Square matrix permutations

The demonstration is an interactive display that illustrates the connection between the permutations of square matrices and the Pisano sequence which is related to Fibonacci numbers. This approach is appealing to both kinaesthetic and visual learners. The initial discovery of the connection was first reported in: N. Patson 2007, Pisano period and permutations of n × n matrices, Australian Mathematical Society Gazette, Vol 34, Number 1, pp 39-43.