52Bxx Polytopes and polyhedra
 52B05 Combinatorial properties (number of faces, shortest paths, etc.) [See also 05Cxx]
 52B10 Threedimensional polytopes
 52B11 ndimensional 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
(1)
 52B99 None of the above, but in this section