

Brad Ballew New user Nashville, TN 74 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, Magdeburg 341 Posts 
The Gerats Principle by by Ferry Gerats
http://www.lybrary.com/thegeratsprinciplep892786.html
Melencolia I  Magic Squares for the Mental Entertainer * Smart Methods for 4x4 and 5x5 Magic Squares * 120 A4pages

saxonia New user 82 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 82 Posts 
I forget to mention Colm Mulcahy's "Mathematical Card Magic". It also includes a section on the Triskadequadra principle.

hcs Veteran user Germany, Magdeburg 341 Posts 
Quote: And his book
On Jan 22, 2019, saxonia wrote: Colm Mulcahy: "New Mathematical Principles Applied to Card Tricks"
Melencolia I  Magic Squares for the Mental Entertainer * Smart Methods for 4x4 and 5x5 Magic Squares * 120 A4pages

Brad Ballew New user Nashville, TN 74 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 4808 Posts 
In my Magica 14 books I haved developed some terrific effects using the Chinese Remainder Theorem.
Click here for more info 
Hushai Elite user St. Louis, Missouri, USA 424 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.

Brad Ballew New user Nashville, TN 74 Posts 
I was messing around with one of my favorite principles yesterday and sort of stumbled upon a new effect... well new to me at least. I haven't seen this anywhere else... yet. I am calling it the "Anti Card Trick" It's a methodical, precise trick that takes place completely in the spectator's hands. It's very direct and impossible. There is no way anyone could backtrack it or figure out how it's done unless they were pretty familiar with this principle... and this is not a principle well known among lay people. In fact, the only other way I could see this effect being achieved would be to use a confederate. This is exactly what I love about these types of effects/principles. When utilized right, they can create something utterly impossible.
I am going to work on it more and perform for a while and may share it in the secret area once it's been road tested. This is my 50th post, so now I can finally visit the secret area. 
Hushai Elite user St. Louis, Missouri, USA 424 Posts 
Quote:
On Feb 18, 2019, Brad Ballew wrote: Sounds great! I would love to know more. 
Brad Ballew New user Nashville, TN 74 Posts 
Quote:
On Feb 19, 2019, Hushai wrote: I'll be showing it to some pro card guys tonight, so it will interesting to see if they can catch on to the method. I had an epiphany today that I could add another layer of shuffling before the card is selected. Not a controlled shuffle but a genuine do whatever you want shuffle. This addition might even make it hard for people who know the principle. It still needs road testing but I can't wait to share this once it's been through a good vetting. 
captainsmiffy Special user UK, resident UAE 586 Posts 
Brad, I would also be very interested to hear of what you have come up with at some point. Please keep us posted.
Best Martyn Smith
Have you tried 'Up The Ante' yet?? The ultimate gambling demo....a selfworking wonder! See the reviews here on the cafe.

Ben Blau Inner circle 1439 Posts 
Both of my books, as well as Unfazed, contain quite a bit of this sort of thing.
Ben Blau
http://www.benblaumentalism.com 
Chris K Inner circle 2215 Posts 
Quote:
On Mar 21, 2019, Ben Blau wrote: In terms of application of these types of concepts, Ben Blau's work definitely has some great approaches. A few of which were very reminiscent of John Bannon, who has also been mentioned here. Going back to Ben Blau, for example, his 12th of Never (I believe that is the name) is a great combination of principles many people may be familiar with but with a great premise and approach. If you are more interested in the nature of the math principles themselves, this is a book on theory, giving some examples how it is applied in magic: Magical Mathematics: The Mathematical Ideas That Animate Great Magic Tricks https://www.amazon.com/gp/product/0691169772 
maratekin Regular user 146 Posts 
Where can I find “New Mathematical Principles Applied to Card Tricks"?
Thanks  Mark 
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