Number of Modified Perfect Faro Shuffles to return Deck of Cards to Original Order/Examples

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Examples of Use of Number of Modified Perfect Faro Shuffles to return Deck of Cards to Original Order

Deck of 6 Cards

Let $D$ be a deck of $6$ cards.

Let $D$ be given a sequence of modified perfect faro shuffles.

Then after $3$ such shuffles, the cards of $D$ will be in the same order they started in.


Deck of 8 Cards

Let $D$ be a deck of $8$ cards.

Let $D$ be given a sequence of modified perfect faro shuffles.

Then after $6$ such shuffles, the cards of $D$ will be in the same order they started in.


Deck of 12 Cards

Let $D$ be a deck of $12$ cards.

Let $D$ be given a sequence of modified perfect faro shuffles.

Then after $12$ such shuffles, the cards of $D$ will be in the same order they started in.


Deck of 52 Cards

Let $D$ be a deck of $52$ cards.

Let $D$ be given a sequence of modified perfect faro shuffles.

Then after $52$ such shuffles, the cards of $D$ will be in the same order they started in.


Deck of 62 Cards

Let $D$ be a deck of $62$ cards.

Let $D$ be given a sequence of modified perfect faro shuffles.

Then after $6$ such shuffles, the cards of $D$ will be in the same order they started in.

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