login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 


Sorted number of edges of distinct solutions in the mix of 2 or 3 regular convex 4-polytopes.
1

%I #17 Feb 11 2020 09:40:59

%S 480,1536,1920,4608,5760,14400,18432,34560,46080,57600,72000,92160,

%T 138240,230400,276480,691200,691200,884736,1105920,1728000,2211840,

%U 2764800,3456000,6635520,8294400,11059200,13824000,26542080,33177600,41472000,82944000,103680000,132710400,331776000,995328000

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

%C 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.

%H Gabe Cunningham, <a href="http://arxiv.org/abs/1111.1312">Mixing Convex Polytopes</a>, arXiv:1111.1312v1 [math.CO], Nov 5, 2011.

%e 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).

%Y Cf. A063924, A199545, A199546, A199549, A199807, A199811.

%K nonn,fini,full

%O 1,1

%A _Jonathan Vos Post_, Nov 10 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 20 03:21 EDT 2024. Contains 376016 sequences. (Running on oeis4.)