cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A199810 Duplicate of A199807.

Original entry on oeis.org

40, 120, 128, 192, 384, 600, 960, 960, 960, 1920, 2880, 3072, 4800, 4800, 7680, 14400, 14400, 15360, 23040, 23040, 36000, 46080, 72000, 115200, 115200, 115200, 288000, 4320000, 576000, 864000, 921600, 1728000, 2764800, 6912000, 13824000
Offset: 1

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Author

Jonathan Vos Post, Nov 10 2011

Keywords

Comments

Name was: Sorted number of polyhedral facets of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.
Sorted 4th column of Table 2, p. 11, of Cunningham. Once sorted, from column 1 of the same table, which is the permutation A199807, becomes the same sequence as sorted number of vertices of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.

A199811 Sorted orders of automorphism groups of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.

Original entry on oeis.org

23040, 23040, 69120, 73728, 221184, 221184, 864000, 864000, 2764800, 2764800, 2764800, 2764800, 4423680, 8294400, 8294400, 13271040, 13271040, 42467328, 103680000, 165888000, 165888000, 165888000, 165888000, 497664000, 497664000, 530841600, 530841600, 1592524800, 1592524800, 1592524800, 1592524800, 6220800000, 19906560000, 19906560000, 59719680000
Offset: 1

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Author

Jonathan Vos Post, Nov 10 2011

Keywords

Comments

Sorted 5th column of Table 2, p. 11, of Cunningham.

Examples

			a(1) = 23040 because the mix of the pentatope {3,3,3} and the 16-cell hyperoctahedron {3,3,4} has 40 vertices, 480 edges, 1920 faces, 960 polyhedral facets, and an automorphism group of order 23040, and is itself polytopal (not every mix of polytope and polytope is a polytope).
		

Crossrefs

A199808 Sorted number of edges of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.

Original entry on oeis.org

480, 1536, 1920, 4608, 5760, 14400, 18432, 34560, 46080, 57600, 72000, 92160, 138240, 230400, 276480, 691200, 691200, 884736, 1105920, 1728000, 2211840, 2764800, 3456000, 6635520, 8294400, 11059200, 13824000, 26542080, 33177600, 41472000, 82944000, 103680000, 132710400, 331776000, 995328000
Offset: 1

Views

Author

Jonathan Vos Post, Nov 10 2011

Keywords

Comments

Also sorted number of faces of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes. Sorted 2nd or 3rd column of Table 2, p. 11, of Cunningham.

Examples

			a(1) = 480 because the mix of the pentatope {3,3,3} and the 16-cell hyperoctahedron {3,3,4} has 40 vertices, 480 edges, 1920 faces, 960 polyhedral facets, and an automorphism group of order 23040, and is itself polytopal (not every mix of polytope and polytope is a polytope).
		

Crossrefs

Showing 1-3 of 3 results.