Crosswords0 min ago
Fibonacci Question
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Please can someone help me with the following question:
Rearrange the numbers 1 to 12 so that the addition of every adjacent pair is a fibonacci number.
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For more on marking an answer as the "Best Answer", please visit our FAQ.can I ask you mathematical wonders how you did it
that is the algorithm that you used to generate the sequence
did ja gues at the first or was there a reason ( like it generates a sequence and the others dont)
or didja have the first eleven Fibonacci numbers in your mind and sort tho'
Poincare and Polya were interested in this: how to solve a problem and not its actual solution
that is the algorithm that you used to generate the sequence
did ja gues at the first or was there a reason ( like it generates a sequence and the others dont)
or didja have the first eleven Fibonacci numbers in your mind and sort tho'
Poincare and Polya were interested in this: how to solve a problem and not its actual solution
I drew a 12 x 12 table, columns labelled 1 to 12, rows 1 to 12. In each cell I put the total of header + row where this is a Fibonacci number. We see straight away that in our solution 12 can be flanked only by 1 and 9, and then 11 only by 2 and 10. Looking at remaining numbers in succession we build up and join series of numbers.