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  • 52-XX Convex and discrete geometry
  • 52Bxx Polytopes and polyhedra
  • 52B45 Dissections and valuations (Hilbert's third problem, etc.)

52Bxx Polytopes and polyhedra

  • 52B05 Combinatorial properties (number of faces, shortest paths, etc.)
  • 52B10 Three-dimensional polytopes
  • 52B11 n -dimensional polytopes
  • 52B12 Special polytopes (linear programming, centrally symmetric, etc.)
  • 52B15 Symmetry properties of polytopes
  • 52B20 Lattice polytopes (including relations with commutative algebra and algebraic geometry)
  • 52B22 Shellability
  • 52B35 Gale and other diagrams
  • 52B40 Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.)
  • 52B45 Dissections and valuations (Hilbert's third problem, etc.)
  • 52B55 Computational aspects related to convexity
  • 52B60 Isoperimetric problems for polytopes
  • 52B70 Polyhedral manifolds
  • 52B99 None of the above, but in this section
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