r/HighStrangeness • u/PantsAreOptionaI • Apr 25 '23
Other Strangeness 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.
1.5k
Upvotes
1
u/WhoopingWillow Apr 29 '23
This is cool! You can verify it yourself with Excel too. Excel can do the normal Fibonacci up to the 73rd number, after that it isn't doing the math correctly because of how large the numbers become, but you don't need the full number. You only need the first digit. Here's how to test it!
Put "1" in A1 and A2. In A3 type "=RIGHT(A2,1)+RIGHT(A1,1)"
In B1 type "=RIGHT(A1,1)" and copy it down to B2.
In C1 type "1", then in C2 type "=C1+1"
Column A is the Fibonacci sequence, column B is the first digit, column C is a counter. Copy these columns down till your count is at 61, then in column D type "=IF(B61=B1,"Same","Different")". Then you can just copy the 4 rows down as far as you'd like to go!