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