

Brad Ballew New user Nashville, TN 38 Posts 
I have always been fascinated by the mathematical principles used in card magic. I am looking to dive a little bit deeper into these different principles and to see if there are any I've missed.
Here's what I've read up on: The Gilbreath Principle: I have used "Up the Ante", "Mockingbird", and "Three Degrees" ... Always interested in more recommendations Triskadequadra Principle: Very clever, and more straightforward than Gilbreath when it comes to the shuffle. I have only read about this in John Hostler's book. Has anyone else explored this principle in other literature? Cato, Catto, Parity Principle (All the same I think?) The only one I have ever really messed with is "Degrees of Freedom", which I love. However, I would love to explore this more and find more effects that use this principle. UnDo Influence ( A bit different from the above, but a very clever bit of handling ) I have "Try the Impossible" but nothing else that deals with this idea. Endless Chain: I know that I have read a couple of tricks that have used this but I can't think of their names off the top of my head. One, in particular, involved divining several court cards one at a time from a shuffled deck. Doesn't necessarily have the complicated workings of some of the above, but will completely fly over a spectator's head. A simple idea that no one will ever think of. Any other interesting principles along these lines or any new literature released on this stuff that might not be mentioned in the older threads? 
hcs Veteran user Germany 318 Posts 
The Gerats Principle by by Ferry Gerats
http://www.lybrary.com/thegeratsprinciplep892786.html
Low Vision Marking System * Melencolia  a balanced 4x4 magic square. I love the method because of its simplicity. Even better: Once learned the method is impossible to forget and you can do it under fire!
http://www.lybrary.com/melencoliap921956.html or at ozmd@solka.de Euphoria  an associative 4x4 magic square for any magic sum and any cell for the lowest or highest number selected by a spectator, using a sequence of 16 numbers and skipping only one single number in the case of a doublyeven or odd total! 
saxonia New user 65 Posts 
A great source is the book "Card Concepts" which covers exactly this topic.
Its contents is listed at https://magicref.net/magicbooks/booksjr/......epts.htm Another good source (and much cheaper) is "Magical Mathematics" by Persi Diaconis and Ron Graham. 
saxonia New user 65 Posts 
I forget to mention Colm Mulcahy's "Mathematical Card Magic". It also includes a section on the Triskadequadra principle.

hcs Veteran user Germany 318 Posts 
Quote: And his book
On Jan 22, 2019, saxonia wrote: Colm Mulcahy: "New Mathematical Principles Applied to Card Tricks"
Low Vision Marking System * Melencolia  a balanced 4x4 magic square. I love the method because of its simplicity. Even better: Once learned the method is impossible to forget and you can do it under fire!
http://www.lybrary.com/melencoliap921956.html or at ozmd@solka.de Euphoria  an associative 4x4 magic square for any magic sum and any cell for the lowest or highest number selected by a spectator, using a sequence of 16 numbers and skipping only one single number in the case of a doublyeven or odd total! 
Brad Ballew New user Nashville, TN 38 Posts 
So I think I may have found my new favorite Gilbreath trick:
"The Lone Stranger"  The Card Magic of Nick Trost I made a couple of tweaks to keep almost completely hands off. I also have a better motivation for removing the 2 cards and the spectator is the one who does it. The 2 removed cards come back in play at the end so it doesn't seem like they were removed for no real reason. In fact the only time the performer handles any cards in my version is when he gets his half of the deck at the end. I think this trick is a real miracle when you keep it completely hands off. I can't see how anyone would be able to even begin to wrap their head around it. 
Larry Barnowsky Inner circle Cooperstown, NY where bats are made from 4775 Posts 
In my Magica 14 books I haved developed some terrific effects using the Chinese Remainder Theorem.
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Hushai Elite user St. Louis, Missouri, USA 415 Posts 
How about the Automatic Placement? John Bannon's book Destination Zero has some great tricks using this principle. Also see Rick Lax's "Where It Has to Go" available from Penguin. And tricks in Karl Fulves's "SelfWorking Card Tricks" books, such as "Hidden Power" in My Best SelfWorking Card Tricks. And Peter Duffie's "Psychic Math" in his book Cards Insight.

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