a branch of mathematics in general and combinatorics in particular. It includes a number of subareas such as polyhedral combinatorics (the study of faces of convex polyhedra), convex geometry (the study of convex sets, in particular combinatorics of their intersections), and discrete geometry, which in turn has many applications to computational geometry. Other important areas include metric geometry of polyhedra, such as the Cauchy theorem on rigidity of convex polytopes. The study of regular polytopes, Archimedean solids, and kissing numbers is also a part of geometric combinatorics. Special polytopes are also considered, such as the permutohedron, associahedron and Birkhoff polytope.
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Geometric combinatorics is a b ...... ahedron and Birkhoff polytope.
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La combinatoire géométrique es ...... e et le polytope de Birkhoff .
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Геометрична комбінаторика — це ...... к , та багатогранник Біркгофа.
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Geometric combinatorics is a b ...... ahedron and Birkhoff polytope.
@en
La combinatoire géométrique es ...... la géométrie computationnelle.
@fr
Геометрична комбінаторика — це ...... к , та багатогранник Біркгофа.
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label
Combinatoire géométrique
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Geometric combinatorics
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Геометрична комбінаторика
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