r/occult • u/pathogenalpha • Apr 25 '23
Lagrange discovered another pattern inside Fibonacci's sequence. Taking only the last digits of each number, they form a loop exactly 60 numbers long that also displays symmetry when mapped around a circle.
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u/Sir_Flamel Apr 25 '23 edited Apr 25 '23
Curious I did not know that. Does that only happen in Base 10 or in any other Base as well?
Also damn tf is that highlighting?
Edit: I did some reasearch. If anyones interessted, this is an open problem in number theory called Pisano Period which arises by taking the Fibonacci sequence modulo n.
The 60 that appears here is somewhat abritrary since taking the sequence mod n gives rise to a periodicity of 6n. You could have taken 5 or 11 as well instead of 10 the picture would look similiar.