Creators  Title  Comments & References  Year  Source  Page  CARC  Categories  

Unknown  The Eighteenth Card  using 1835faroprinciple with honest shuffle, risky  1940  Expert Card Technique  150 


Fred Black  The Shuffle  faro tables  see also "A Correction" (Edward Marlo, 1958)  1940  Expert Card Technique  145 


Fred Black  The Endless Belts  see also "A Correction" (Edward Marlo, 1958), "Ring Diagrams" (Karl Fulves, 1986) 
1940  Expert Card Technique  147 


Fred Black  Chart of Seventeen  see also "A Correction" (Edward Marlo, 1958)  1940  Expert Card Technique  147 


Edward Marlo  Half and Half Shuffle  basically the stay stack principle applied to two cards  1958  The Faro Shuffle  29 


Edward Marlo  "Half Plus One"  bringing a key card next to a certain card with faro shuffle  1958  The Faro Shuffle  30 


Edward Marlo  Observations  faro as a false shuffle and other comments  1958  The Faro Shuffle  34 


Edward Marlo  A Correction  commentary on ECT tables, see also new hardcover edition for further commentary  inspired by "The Shuffle" (Fred Black, 1940)  1958  Faro Notes  8 


Edward Marlo  The Chain Calculator  how to calculate position of any card after faro shuffles, memorized deck  1958  Faro Notes  12 


Russell "Rusduck" Duck  Faro Favorites  Elmsley's Restacking Pack  see also "The Restacking Pack" (Alex Elmsley, 1994)  1958  The Cardiste (Issue 10)  14 


Russell "Rusduck" Duck  PermaStack  based on Elmsley's Restacking Pack idea  see also "The Restacking Pack" (Alex Elmsley, 1994)  1958  The Cardiste (Issue 10)  15 


Alex Elmsley  In and Out Definition  1958  The Faro Shuffle  1 


Alex Elmsley  In and Out Shuffle Definition  1958  Faro Notes  1 


Edward Marlo  On the ReStacking Pack  two spectators decide for numbers and remember the cards at their number four times with faros in between, each has a four of a kind  inspired by "The Restacking Pack" (Alex Elmsley, 1994)  1964  Faro Controlled Miracles  18 


Unknown  1835 Principle  1964  Faro Controlled Miracles  19 


Karl Fulves  FaroShuffling Machines  examining the problem of finding an algorithm to find a faro combination to shuffle from position x to position y, discussed with a 6card deck  1967  Epilogue (Issue 1)  7 


Roy Walton  A Faro Tree  examining the problem of finding an algorithm to find a faro combination to shuffle from position x to position y  also published as "A Faro Tree" (Roy Walton, 1979)  1967  Epilogue (Issue 1)  8 


Karl Fulves  Q & A  a deck is given a known sequence of faro shuffles (e.g. IOIIOOOIOIIOOIO), problem: how to recycle to get original order with faro shuffling  1968  Epilogue (Issue 2)  15 


Edward Marlo  Marlo ReStacking Pack  two spectators decide for numbers and remember the cards at their number four times with faros in between, each has a four of a kind  inspired by "The Restacking Pack" (Alex Elmsley, 1994)  1969  Expert Card Mysteries  175 


Karl Fulves  Faro Transforms  discussing properties of the faro to exchange two cards within the deck and to recycle the order  1969  Faro & Riffle Technique (Section "Faro Techniques")  2 


Karl Fulves  Faro Rings  notation to illustrate behavior of cards during faro shuffles, see also Addenda on page 60  1969  Faro & Riffle Technique (Section "Faro Techniques")  2 


Karl Fulves  Position Determination  following a card's position during in and out faros  1969  Faro & Riffle Technique (Section "Faro Techniques")  3 


Karl Fulves  The Triple Faro Ring  1969  Faro & Riffle Technique (Section "Faro Techniques")  4 


Karl Fulves  General Transform Characteristics 
discussing how the order is affected through faro shuffling in a 2^{n} deck 1. Reversibility 2. The Recycling Corollary 3. Commutative Property 4. Additive Property 5. Position Equivalency 6. Substitutions 7. NonSymmetric Transforms 
1969  Faro & Riffle Technique (Section "Faro Techniques")  7 


Karl Fulves  The FourthOrder Deck  discussing transpositions of two cards within the deck  1969  Faro & Riffle Technique (Section "Faro Techniques")  12 


Karl Fulves  Three Way Transposition  note  1969  Faro & Riffle Technique (Section "Faro Techniques")  15 


Karl Fulves  Fractional Transforms  note  1969  Faro & Riffle Technique (Section "Faro Techniques")  15 


