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UNDER ORDERS

This design represents a pack of ten cards being shuffled. Each card is represented by a colour.

The first column shows the cards in their starting places. The second column shows the positions after one perfect shuffle. The cards which were in the bottom half of column one alternate with those which were in the top half.

The third colum shows what happens when the cards in the second column are shuffled again, and so on. After ten perfect shuffles, the cards have returned to their original order, shown in the last column.
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Under Orders
RELATED DESIGNS

LOGICAL-ORDERING AFGHANS

LOGICAL-ORDERING CUSHIONS
CONSTRUCTION INFORMATION

The pattern includes instructions for several different methods of construction.

The original was made with crochet squares stitched together but, for either craft, it could also be made in strips or in a single piece.
CROCHET/KNITTING INFORMATION

110 squares form eleven columns with ten squares in each. At first glance the arrangement may appear to be random. There are ten colours and each colour appears once in every column.

It can be made in any type of yarn, in knitting or crochet. The size of the squares can be altered to change the size of the afghan.



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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.
The number of shuffles varies according to the different sizes of packs used. It would be very difficult to represent the shuffles of larger packs because of the large number of colours that would be needed.

The inspiration came from Rachel Bishop’s Math Scarves.
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