Diagram G and Recursive Sequences
From Geb
(Diagram G reversal) |
(Admitted similar lack of success with problem, invited computer programmers to have a go at it.) |
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The author poses a problem of flipping diagram G as in a mirror, renumbering the nodes from left to right and finding an algebraic description of the new function. This is the third day I've spent thinking about it. Got it figured out? | The author poses a problem of flipping diagram G as in a mirror, renumbering the nodes from left to right and finding an algebraic description of the new function. This is the third day I've spent thinking about it. Got it figured out? | ||
| + | -- | ||
| + | Nope! What troubles me most is that I can't think of any compelling reason why there couldn't be such a function. I spent about a week puzzling over it a couple years ago, shortly after finishing a BS in Mathematics and taking a year-long track in Abstract Algebra. I applied every trick I could think of to it, framing it in terms of recursive functions, digrams and number theory, trying to establish either a function or a proof that there couldn't exist such a function, all to no avail. Maybe some skilled programmer could try to brute-force a solution? | ||
Revision as of 18:48, 17 March 2006
The author poses a problem of flipping diagram G as in a mirror, renumbering the nodes from left to right and finding an algebraic description of the new function. This is the third day I've spent thinking about it. Got it figured out? -- Nope! What troubles me most is that I can't think of any compelling reason why there couldn't be such a function. I spent about a week puzzling over it a couple years ago, shortly after finishing a BS in Mathematics and taking a year-long track in Abstract Algebra. I applied every trick I could think of to it, framing it in terms of recursive functions, digrams and number theory, trying to establish either a function or a proof that there couldn't exist such a function, all to no avail. Maybe some skilled programmer could try to brute-force a solution?
