

glowball Special user Nashville TN 936 Posts 
Tritium stack challenge
I would like some of the computer/software experts out there to come up with a deck/stack that can do a three card "Suitability" trick and do a six card "eyes closed if red suit" trick, both tricks using the same deck. I would like this stack to be expressed in this thread with the digits one through four (1 = spades, 2= hearts, 3= clubs, 4 = diamonds) thusly: As an example: My Hamilton stack "eyes closed if red suit" de Bruijn is based on the following deBruijn from jmbulg: 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0,1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0 But I moved the first 13 bits (cards) to the bottom thus making what was the 14th bit the first bit of the 52 bits and I flipped all the bits (the ones became zero, and the zeros became one). This means the black suit cards are the "1"s and the red suit cards are the "0"s. Don't ask me why because I have forgotten, but there was a reason and that's the way it is. So here is the "eyes closed if red suit" deBruijn that I am currently using: 1010110011 1110001011 1010010100 0110000011 1001001101 10 Let's just refer to the above as the "Red Suit Base deBruijn". Below is my Hamilton stack expressed in terms of suits (note that it is consistent with the Red Suit Base deBruijn). Note that the red suits are binary zero in the above deBruijn. 3434112213 1114223213 1434214322 4334424433 1421423121 32 But this suit arrangement will not do a three card "suitability" nor will it do a four card "suitability". If we can rearrange the suit order (but keep the red suits in the same positions and the black suits in the same positions) and achieve a three card suitability pattern then this would be one powerful mem deck! This would then be called the "Tritium Stack". I would suggest starting with the above deBruijn pattern of ones and zeros because it has a very nice mixture, but it is okay to come up with a completely different deBruijn sequence of ones and zeros (as long as it works for the eyes closed if red suit trick) in order to make the "suitability" pattern viable. Some of you may have software that can go through thousands of combinations of deBruijns versus "Suitability" patterns to see if you can find a 3 card "Suitability" pattern that also satisfies a six card deBrujin pattern. The winner (first to post the solution) gets bragging rights as the cocreator of the Tritium Stack. If there are multiple solutions submitted then maybe we could call them TritiumA, Tritium  B, TritiumC, and so on.  
glowball Special user Nashville TN 936 Posts 
Why the word "Tritium"? The word Tritium has the "Tri" in the first part of the word and the "Suitability" feature uses three ("tri") cards dealt. Also Tritium is a unique powerful radioactive isotope of hydrogen. So we have a unique powerful stack magicians can do something with that no other stack can do.
Also it is convenient to have a simple unique name "Tritium" so that future readers of this thread will know exactly what stack we are talking about. Reminder that the solution needs to be posted in the following type of format: 3434112213 1114223213 1434214322 4334424433 1421423121 32 But of course it will be an entirely different sequence. There must be thirteen "1"s, thirteen "2"s, thirteen "3"s, thirteen "4"s. If you are so inclined, please help create this stack. Thanks much. Larfin glowball. 
glowball Special user Nashville TN 936 Posts 
Once we have a proper solution expressed by the numbers 1 through 4 then we have a lot of freedom as to which particular cards go into these positions as long as they are of the correct suit.
This means we can easily have a 10 card Jonah sequence built in when we come to assigning the specific cards to the specific positions. 
