## 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 06A11, 13F20, 13Hxx] (1)
- 52B22 Shellability
- 52B35 Gale and other diagrams
- 52B40 Matroids (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) [See also 05B35, 52Cxx]
- 52B45 Dissections and valuations (Hilbert`s third problem, etc.)
- 52B55 Computational aspects related to convexity (For computational geometry and algorithms, see 68Q25, 68U05; for numerical algorithms, see 65Yxx) [See also 68Uxx]
- 52B60 Isoperimetric problems for polytopes
- 52B70 Polyhedral manifolds
- 52B99 None of the above, but in this section