Polytopal and nonpolytopal spheres. An algorithmic approach
From MaRDI portal
Publication:1100441
DOI10.1007/BF02766213zbMath0639.52004OpenAlexW1965348547MaRDI QIDQ1100441
Jürgen Bokowski, Bernd Sturmfels
Publication date: 1987
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02766213
Software, source code, etc. for problems pertaining to convex and discrete geometry (52-04) Combinatorial aspects of matroids and geometric lattices (05B35) Polytopes and polyhedra (52Bxx)
Related Items
Many triangulated spheres, Altshuler's sphere \(M^{10}_{425}\) is not polytopal, Computing final polynomials and final syzygies using Buchberger's Gröbner bases method, An infinite family of minor-minimal nonrealizable 3-chirotopes, Enumerating Neighborly Polytopes and Oriented Matroids, Three Counter-Examples on Semi-Graphoids, Combining realization space models of polytopes, On the decidability of Diophantine problems in combinatorial geometry, Nonrealizability proofs in computational geometry, Cayley factorization and a straightening algorithm, Multilinear Cayley factorization, The enumeration of four-dimensional polytopes, On the Topology and Geometric Construction of Oriented Matroids and Convex Polytopes, Neighborly 6-polytopes with 10 vertices, Neighborly polytopes and oriented matroids, On the finding of final polynomials, On the coordinatization of oriented matroids, The complete enumeration of 4-polytopes and 3-spheres with nine vertices, Self-polar polytopes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Neighborly 6-polytopes with 10 vertices
- On combinatorial and affine automorphisms of polytopes
- Neighborly polytopes
- Altshuler's sphere \(M^{10}_{425}\) is not polytopal
- Convexity in oriented matroids
- Proof of Grünbaum's conjecture on the stretchability of certain arrangements of pseudolines
- The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes
- Sphären mit wenigen Ecken
- Orientability of matroids
- On the coordinatization of oriented matroids
- Spheres with few vertices
- Triangulations of Oriented Matroids and Convex Polytopes
- Oriented Matroids of Rank Three and Arrangements of Pseudolines
- Neighborly 4-Polytopes and Neighborly Combinatorial 3-Manifolds with Ten Vertices