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A063925 Number of 2-dimensional faces in the regular 4-dimensional polytopes. 6

%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

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Last modified April 24 16:49 EDT 2024. Contains 371962 sequences. (Running on oeis4.)