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A063924
Number of 3-dimensional cells in the regular 4-dimensional polytopes.
10
5, 8, 16, 24, 120, 600
OFFSET
1,1
COMMENTS
Sorted by number of 3-dimensional cells.
Also, number of vertices of the regular 4-dimensional polyhedra. - Douglas Boffey, Aug 12 2012
REFERENCES
H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973.
FORMULA
a(n) = A063925(n) - A063926(n) + A063927(n).
EXAMPLE
a(2) = 8 since a 4D hypercube contains eight cubes.
CROSSREFS
KEYWORD
fini,full,nonn
AUTHOR
Henry Bottomley, Aug 15 2001
EXTENSIONS
Corrected faces to cells by Douglas Boffey, Aug 12 2012
STATUS
approved