When you take the remainder of dividing the
by a positive integer, you get a repeating pattern,
like 1, 1, 2 when dividing by 3. The length of the pattern is the Pisano period for that divisor. In this image, the
divisors increase in each row from 1 at the bottom to 24 at the top. From left to right are the remainders of the
Fibonacci numbers (from 1 on the left) when divided by the divisor. The brighter the color, the larger the number.
Yellowish squares on the left represent the first period for that divisor. Blueish disks on the right show the repetition.
© 2013 Kerry Mitchell