jmbulg Loyal user Belgium 212 Posts 
4122233441
3231143142 4433322123 2414442243 2112141133 13 Goody: With the same stack, you can also play a game with FOUR participants and a question on whether their cards could be part of a royal flush (A,K,Q,J,10) or are very low values (2,3,4,5) or medium cards (6,7,8,9). Just put the values of these three groups (0 for the high values 1 and 2 for medium/low or low/medium) with the following pattern (respecting the suit pattern of the Tritium stack, so the first cards should be a royalflush card of suit 4). Knowing four consecutive group identities allows to know where you are in the stack. 0201101012 0010020002 1210112120 2211120102 0210000122 22 
jmbulg Loyal user Belgium 212 Posts 
A version with less repeated suits and colors:
2434121241 4431221313 3242441343 3422331421 4114321132 32 and another goody: with four participants and three groups ("picture cards? 0) and for the remaining non picture cards: even or odd 1/2 or 2/1) 2220202121 2011110210 1012110112 1002212211 1202222102 01 
glowball Special user Nashville TN 936 Posts 
To jmbulg:
This is great! Thank you, thank you, thank you! Winner winner chicken dinner! Your sequence of suit numbers is very valuable: 4122233441 3231143142 4433322123 2414442243 2112141133 13 The above representations of the suits (note that odd numbers are black suits and even numbers are red suits or could be vice versa) will allow the creation of a gazillion different stacks that will be able to do a six cards dealt "eyes closed if red suit" DeBruijn and can also do a 3 card dealt "suitability" trick! To my knowledge this is the first such pattern. To all reading this thread please print off the above 52 digits and save it somewhere in case we ever lose the Magic Cafe. Here is my first application: Since this is a wrapping sequence you can cut the deck/sequence anywhere so I elected to move the card at position 52 (which is a club) up to become the first card just so I could have the Four of Clubs as the first card because my wife and I have used the 4C as the mentalism force card so I want to have it handy. I know I could have treated the "4"s and the "2"s as clubs and spades and the "1"s and "3"s as diamonds and hearts and thus have the Four of Clubs as the first card that way, but it was easier to keep the jmbulg solution and just move one position. My first application TritiumJmLf1: 4C, 6D, 8S, 9H, QH, 7H, 5C, AC, 4D, 2D, 10S, 3C, 5H, 6C, JS, 5S, KD, JC, 6S, JD, 6H, 5D, 3D, 8C, QC, 10C, 4H, 8H, 3S, JH, 7C, AH, 8D, KS, 7D, 10D, 9D, KH, 3H, AD, 9C, 2H, QS, 2S, 10H, 4S, QD, 9S, AS, 2C, KC, 7S I have a 10 card (2 handed, five cards each) Jonah routine built in using the five of hearts through the five of diamonds. Translating jmbulg suits into deBruijn bits of ones and zeros (red suits are one, black suits are zero): 10111 0011001 0001 00 1111 000 11 010110 111111 0100 101 000000 And I moved bit 52 around to become bit number one: 010111 0011001 0001 00 1111 000 11 010110 111111 0100 101 00000 I haven't had a chance to fully test everything but will do. Note that jmbulg has been very good at everything he's submitted so I'm assuming this all works. Happy as a lark thanks to jmbulg! glowball. PS: I just saw jmbulg 2nd post and may work with it.  
jmbulg Loyal user Belgium 212 Posts 
Even more balanced looking version:
1314344112 4433234122 4142121413 2213343123 1342324243 21 with no sequence of three cards of the same suits, no sequence of 6 or 5 cards of the same color. Goody version with three groups (pictures, even numbers, odd numbers) with only one sequence of four cards of the same group (numbers) 2012021120 0121221112 1102002210 2101222022 2120111101 12 
glowball Special user Nashville TN 936 Posts 
Note: TritiumJm1Lf1 stack:
I did NOT accommodate the phishing feature of: Royal flush/low cards/medium cards, but did accommodate the six card red suit DeBruijn feature and did accommodate the three card suitability feature. I also created two sorted cheat sheets (one for the "six cards dealt eyes closed" if red suit, and another cheat sheet for the three cards dealt suitability trick) and everything worked perfectly. However jmbulg's newer TritiumJm2 suit pattern looks even better, and I especially like the odd number cards versus even number cards phish capability better than the low cards versus medium cards phish. It's amazing how much he's got packed into the TritiumJm2 suit sequence pattern: 1. Suitability with three cards dealt. 2. Eyes closed if red suit six cards dealt. 3. Phish court cards, odd, even (four cards dealt). We can probably finesse a 10 card Jonah sequence into it. Another nice thing about his Jm2 version is that when doing the "eyes closed if red suit" trick you will never have all six people with their eyes closed nor all six people with their eyes open which would look bad (you will have at least one person that is different, and most of the time a good mixture). I definitely plan to create a stack based on his Jm2 pattern and plan to create two sorted cheat sheets for it. If all goes well, I plan to memorize the whole stack (sequence and card positions). I will call the stack TritiumJm2Lf2. Will probably also memorize the cheat sheet for the six cards dealt "eyes closed if red suit" trick. Will probably stick with a cheat sheet for the three card suitability trick because I've got a unique cheat sheet method (completely different from Larsen and Wright's) that will make it super fast at performance time.  