Karl Fulves  The Recycling Problem  "The general solution is somewhat more involved and will not be discussed here.", see references for more on that  see also "The General Recycling Problem" (Karl Fulves, 1979), "Introduction" (Karl Fulves, 1986) 
1969  Faro & Riffle Technique (Section "Faro Techniques")  16 


Karl Fulves  The 3^{n} Deck  properties related to the Triple Faro  1969  Faro & Riffle Technique (Section "The Triple Faro")  46 


Karl Fulves  Recycling The 3^{n} Deck  with the Triple Faro  1969  Faro & Riffle Technique (Section "The Triple Faro")  47 


Karl Fulves  Inverse Shuffles  properties of the Triple Faro  1969  Faro & Riffle Technique (Section "The Triple Faro")  47 


Karl Fulves  Adjacencies  problem of bringing two cards at random position together with faro shuffles  1970  Faro & Riffle Technique (Section "First Supplement")  53 


Edward Marlo  1835 Prediction  card at chosen number is predicted, using 1835 faro principle, three methods (duplicate card, equivoque, ..)  1975  Hierophant (Section "7 Resurrection Issue")  55 


Murray Bonfeld  Novel Faro Relationships 
introducing mathematical language and some properties  Basic Terminology and Operations  For A 52 Card Deck Only  For A 51 Card Deck Only 
1977  Faro Concepts  2 


Murray Bonfeld  Faro Functions  further notations and properties  1977  Faro Concepts  8 


Murray Bonfeld  Even Number Of Cards  relationships for decks with 2n cards  1977  Faro Concepts  8 


Murray Bonfeld  Faro Shuffle Recycling Table  required number of in and out shuffles listed for a deck with 252 cards  1977  Faro Concepts  10 


Murray Bonfeld  Up And Down Faro System  turning one half over before faro shuffling them together and how it affects the recycling properties  1977  Faro Concepts  11 


Murray Bonfeld  Unit Shuffles  see also "The Theoretical Faro" (Karl Fulves, 1979)  1977  Faro Concepts  11 


Murray Bonfeld  Multiples Of Four  relationships for decks with 4n cards  1977  Faro Concepts  12 


Murray Bonfeld  Odd Numbers Of Cards  relationships for decks with 2n1 cards  1977  Faro Concepts  13 


Murray Bonfeld  Unit Restorations  see also "The Theoretical Faro" (Karl Fulves, 1979)  1977  Faro Concepts  16 


Murray Bonfeld  The 32Card Deck: An Analysis  twenty properties and relationships for a deck with 32 cards, some things also hold for a deck with 2^{n} cards  1977  Faro Concepts  18 


Murray Bonfeld  The Principle of Internal Shuffling 
following groups and belts within a 52card deck and how they behave under variations of in and outshuffles  Controlling 16 Cards Among 52  Controlling 10 Cards Among 52  Controlling 8 Cards Among 52  Inshuffle Groups  Odd Deck Technique  see also "Other Forms Of The Transposition" (Karl Fulves, 1969), "(2) Primitive Cycles" (Karl Fulves, 1979) 
1977  Faro Concepts  27 


Murray Bonfeld  Any Card, Any Number  The First System  shuffling card from position x to the top in odd deck, modified infaro for even deck that ignored bottom card, reverse method for Alex Elmsley's Binary Translocation No. 1  inspired by "Binary Translocations" (Alex Elmsley, 1994), see also "Beginning Again" (William Zavis, 1970) 
1977  Faro Concepts  41 


Murray Bonfeld  Any Card, Any Number  The Second System  bringing a card from position x to y with faro shuffling, odd deck, with even deck modified infaro is required that ignores top card, generalization of Alex Elmsley's Binary Translocations  see also "Binary Translocations" (Alex Elmsley, 1994)  1977  Faro Concepts  42 


Murray Bonfeld & Alex Elmsley  Principles and Routines  applications  inspired by "Penelope's Principle" (Alex Elmsley, 1994)  1977  Faro Concepts  48 


Murray Bonfeld  More Theorems 
relationships when faros are combined with cuts in even deck  Cuts And Faros Combined  Shuffle Theorems 
1977  Faro Concepts  52 


Edward Marlo  The 49 Control  five cards  1979  Marlo's Magazine Volume 3  363 


Karl Fulves  The Null AntiFaro  Restacking pack concept  1979  Faro Possibilities  4 


Karl Fulves  The Theoretical Faro 
definition of IO and OI as an entity and properties of IO and OIsequences  The Conjugate Pair Faro  The Inverted Conjugate Pair Faro  see also "Unit Restorations" (Murray Bonfeld, 1977), "Unit Shuffles" (Murray Bonfeld, 1977) 
1979  Faro Possibilities  6 


