The 7-Eleven Card Trick (Absolute Math Magic 💎)

The Discovery that Changed the World of Card Magic!

While researching the properties of Cyclic, Mirrored, and AMP structures, I discovered two CMA sequences of length 8 (here referred to as "Bessey sequences of order 8") that yield packet structures of playing cards that are invariant (up to inversion) under virtually every systematic mixing procedure used today!

I have since discovered that Bessey sequences (of order 8) are special truncations of the famous Thue-Morse sequence, which is an infinite sequence of 0's and 1's that possesses (among other qualities) a fractal structure.

Furthermore, I have discovered an infinite number of truncated portions of the Thue-Morse sequence that yield packet structures of 2^n playing cards (for n odd) that exhibit the same degree of invariance as Bessey sequences of order 8 (relative to the aforementioned systematic mixing procedures).

Here, on my YouTube channel, all such sequences are referred to as Bessey sequences of order 2^n, where n is required to be an odd natural number.

Fortuitously, I also discovered that truncations of length 2^n (for n even) of the Thue-Morse sequence give rise to packet structures of playing cards that are endowed with much but not the same degree of invariance enjoyed by Bessey sequences of order 2^n, for n odd. Such sequences have been christened "Quasi-Bessey sequences" of order 2^n, where n is even.

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Kudos to Werner Miller for designing the dealing & spelling sequences that convert a Bessey sequence of 8 cards into dichotomous blocks of four cards each or vice versa.