52XX 


Convex and discrete geometry 

52Bxx 

Polytopes and polyhedra 


52B05 
Combinatorial properties (number of faces, shortest paths, etc.) [See also 05Cxx] 


52B10 
Threedimensional 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] 


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 