jmbulg Loyal user Belgium 212 Posts 
Final (?) version, now also the goody version well balanced (no situation with four cards of the same group)
2113213322 1242323131 4144243241 2344134312 1434114223 34 2201202212 0110021222 1110112121 0122100121 1021122021 02 
glowball Special user Nashville TN 936 Posts 
TritiumJm3 from jmbulg. Great again!
To all: The above "goody" pattern: the "0"s are the face cards. The "1"s are the odd numbered cards, the "2"s are the even number cards (or you could use vice versa). Here is the TritiumJm3 notation combined with the "goody" feature. Note that I have used the following two character notation convention: First character will be one of three characters: F or O or E (Face card, Odd number, Even number). Second character will be the suit: S, H, C, D (Spades, Hearts, Clubs, Diamonds). TritiumJm3 card pattern: EH, ES, FS, OC, EH, FS, EC, EC, OH, EH, FS, OH, OD, FH, FC, EH, OC, ES, EC, ES, OD, OS, OD, FD, OH, OD, EC, OH, ED, OS, FH, OC, ED, ED, OS, FC, FD, OC, ES, OH, OS, FD, EC, OD, OS, ES, ED, FH, EH, OC, FC, ED Print/save the above pattern because it is very valuable! Remember all the things that a stack based 100% on this incredible pattern can do! Of course you could flipflop the red suits for the black suits and you could also flipflop the even numbers for the odd numbers, but keep it simple and just use the above pattern. There are a gazillion stacks that will fit the above pattern. None currently exist (unless someone has created one in the last few days). I will create one shortly.  
glowball Special user Nashville TN 936 Posts 
Here is the red suits versus the black suits deBruijn to be used with the six cards dealt trick:
0111011100 1000101111 0100001001 0100110110 1010110001 10 The above deBruijn is just for reference so I can see any clumping of suit colors and all in all it's about as disperse as you can get.  
glowball Special user Nashville TN 936 Posts 
Here is my Jm3Lf2 stack (has a 10 card Jonah sequence after the 7S ie: 4S thru JS):
6H, 6S, JS, 7C, 2H, KS, 8C, 2C, AH, 10H, QS, 7H, 9D, KH, QC, 8H, AC, 8S, 10C, 2S, AD, 9S, 5D, KD, 3H, 7D, 4C, 5H, 2D, AS, QH, 5C, 8D, 10D, 3S, KC, JD, 3C, 10S, 9H, 5S, QD, 6C, 3D, 7S, 4S, 6D, JH, 4H, 9C, JC, 4D The stack I want to memorize will be the above sequence but the top card will be the 4C (just cut the above deck so the 7D is on the bottom and keep the deck that way when doing memdeck positional tricks). TritiumJm3Lf3 stack (notice that the stack above I'm calling it Lf2 whereas the below Stack I'm calling Lf3): 4C, 5H, 2D, AS, QH, 5C, 8D, 10D, 3S, KC, JD, 3C, 10S, 9H, 5S, QD, 6C, 3D, 7S, 4S, 6D, JH, 4H, 9C, JC, 4D, 6H, 6S, JS, 7C, 2H, KS, 8C, 2C, AH, 10H, QS, 7H, 9D, KH, QC, 8H, AC, 8S, 10C, 2S, AD, 9S, 5D, KD, 3H, 7D Of course the deck can be cut anywhere when doing the six card "eyes closed if red suit" trick or doing the three card "Suitability" trick, or doing the four card "goody" trick. Of course if doing the 10 card Jonah trick then cut the deck so the 7S is the bottom card of the deck (note that the 9C is the Jonah card). Before I memorize TritiumJm3Lf3 above, I plan to develop cheat sheets for all its features and test everything out. Once tested/proven then I plan to memorize the thing and make it my main performance deck. 
