A063924 Number of 3-dimensional cells in the regular 4-dimensional polytopes.

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.

Links

Table of n, a(n) for n=1..6.

Paul Bourke, Regular polytopes (Platonic solids) in 4D

Index entries for sequences related to polytopes

Formula

a(n) = A063925(n) - A063926(n) + A063927(n).

Example

a(2) = 8 since a 4D hypercube contains eight cubes.

Crossrefs

Cf. A053016, A060296, A063722, A063723.

Sequence in context: A088586 A350347 A073136 * A340997 A058566 A153363

Adjacent sequences: A063921 A063922 A063923 * A063925 A063926 A063927

Keyword

fini,full,nonn

Author

Henry Bottomley, Aug 15 2001

Extensions

Corrected faces to cells by Douglas Boffey, Aug 12 2012

Status

approved