Wednesday, November 16, 2005
Too much free time
It's true: If you shuffle a fresh deck of cards perfectly, after 8 shuffles the cards will be back in their original order:
Fresh deck:
A234567890JQKA234567890JQKA234567890JQKA234567890JQK
Shuffle 1:
AA223344556677889900JJQQKKAA223344556677889900JJQQKK
Shuffle 2:
AAAA222233334444555566667777888899990000JJJJQQQQKKKK
Shuffle 3:
A7A7A8A8282829293939303040404J4J5J5J5Q5Q6Q6Q6K6K7K7K
Shuffle 4:
A470A47JA48JA58J258J258Q259Q269Q369Q369K360K370K470K
Shuffle 5:
A94Q7206A94Q73J6A94Q83J6A95K83J6205K83J7205K84Q7205K
Shuffle 6:
A59K48Q37J260260A59K48Q37J37J260A59K48Q48Q37J260A59K
Shuffle 7:
A3579JK24680QA3579JK24680Q24680QA3579JK24680QA3579JK
Shuffle 8:
A234567890JQKA234567890JQKA234567890JQKA234567890JQK
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It's true: If you shuffle a fresh deck of cards perfectly, after 8 shuffles the cards will be back in their original order:
Fresh deck:
A234567890JQKA234567890JQKA234567890JQKA234567890JQK
Shuffle 1:
AA223344556677889900JJQQKKAA223344556677889900JJQQKK
Shuffle 2:
AAAA222233334444555566667777888899990000JJJJQQQQKKKK
Shuffle 3:
A7A7A8A8282829293939303040404J4J5J5J5Q5Q6Q6Q6K6K7K7K
Shuffle 4:
A470A47JA48JA58J258J258Q259Q269Q369Q369K360K370K470K
Shuffle 5:
A94Q7206A94Q73J6A94Q83J6A95K83J6205K83J7205K84Q7205K
Shuffle 6:
A59K48Q37J260260A59K48Q37J37J260A59K48Q48Q37J260A59K
Shuffle 7:
A3579JK24680QA3579JK24680Q24680QA3579JK24680QA3579JK
Shuffle 8:
A234567890JQKA234567890JQKA234567890JQKA234567890JQK
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