Under Orders represents the outcomes of a perfect shuffle. The idea came from a young knitter, named Rachel Bishop, who had knitted a scarf after investigating perfect shuffles.
A perfect shuffle is what happens when you split a pack of cards in half then shuffle them so that the cards mix alternately from the two piles. If this process is repeated often enough you get back to where you started. The number of shuffles needed to get back to the original order varies according to the different sizes of packs used.
It was an idea I just had to represent on an afghan!
It caused problems we had met before because only a small number of colours could
be used so that they were easily identifiable. Using a ten-
The ten colours represent ten cards from a pack. The first column shows their order at the start. When the ten cards are shuffled in a ‘perfect shuffle’ the cards in the bottom half of the pile alternate with those in the top half. The new sequence is represented in the second column. Each ‘perfect shuffle’ changes the order of the cards and after the tenth shuffle they have returned to their original positions.