jeng-zai shuffles

Date: 2018-02-03 09:41 pm (UTC)
zuhrovet: Close-up photo of a black-and-white moth in the grass (moth)
From: [personal profile] zuhrovet
[Possibly, but now that you mention it, here is even more of a tangent! One can approximate a perfectly random shuffle of an n-card deck using 1.5 log2 n riffle shuffles. For a 52-card deck, that works out to around 8 shuffles. Mathematically, splitting the deck and shuffling 8 times is equivalent to cutting into 8 piles and then recombining, which is why I used to have a probability textbook with an octopus shuffling cards on the cover.

For a 78-card Tarot or jeng-zai deck, you need approximately 9.428 shuffles for near-random mixing. Rounding up to ten, that means we want a decapod for our ideal shuffling: perhaps a crab, or a crayfish.]
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