A particular permutation of the 52 cards of a deck of (French-suited) playing cards.

The order is as follows:

6♥️9♠️Q♦️2♣️5♥️

8♠️J♦️A♣️4♥️7♠️

X♦️K♣️3♥️6♠️9♦️

Q♣️2♥️5♠️8♦️J♣️

A♥️4♠️7♦️X♣️K♥️

3♠️6♦️9♣️Q♥️2♠️

5♦️8♣️J♥️A♠️4♦️

7♣️X♥️K♠️3♦️6♣️

9♥️Q♠️2♦️5♣️8♥️

J♠️A♦️4♣️7♥️X♠️

K♦️3♣️

Which, when presented for *a few seconds* to *a casual observer*, might look sufficiently random. However, if you arrange the cards in 13 columns, it looks like this:

6♥️ 9♠️ Q♦️ 2♣️ 5♥️ 8♠️ J♦️ A♣️ 4♥️ 7♠️ X♦️ K♣️ 3♥️

6♠️ 9♦️ Q♣️ 2♥️ 5♠️ 8♦️ J♣️ A♥️ 4♠️ 7♦️ X♣️ K♥️ 3♠️

6♦️ 9♣️ Q♥️ 2♠️ 5♦️ 8♣️ J♥️ A♠️ 4♦️ 7♣️ X♥️ K♠️ 3♦️

6♣️ 9♥️ Q♠️ 2♦️ 5♣️ 8♥️ J♠️ A♦️ 4♣️ 7♥️ X♠️ K♦️ 3♣️

Moreover, if you arrange the cards in 4 columns, it looks like this:

6♥️ 9♠️ Q♦️ 2♣️

5♥️ 8♠️ J♦️ A♣️

4♥️ 7♠️ X♦️ K♣️

3♥️ 6♠️ 9♦️ Q♣️

2♥️ 5♠️ 8♦️ J♣️

A♥️ 4♠️ 7♦️ X♣️

K♥️ 3♠️ 6♦️ 9♣️

Q♥️ 2♠️ 5♦️ 8♣️

J♥️ A♠️ 4♦️ 7♣️

X♥️ K♠️ 3♦️ 6♣️

9♥️ Q♠️ 2♦️ 5♣️

8♥️ J♠️ A♦️ 4♣️

7♥️ X♠️ K♦️ 3♣️

## Characteristics

As you might imagine, this stack (and many others) are very useful to anyone who would want to have precise control over a deck of cards, like magicians, tricksters, gamblers and mathematicians.

The order in this stack gives rise to the following structure. No matter how you cut the deck^{1} you’re sure to know that:

- Every 2nd card is of the same color (red or black)
- Every 4th card is of the same suit (hearts, spades, diamonds, clubs)
- Every 13th card is of the same number or face (ace through 10, Jack, Queen and King)
- In this particular stack, the next card’s value is the “current” card, plus three (mod 13)

295

Assuming, of course, a regular cut.