Curve Stitchings & Card Shufflings
Here’s something non-pedagogy related and rather brief and who knows. Here goes.
1) The solution to this problem (in short: how many perfect shuffles until a 52 card deck is back in its original order)
2) the creation of this picture:
Are the same thing:
So… I’m just gonna let that sit out there in the open with very little explanation. Maybe you’re curious. Maybe not. I certainly am.
Related and very cool: http://www.openprocessing.org/sketch/192276
Two other sets of related questions:
1) Will an n card deck always take n perfect shuffles before it’s back in its original order?
2) If each of the n dots in the circle are really n nails in a piece of circular wood, can I create this design with a single thread of string?
Also, this post couldn’t have happened without Dan Anderson. All this math is his fault.