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sjrw Special user 571 Posts |
Hello guys.
Any mathematicians around? I've been working with a stack recently which I feel must have a mathematical relationship between each card (some formula to know the next card). I'm basically starting from a variation of new deck order and then performing a number of faros. Do you think I'm correct in thinking that there must be a mathematical relationship? And can you suggest how I would go about calculating it? Thanks, Sam |
Ian Richards Loyal user 226 Posts |
Richard Osterlind's Breakthrough Card System may provide some information on how to do this.
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ddyment Inner circle Gibsons, BC, Canada 2499 Posts |
All card sequences can be described mathematically; the challenge is to find a sequence with a simple mathematical relationship.
There is nothing on this in Osterlind's "Breakthrough" book: he freely admits that he did not know if his collection of "rules" would work until he laid the cards out on a table. Nothing wrong with this, of course, but the system was developed heuristically, not mathematically.
The Deceptionary :: Elegant, Literate, Contemporary Mentalism ... and More :: (order "Calculated Thoughts" from Vanishing Inc.)
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alecStephenson New user 69 Posts |
For the 8 out faro sequence it's fairly straightforward.
It is easiest to think in the reverse direction (antifaro). Then your "key" numbers just double: 1(do nothing), 2 (one anti), 4 (two antis),8,16,32,13,26. You work in modulo 51 ("casting-out" 51s) so 32 doubled is 64-51=13. So in the faro direction you get key numbers: 26,13,32,16,8,4,2,1. It should be clear from there. Just remember to cast-out 51s (except for the 52nd card, which always stays last). If you want to cut the cards and use the maths then you are better off with a 51 (or 53) card deck. |
tom_stamm Loyal user Los Angeles 248 Posts |
If you get yourself a copy of "The Cardiste" by Rusduck, you may want to read about Alex Elmsley's Re-Stacking Pack (pp.130-131). There is a discussion on the position of the cards as the move through each out-faro in side fixed cycles. I worked them out on a spreadsheet.
Frankly, I believe it is easier to learn a memDeck than to learn these cycles (by position) then reference the to a card value. PM me if yoou want to see the gory details.
Just Some Guy.
"For Seven Tons of the King's Tea, Six Fine Ladies to Fight a Great Jackass -- me." |
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