Don't be misled by the title of this effect. It is not a new mathematical method. This is a purely sleight-of-hand effect. However, it uses the Fibonacci sequence as a presentational tool.
The magician explains the idea of Fibonnacci's Numbers which are numbers in the following integer sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... (every next number is a sum of two previous numbers). This sequence appears in many spheres such as: art, nature, science...
Performer introduces a deck of cards in random order. The card is freely selected by the spectator. Before the card is placed back in the deck two jokers are introduced as cards that make this trick harder to do. The jokers and the selection are inserted into different places in the pack of cards.
The new order of the deck, while revealing one by one, looks similar to Fibonacci's Numbers: Ace, Ace, Two, Three, Five, Eight, King... When magician wants to reveale second 4-digit number in the sequence, he is unable to do so because he has only three cards – two jokers sandwiching selection.
1st edition 2011; 10 pages.
word count: 1571 which is equivalent to 6 standard pages of text