### 52Bxx Polytopes and polyhedra

- 52B05 Combinatorial properties (number of faces, shortest paths, etc.), See also {05Cxx}
- 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), See also {06A08, 13F20, 13Hxx}
- 52B30 Arrangements of hyperplanes
- 52B35 Gale and other diagrams
- 52B40 Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), See Also {
05B35}
- 52B45 Dissections and valuations (Hilbert's third problem, etc.)
- 52B55 Computational aspects related to convexity, {For computational geometry and algorithms, See 68Q20, 68Q25, 68U05; for numerical algorithms, See 65Yxx}
- 52B60 Isoperimetric problems for polytopes
- 52B70 Polyhedral manifolds
- 52B99 None of the above but in this section

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