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

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