glowball Special user Nashville TN 936 Posts 
Octal Crib sheet for TritiumJm3Lf3 to know identity of first card of six cards dealt (of course you must have the whole stack memorized in order to know the other five cards):
Each octal digit is 4+2+1 (if red suit): 02=AC..20=QC..30=JC..45=JD..61=4D 04=6S..21=7C..31=5C..46=4H..62=8D 05=8S..22=KC..32=4C..47=3D..63=JH 06=KS..23=6C..33=2C..50=KH..64=9D 10=JS..24=5S..34=4S..51=QD..65=5H 11=3S..25=TS..35=QS..52=9H..66=3H 12=3C..26=AS..36=9S..53=2D..67=AH 13=TC..27=2S..41=8H..54=QH..71=6D 14=9C42=6H..55=7D..72=7H 15=8C43=2H..56=TH..73=KD 16=7S44=TD..57=AD..75=5D Reminder about the six cards dealt that the first three cards if a red suit add up to make the first octal digit and the second three cards if a red suit add up to make the second octal digit. Of the three cards: The first one dealt is worth 4 points (If it is a red suit), the second card dealt is worth two points (If it is a red suit), the third card dealt is worth one point (If it is a red suit). Add the three values to know the first octal digit. You do the same thing for the second three cards to know the second octal digit. This becomes very easy and you will recognize the three card pattern that make the octal value of 0 thru 7, but of course you have to ask the 6 spectators to indicate that they have a red suit by holding up their hand, or standing up, or stepping forward, or closing their eyes or something. You mentally segregate the six spectators into two groups of three in order to mentally form the two octal digits. For those who may want to use the stack but do not want to memorize the stack, I plan to post the same crib sheet as above but with all six cards for each octal code. Because there will be six two character card names after each equal sign, this means the crib sheet will be much bigger and also harder to perform because you will have to glance at it multiple times (few magicians can remember all six cards with one glance at the crib sheet). Memorizing the stack and using the smaller crib sheet above is the better way. Even better still is to memorize the stack and memorize the small crib sheet, which I plan to do. Also I am working on a crib sheet for the three cards dealt suitability trick and another crib sheet for the goody trick and plan to post them here.  
glowball Special user Nashville TN 936 Posts 
TritiumJm3Lf3 crib for 6 cards dealt Octal red suit trick (all six cards shown):
02=AC,8S,TC,2S,AD,9S 22=KC,JD,3C,TS,9H,5S 04=6S,JS,7C,2H,KS,8C 23=6C,3D,7S,4S,6D,JH 05=8S,TC,2S,AD,9S,5D 24=5S,QD,6C,3D,7S,4S 06=KS,8C,2C,AH,TH,QS 25=TS,9H,5S,QD,6C,3D 10=JS,7C,2H,KS,8C,2C 26=AS,QH,5C,8D,TD,3S 11=3S,KC,JD,3C,TS,9H 27=2S,AD,9S,5D,KD,3H 12=3C,TS,9H,5S,QD,6C 30=JC,4D,6H,6S,JS,7C 13=TC,2S,AD,9S,5D,KD 31=5C,8D,TD,3S,KC,JD 14=9C,JC,4D,6H,6S,JS 32=4C,5H,2D,AS,QH,5C 15=8C,2C,AH,TH,QS,7H 33=2C,AH,TH,QS,7h,9d 16=7S,4S,6D,JH,4H,9C 34=4S,6D,JH,4H,9C,JC 20=QC,8H,AC,8S,TC,2S 35=QS,7H,9D,Kh,QC,8h 21=7C,2H,KS,8C,2C,AH 36=9S,5D,KD,3H,7D,4C  41=8H,AC,8S,TC,2S,AD 56=TH,QS,7H,9d,Kh,QC 