Square Matrix Permutations

permutation

0

size of first matrix

1

color scheme

DarkRainbow

0 is not prime. The permutation cycle length is 5040.

Repeated application of a particular permutation of the elements of an

n×n

matrix based on traversing diagonals results in the original matrix. The number of iterations

I(n)

for

n=1,2,…

to complete the cycle is the same as the length of the period of the periodic sequence that results from the Fibonacci sequence modulus

n

known as the Pisano period.