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

5, 8, 16, 24, 120, 600

Offset: 1

Author

Henry Bottomley, Aug 15 2001

Keywords

• fini
• full
• nonn

Comments

Sorted by number of 3-dimensional cells.

Also, number of vertices of the regular 4-dimensional polyhedra. - Douglas Boffey, Aug 12 2012

Examples

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

References

• H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973.

Links

• Paul Bourke, Regular polytopes (Platonic solids) in 4D
• Index entries for sequences related to polytopes

Crossrefs

Cf. A053016, A060296, A063722, A063723.

Formula

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

Extensions

Corrected faces to cells by Douglas Boffey, Aug 12 2012