42=6H,6S,JS,7C,2H,KS 57=AD,9S,5D,KD,3H,7D 43=2H,KS,8C,2C,AH,TH 61=4D,6H,6S,JS,7C,2H 44=TD,3S,KC,JD,3C,TS 62=8D,TD,3S,KC,JD,3C 45=JD,3C,TS,9H,5S,QD 63=JH,4H,9C,JC,4D,6H 46=4H,9C,JC,4D,6H,6S 64=9D,KH,QC,8H,AC,8S 47=3D,7S,4S,6D,JH,4H 65=5H,2D,AS,QH,5C,8D 50=KH,QC,8H,AC,8S,TC 66=3H,7D,4C,5H,2D,AS 51=QD,6C,3D,7S,4S,6D 67=AH,TH,QS,7H,9D,KH 52=9H,5S,QD,6C,3D,7S 71=6D,JH,4H,9C,JC,4D 53=2D,AS,QH,5C,8D,TD 72=7H,9D,Kh,QC,8h,AC 54=QH,5C,8D,TD,3S,KC 73=KD,3H,7D,4C,5H,2D 55=7D,4C,5H,2D,AS,QH 75=5D,KD,3H,7D,4C,5H Note that the cafe editing software and my Google docs and Google keep software don't line up too well but the information is accurate. I had every other line in bold notation and better spacing but the cafe software stripped it. 
glowball Special user Nashville TN 936 Posts 
TritiumJm3Lf3 Suitability 3 cards dealt Sorted Crib Sheet:
The 3 spectators tell the magician the suit of their card. The magician secretly peeks at the Below crib sheet and names the 3 cards. The letter is the first card suit. The second and 3rd card use SHoCkeD to form the 2 digits in front of the equal sign. SHoCkeD: Spades=1, Hearts=2, Clubs=3, Diamonds=4. Note that SHoCkeD is easy because of lobes/points. C12=3T9 C13=A8T C14=T2A C21=72K C22=2AT C23=Q8A C24=452 C32=82A C34=9J4 C41=637 C42=J46 C43=KJ3 C44=58T D11=374 D12=2AQ D13=T3K D14=A95 D21=466 D22=6J4 D23=9KQ D24=K37 D31=J3T D32=745 D34=Q63 D41=8T3 D42=5K3 H11=66J H12=TQ7 H13=2K8 H14=95Q H21=ATQ H23=J49 H31=8A8 H32=KQ8 H33=49J H34=Q58 H41=52A H42=79K H43=374 S13=6J7 S14=746 S21=T95 S23=AQ5 S24=Q79 S31=8T2 S32=J72 S33=K82 S34=3KJ S41=2A9 S42=46J S43=5Q6 S44=95K Print off the above crib list and then cut the list into the 4 suit groups of 13 and glue somewhere (front of the tuck case, or back of ad card, or on a clip board etc. where you can secretly glance at it after they name their suits. Note that after you look down to the proper row there are only 3 characters after the equal sign which makes it very easy to silently repeat to yourself those 3 characters (those are the 3 cards, you are no longer concerned about the suit because they have told you the suit). You use the 3 suits to find the proper row, but once found you concentrate on the 3 characters after the equal sign. Example: The deck was cut several times (by a neutral person) and then 3 cards dealt face down to 3 spectators who each look at their card. The magician asks for the suit name from each spectator. Spectator 1 says "Clubs". Spectator 2 says "Clubs". Spectator 3 says "Diamonds". Based on those 3 suits he magician thinks "C34" then secretly looks down the crib sheet to see the C34 row and then sees "9J4" and mentally keeps repeating "9J4" over and over. The magician can reveal the 3 cards in any order. I like to start with the 2nd person. In this example: "Sir, I see a high card, it is the Jack, what was your suit? Clubs, oh yes the Jack of Clubs". Then the third person "the Four of Diamonds". Then the first person "You are thinking of a Nine, what was your suit? Oh yes the Nine of Clubs". 
