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How Many Steps?
Polyhedral Maps on 2manifolds
Characterizing the Numbers of Faces of a Simplicial Convex Polytope
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abstract convexity affine aligned space X,C allowable sequence angle antimatroids axioms billiards inside bound boxes caustic for billiards characterization chordal graph combinatorial conjecture constant width contains conv conv(K U P conv(S convex body convex caustic convex hull convex polytopes convex sets convex subset convexity space curve d-polytope defined Dehn-Sommerville equations denote dimension disjoint downset Eckhoff edges embedded profile equivalent Euler's relation example f-vectors finitary function Geometry graph Griinbaum Helly number Helly's theorem hull operator hyperplane independence integer intersection isomorphic J. P. Doignon Klee lattice lemma Levi's theorem linear London Math Mathematics matroids McMullen nonempty nonnegative Note o-core ordinary alignment points polygons PROBLEM proof proved pseudolines R. E. Jamison Radon vector Radon's Theorem Reay result semilattices separation axioms Sierksma simplicial polytopes Steiner system subspace supporting line theory tion topology toroidal polytope triangles unimorphism Univ universal algebra valuation vector space vertex vertices