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Mathematical Sciences Classification System

52Bxx - Polytopes and polyhedra

• 3
  52B05
  Combinatorial properties (number of faces, shortest paths, etc.) [See also 05Cxx]
• 2
  52B10
  Three-dimensional polytopes
• 1
  52B11
  $n$-dimensional polytopes
• 2
  52B12
  Special polytopes (linear programming, centrally symmetric, etc.)
• 6
  52B15
  Symmetry properties of polytopes
• 8
  52B20
  Lattice polytopes (including relations with commutative algebra and algebraic geometry) [See also 06A11, 13F20, 13Hxx]
• 52B22
  Shellability
• 1
  52B35
  Gale and other diagrams
• 52B40
  Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx]
• 7
  52B45
  Dissections and valuations (Hilbert's third problem, etc.)
• 10
  52B55
  Computational aspects related to convexity {For computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx} [See also 68Uxx]
• 1
  52B60
  Isoperimetric problems for polytopes
• 52B70
  Polyhedral manifolds
• 52B99
  None of the above, but in this section