[RockStrongo]

Wrote a little program based on plz's work.
This should be the correct results for the first case, called an In-Shuffle (http://mathworld.wolfram.com/In-Shuffle.html):
n k
2 2
4 4
6 3
8 6
10 10
12 12
14 4
16 8
18 18
20 6
22 11
24 20
26 18
28 28
30 5
32 10
34 12
36 36
38 12
40 20
42 14
44 12
46 23
48 21
50 8
52 52

[jdunford]

Originally Posted by RockStrongo

Wrote a little program based on plz's work.
This should be the correct results for the first case, called an In-Shuffle (http://mathworld.wolfram.com/In-Shuffle.html):

That's consistent with what I found (up to stacks of 10, or 20 chips). I figured out the rule for powers of 2, but wouldn't have predicted so few shuffles required for stacks of 11 or 26, for example. Well done, plz.

Let m = height of each stack (so 2m is the total number of chips to in-shuffle).

m n k
2 2 2
3 4 4
4 6 3
5 8 6
6 10 10
7 12 12
8 14 4
9 16 8
10 18 18
11 20 6
12 22 11
13 24 20
14 26 18
15 28 28
16 30 5
17 32 10
18 34 12
19 36 36
20 38 12
21 40 20
22 42 14
23 44 12
24 46 23
25 48 21
26 50 8
27 52 52
...
32 62 6
...[/quote]

[plz]

Originally Posted by jdunford

Do you mind posting that spreadsheet? Thanks.

Sure - I'd love to post the spreadsheet (not just the results) to this site. Uh... how do I do that?

[Wedge Rock]

Upload it somewhere (personal website, etc.) and then just hyperlink back to it.

If you can't do that, you can email me the spreadsheet and I can post it for you...

[plz]

Originally Posted by Wedge Rock

Upload it somewhere (personal website, etc.) and then just hyperlink back to it.

If you can't do that, you can email me the spreadsheet and I can post it for you...

Just sent you an e-mail with the spreadsheet attached. Should be self-explanatory -- let me know if you have any questions.

[Wedge Rock]

Yep. I got the email... I'll post it tonight.

[Wedge Rock]

Cool. When did Google get docs and spreadsheets?

Here's the link: http://spreadsheets.google.com/ccc?k...pdUQwr6qapBnCg

[samanda]

Ka-BLOOOOOOM

That was my head exploding. If I were able to shuffle my chips without tipping them all over the table, I'd try it myself... As for the mathematical equations, etc., I can't even begin to comprehend it. So I'll just work on improving my game without the many statistical probablilities of chip shuffling clouding my reads.

[RadixLecti]

I always shuffle with two colors, so I'm used to the fact that you get the stacks sorted again after a few shuffles.

Now, shuffle again, using your other hand.
Different patterns, and more/less shuffles to get there.