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A143661
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Number of special cuts between 3 and 21 vertices (and order 24 symmetry group) of the 600-cell.
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0
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1, 187, 3721, 41551, 321809, 1792727, 7284325, 21539704, 45979736, 69895468, 74365276, 54266201, 26605433, 8612476, 1824397, 252764, 22673, 1202, 22
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,2
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COMMENTS
| Sikiric and Myrvold, column 1, table 1, p.3. Abstract: A polytope is called regular-faced if every one of its facets is a regular polytope. The 4-dimensional regular-faced polytopes were determined by G. Blind and R. Blind. The last class of such polytopes is the one which consists of polytopes obtained by removing a set of non-adjacent vertices (an independent set) of the 600-cell. These independent sets are enumerated up to isomorphism and it is determined that the number of polytopes in this last class is 314248344.
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LINKS
| Mathieu Dutour Sikiric and Wendy Myrvold, The special cuts of the 600-cell, Nov 22, 2007.
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CROSSREFS
| Sequence in context: A063346 A134163 A030536 * A200799 A198905 A198252
Adjacent sequences: A143658 A143659 A143660 * A143662 A143663 A143664
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KEYWORD
| fini,full,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 28 2008
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