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Search: id:A060296
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| A060296 |
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Number of regular convex polytopes in n-dimensional space, or -1 if the number is infinite. |
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+0
10
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| 1, 1, -1, 5, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973.
B. Gr\"{u}nbaum, Convex Polytopes. Wiley, NY, 1967, p. 424.
P. McMullen and E. Schulte, Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, Vol. 92, Cambridge University Press, Cambridge, 2002.
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EXAMPLE
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a(2) = -1 because of the regular polygons in the plane.
a(3) = 5 because in R^3 the regular convex polytopes are the 5 Platonic solids.
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CROSSREFS
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Cf. A000943, A000944, A053016, A063927, A093478, A093479.
Sequence in context: A011499 A106599 A079267 this_sequence A114598 A123852 A099038
Adjacent sequences: A060293 A060294 A060295 this_sequence A060297 A060298 A060299
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KEYWORD
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sign
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AUTHOR
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Ahmed Fares (ahmedfares(AT)my-deja.com), Mar 24 2001
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