Playing cards fanned out showing a stacked deck arrangement

Reference Guide

Stacked Decks Explained

The underlying formulas, suit rotation, and rule or mnemonic you need to master both stacks.

Method One

The Si Stebbins Stack

Although the setup popularized by William Coffren (performing as "Si Stebbins") dates back to the late 1800s, progressive or sequential card stacks utilizing a mathematical progression have been around far longer, more than 400 years. Si Stebbins is built on a simple mathematical rule that makes any card in the deck instantly calculable.

The Core Rule

The Plus-3 Formula

Each card is exactly 3 values higher than the card before it. Suits rotate in strict order:

♣ Clubs♥ Hearts♠ Spades♦ Diamonds

Ace = 1, 2 through 10 at face value, Jack = 11, Queen = 12, King = 13. When you exceed 13, wrap back to Ace and continue.

The Full 52-Card Order

Top of deck through to bottom. Values cycle: A, 4, 7, 10, K, 3, 6, 9, Q, 2, 5, 8, J, then repeat. Suits cycle: Clubs, Hearts, Spades, Diamonds.

NOTE: Decks stacked using the Rapid Set-up method will have the King of Clubs on top of the deck upon completion. Since the order is cyclical, the starting point does not matter. We mention this only to avoid confusion for those new to this process.

A♣ 4♥ 7♠ 10♦ K♣ 3♥ 6♠ 9♦ Q♣ 2♥ 5♠ 8♦ J♣ A♥ 4♠ 7♦ 10♣ K♥ 3♠ 6♦ 9♣ Q♥ 2♠ 5♦ 8♣ J♥ A♠ 4♦ 7♣ 10♥ K♠ 3♦ 6♣ 9♥ Q♠ 2♦ 5♣ 8♥ J♠ A♦ 4♣ 7♥ 10♠ K♦ 3♣ 6♥ 9♠ Q♦ 2♣ 5♥ 8♠ J♦
Quick Calculation

Finding Any Card

If a spectator cuts to a card, say the 7 of Hearts, you immediately know:

  • Next card: 10 of Spades (7+3=10, next suit)
  • Card after: King of Diamonds (10+3=13)
  • Card after: 3 of Clubs (13+3=16, wrap to 3)

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Method Two

The Eight Kings Stack

An older system still, the Eight Kings stack stores the entire deck order inside a single memorable sentence. No arithmetic required: the words directly encode the card values.

The Mnemonic Phrase

"Eight Kings Threatened To Save Ninety-Five Ladies For One Sick Knave"

Eight8
KingsK (13)
Threatened3, then 10
To2
Save7
Ninety-five9, then 5
LadiesQ (12)
For4
OneA (1)
Sick6
KnaveJ (11)

Two words carry a hidden second value: "Threa-ten-ed" gives 3 and 10, and "Nine-ty-five" gives 9 and 5. That yields the complete 13-value cycle: 8, K, 3, 10, 2, 7, 9, 5, Q, 4, A, 6, J.

Suit Rotation
Suit Order

The Eight Kings system typically uses the same suit rotation as Si Stebbins, though some performers choose a different order. The standard rotation is:

♣ Clubs♥ Hearts♠ Spades♦ Diamonds

Beginning with a club and cycling through, the suits pair naturally with the mnemonic phrase to give every card in the deck a unique position.

The Start of the Sequence

The Eight Kings sequence begins at the top of the deck:

8♣ K♥ 3♠ 10♦ 2♣ 7♥ 9♠ 5♦ Q♣ 4♥ A♠ 6♦ J♣ 8♥ K♠ 3♦ 10♣ 2♥ 7♠ 9♦ 5♣ Q♥ 4♠ A♦ 6♣ J♥

The pattern continues through all 52 cards, running the mnemonic phrase four times through the suit cycle.

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Side by Side

Comparing the Two Stacks

Both systems give knowledge of the deck. Here is how they differ in practice.

FeatureSi StebbinsEight Kings
Memory methodArithmetic (+3 rule)Mnemonic phrase
Learning curveVery fast, one formulaModerate, phrase memorization
Pattern detectabilityRegular interval, detectable by math-savvy spectatorsIrregular intervals, harder to spot
Mental calculation speedInstant, pure additionRequires phrase recall
Suit rotationCHSD (standard) or performer's choiceCHSD (standard) or performer's choice
Age / originIn print since 1593; popularized by Si Stebbins in 1896Pre-1900, traditional
Cut resistanceSurvives complete cuts; Overhand Shuffle cuts; and any false shuffle that keeps the order of all 52 cards intactSame with practice
Best forMental magic, rapid-fire effectsClose-up, organic-feeling routines
Common Questions

When to Use Each System

The right stack depends on your performance style, your audience, and how you prefer to think under pressure. These answers help you decide.

The Si Stebbins system is a cyclical stacked-deck arrangement in which each card is exactly 3 values higher than the previous one and the suits rotate in the fixed order Clubs, Hearts, Spades, Diamonds. It allows a magician to calculate the identity and position of any card using simple addition.

The Eight Kings stack uses a mnemonic phrase to recall card values in a specific order: Eight Kings Threatened To Save Ninety-Five Ladies For One Sick Knave, which encodes the values 8, K, 3, 10, 2, 7, 9, 5, Q, 4, A, 6, J. The suits follow a fixed rotation, making the full deck order memorizable without arithmetic.

Beginners are usually better served by the Si Stebbins system. Its single rule, add 3 and rotate suits, means you can learn the entire system in an afternoon and start calculating card positions immediately. Eight Kings requires memorizing a phrase and mapping it to values, which takes longer to become automatic.

Yes. The Si Stebbins stack has a perfectly regular mathematical interval between every card, so a mathematically inclined spectator who glimpses several cards in sequence could potentially spot the pattern. The Eight Kings sequence is irregular enough that it looks more like a genuine shuffle to the untrained eye.

No. A deck can only be in one stacked order at a time. You would need two separate decks, one set up in Si Stebbins order and one in Eight Kings order, if you want to alternate stack systems in the same show.

Yes. Both stacks work with any standard, full 52-card deck regardless of brand, back design, or color. The stack is defined purely by the order of the cards, not by any marking or gimmick on the cards themselves.