%I #21 Jan 12 2023 18:43:02
%S 10,24,32,96,720,1200
%N Number of 2-dimensional faces in the regular 4-dimensional polytopes.
%C Sorted by number of 2-dimensional faces.
%C Also the number of edges in the regular 4-dimensional polytopes [_Douglas Boffey_, Aug 12 2012]
%D H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973.
%H Paul Bourke, <a href="http://paulbourke.net/geometry/hyperspace/">Regular polytopes (Platonic solids) in 4D</a>
%H <a href="/index/Pol#polytopes">Index entries for sequences related to polytopes</a>
%F a(n) = A063924(n)+A063926(n)-A063927(n).
%e a(2) = 24 since a 4D hypercube contains twenty-four faces.
%Y Cf. A053016, A063722, A063723.
%K fini,full,nonn
%O 1,1
%A _Henry Bottomley_, Aug 15 2001
|