Abstract
Imagine a deck of new cards perfectly sequenced from One of Clubs to the Ace of Spades. Shuffle once (overhand method), and most cards are still in order, e.g., ... 9, 10, Jack, King, Queen, Ace of Spades. Shuffle twice, three times, and so on and more and more randomness is introduced into the deck. Cards that are juxtaposed next to one another, e.g., King and Ace of Spades will likely travel together through multiple shufflings as a card has to be precisely inserted between the two for the arrangement to be disrupted. But, the One of Spades is likely to fall out of sequence relative to the Ace of Spades early in the shuffling process as the likelihood that a random card is inserted between a One and Ace is quite high. Thus, even in a simple game of cards, near neighbors travel together for longer periods of time and much more shuffling is required to separate the two than far neighbors.
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