A133338 Number of combinatorial types of neighborly 4-polytopes with n vertices.
1, 1, 1, 3, 23, 431, 13935, 556062
Offset: 5
References
- B. Gruenbaum, Convex Polytopes, 2nd Edition, p. 129a.
Links
- Djordje Baralić and Lazar Milenković, Surprising Examples of Manifolds in Toric Topology!, arXiv:1704.05932 [math.AT], 2017.
- Djordje Baralić and Lazar Milenković, Small Covers and Quasitoric Manifolds over Neighborly Polytopes, Mediterr. J. Math. 19, 87 (2022).
- Moritz Firsching, Realizability and inscribability for simplicial polytopes via nonlinear optimization, arXiv:1508.02531 [math.MG], 2015.
- Firsching, Moritz Realizability and inscribability for simplicial polytopes via nonlinear optimization. Math. Program. 166, No. 1-2 (A), 273-295 (2017). Table 1
- Moritz Firsching, The complete enumeration of 4-polytopes and 3-spheres with nine vertices, arXiv:1803.05205 [math.MG], 2018.
- Moritz Firsching, Classifications and realizations; alternative link
Extensions
a(11)-a(12) from Moritz Firsching's page added by Andrey Zabolotskiy, Dec 24 2021
a(12) corrected from 556061 to 556062 based on Baralić & Milenković's paper. Apparently earlier I misinterpreted Firsching's data. - Andrey Zabolotskiy, Aug 27 2022