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Questions tagged [enumerative-combinatorics]

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3 votes
3 answers
311 views

Are there infinite sets of stellations of polyhedra?

Lists of stellations of polyhedrons are given particular rules like in the book The Fifty Nine Icosahedra which follows "Miller's Rules". There seems to be no "correct" ruleset to use, so more ...
Jason Dyer's user avatar
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16 votes
2 answers
1k views

Is there any meaning to a "nice bijective proof?"

From Zeilberger's PCM article on enumerative combinatorics: The reaction of the combinatorial enumeration community to the involution principle was mixed. On the one hand it had the universal ...
Harrison Brown's user avatar
10 votes
8 answers
3k views

Which came first: the Fibonacci Numbers or the Golden Ratio?

I know that the Fibonacci numbers converge to a ratio of .618, and that this ratio is found all throughout nature, etc. I suppose the best way to ask my question is: where was this .618 value first ...
gob126's user avatar
  • 175
10 votes
2 answers
924 views

Has anyone tabulated 2-knots? Would anyone like to try?

I'd love to have a list of 'small' $2$-knots, for some sense of small. It's not clear what one should filter by, but there are two obvious candidates Write a movie presentation, and count the frames. ...
Kim Morrison's user avatar
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