000RM.dvi

(Ann) #1
1105

The repeated snake rearrangement


Pick up the card along the columns, first from top to bottom, then from
bottom to top, and alternately. Rearrange in the standard order. This is
the permutationσ=σm,n


1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

The cycle structure after one more application:

1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16
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