000RM.dvi

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1104 Card tricks from permutations


The repeated diagonal rearrangement


Pick up the cards along thediagonals, fromfrom bottom to top, and
from left to right. Then rearrange them in the standard order.
Form=n=4, this is the permutationδ=δm,n
123456 7 8 910111213141516
15296313107 4 1411 8 151216


with cycle structure


1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

The cycle structure is simpler after one more application:

1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16
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