Bill Hallahan Inner circle New Hampshire 3230 Posts 
In my book, Mathematical Stacks, the Suit Bracelet Stack in chapter four, supports both three suits identifying a card as in Larsen and Wright's trick named Suitabiliy, and also supports a sixcard redblack binary bracelet code.
The Two Suits Suitability Stack in chapter six, supports three suits identifying a card, and also any two suits chosen also form a sixcard binary bracelet code.
Humans make life so interesting. Do you know that in a universe so full of wonders, they have managed to create boredom. Quite astonishing.
 The character of â€˜Deathâ€™ in the movie "Hogswatch" 
glowball Special user Nashville TN 936 Posts 
Wow! Didn't know that! Well, one thing that Tritium has that may be different (not sure) from Bill Hallahan's stacks is that the Tritium stack also has a 10 card Jonah routine builtin.
If I had known about Bill's stacks I probably would not have pursued Tritium and just used one of his stacks as my main mem deck supplanting Aronson. Recently Bill sent me a copy of his stuff and I only had time to read one part which was how to present a three card suitability. This alone is worth the price of his book. So I highly recommend anybody who's doing the suitability trick with three cards (or other deBruijn type stacks) to get Bill's book. I think you can get it on lybrary.com. If you are doing the suitability trick for a lay audience imo they will not have a clue because there is no hint of a pattern with the presentation that Bill outlines. Bill, if you are out there could you verify where to buy Mathematical Stacks and post it here? Thanks. 
Chris Inner circle lybrary.com 1189 Posts 
"Mathematical Stacks" by Bill Hallahan https://www.lybrary.com/mathematicalstacksp926418.html
A very interesting ebook, if I may say so myself.
Lybrary.com preserving magic one book at a time.

Bill Hallahan Inner circle New Hampshire 3230 Posts 
Thanks Chris.
Glowball, these are the descriptions of those stacks in the book. In Chapter Four: Quote:
The Suit Bracelet Stack can be used to perform Larsen and Wright's routine named Suitability[3] and also contains a bracelet code for the redblack cards similar to Charles Jordan's routine Coluria[1], although that routine only used 32 playing cards. This stack also contains some features of the Aronson Stack[6], specifically Spelling, and A Ten Card Poker Deal. There is also Suit Bracelet Poker Deal included in the stack. and in Chapter Six: Quote:
The Two Suits Suitability Stack can be used to perform the routine Suitability[1] by William Larsen and T. Page Wright, and it contains binary bracelet codes for any two suits that are chosen. Features of other stacks in the book are listed at Mathematical Stacks. The book has the most comprehensive explanation of cardtoposition and positiontocard for a Si Stebbins Stack in any source that I'm aware of. The book is at the link that Chris provided, i.e. https://www.lybrary.com/mathematicalstacksp926418.html.
Humans make life so interesting. Do you know that in a universe so full of wonders, they have managed to create boredom. Quite astonishing.
 The character of â€˜Deathâ€™ in the movie "Hogswatch" 
glowball Special user Nashville TN 936 Posts 
Check out the link below on how to do the "Suitability" trick using the TritiumJm3Lf3 stack without a cheat sheet:
https://themagiccafe.com/forums/viewtopi......orum=205 The same principle can be applied to Bill Hallahan's Suitability type stacks but of course a whole different set of mnemonics would need to be developed. 
The Magic Cafe Forum Index » » Shuffled not Stirred » » Tritium stack challenge (2 Likes) 
[ Top of Page ] 
All content & postings Copyright © 20012024 Steve Brooks. All Rights Reserved. This page was created in 0.09 seconds requiring 5 database queries. 
The views and comments expressed on The Magic Café are not necessarily those of The Magic Café, Steve Brooks, or Steve Brooks Magic. > Privacy Statement < 