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A063924 Number of 3-dimensional cells in the regular 4-dimensional polytopes. 10
5, 8, 16, 24, 120, 600 (list; graph; refs; listen; history; text; internal format)
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

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: A229849 A088586 A073136 * A058566 A153363 A154119

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

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Last modified August 26 05:23 EDT 2019. Contains 326328 sequences. (Running on oeis4.)