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The Fibonacci Sequence is a series of numbers starting with (0,1) that continue on by adding the previos two numbers together. This is one of the many elements to figuring out which card is where in the deck, and whether or not to bet or fold.
The Golden Spiral is a spiral made by crossing through the corners of the Fibonacci Rectangle. It forms a perfect spiral representation of the Fibonacci Series.
In the movie, Alan decides their best chance to make some money is to use a technique in Blackjack called "counting cards"
This is also reffered to as "The Golden Ratio."