Karl Fulves  The Null Faro  an idea similar to Alex Elmsley's Restacking concept  see also "The Restacking Pack" (Alex Elmsley, 1994)  1979  Faro Possibilities  8 


Karl Fulves  Utter Chaos  some properties for decks with and odd number of cards  1979  Faro Possibilities  8 


Karl Fulves & Steve Shimm  Faro Shuffle Machines  examining the problem of finding an algorithm to find a faro combination to shuffle from position x to position y, discussed with a 6card deck  see also "Morray Bonfeld's Faro Program" (Murray Bonfeld, 1979)  1979  Faro Possibilities  9 


Roy Walton  A Faro Tree  examining the problem of finding an algorithm to find a faro combination to shuffle from position x to position y  also published as "A Faro Tree" (Roy Walton, 1967)  1979  Faro Possibilities  13 


Karl Fulves  The Tracking Faro  stay stack type principle with two separate odd decks  1979  Faro Possibilities  17 


Karl Fulves  Solution to a Problem  how to return to original order if a known sequence of in and out faros was performed  1979  Faro Possibilities  19 


Karl Fulves  The General Recycling Problem  how to return to original order if an unknown sequence of in and out faros was performed  see also "The Recycling Problem" (Karl Fulves, 1969), "Introduction" (Karl Fulves, 1986) 
1979  Faro Possibilities  20 


Karl Fulves  The Missing Link  relation of Milk Build Shuffle to faro  1979  Faro Possibilities  25 


Karl Fulves  (2) Primitive Cycles  maintaining sequences that are repeated  see also "Other Forms Of The Transposition" (Karl Fulves, 1969), "The Principle of Internal Shuffling" (Murray Bonfeld, 1977) 
1979  Faro Possibilities  27 


Karl Fulves  (3) The Half Faro  faro applied to longshort deck, double faro  1979  Faro Possibilities  27 


Karl Fulves  (4) Faro/Stebbins  bringing a thirteencards deck into Si Stebbins order with faros  1979  Faro Possibilities  28 


Karl Fulves  Interrogating the Deck  bringing a card to top with faro shuffles  see also "The Interrogation Technique" (Karl Fulves, 1970)  1979  Faro Possibilities  29 


Murray Bonfeld  Morray Bonfeld's Faro Program  program for programmable calculator to find how many faros are required for recycling the order  see also "Faro Shuffle Machines" (Karl Fulves & Steve Shimm, 1979)  1979  Interlocutor (Issue 29)  112 


Karl Fulves  Fake Shuffles  fake faro shuffle and fake false shuffle with gaffed red/blue decks  1981  Octet  38 


Steve Beam  False Faro  diagonal pressure and swivel cut  see also "The Trapdoor Issue #4" (Steve Beam, 2011)  1984  The Trapdoor  Volume One (Issue 4)  59 


T. Nelson Downs  No Shuffle  eight perfect shuffle recycle a deck  1985  The Fred Braue Notebooks (Issue 2)  14 


Karl Fulves  Least Totals  sixcard deck solution for problem in introduction  1986  The Return Trip  2 


Karl Fulves  Flotation Device  another solution for problem in introduction  1986  The Return Trip  4 


Karl Fulves  Ring Diagrams  see also "The Endless Belts" (Fred Black, 1940), "Shuffle Diagrams" (Karl Fulves, 1986) 
1986  The Return Trip  5 


Karl Fulves  A Catalog of Shuffles  another solution for problem in introduction  1986  The Return Trip  6 


Karl Fulves  The Uniqueness Theory  on the uniqueness of the order after a random in/out faro shuffle sequence  1986  The Return Trip  9 


Karl Fulves  Transpoker  two poker hands, each Ace through Five in red and black, spectator names one of the values, performer shuffles the hands together and deals, named value is only oddbacked card in both hands, "transposition shuffle"  see also "Unit Transpo" (Karl Fulves, 1970), "Shuttle Shuffle" (Karl Fulves, 1973), varied by "Transpoker III" (Karl Fulves, 1986), "Transpoker II" (Karl Fulves, 1986) 
1986  The Return Trip  11 


Karl Fulves  Time Bent Back  what one knows about the last shuffle of an in/out faro shuffle sequence  1986  The Return Trip  13 


Karl Fulves  Separation Shuffles  faro shuffle sequences that mix each half within itself, keeping them separated  see also "Carbon Copy" (Karl Fulves, 1973)  1986  The Return Trip  14 


Karl Fulves  Singleton Shuffles  "separation shuffles" that allow one card from both halves to transpose  1986  The Return Trip  16 


Karl Fulves  If Known  another solution for problem in introduction if total number of shuffles is known  1986  The Return Trip  22 


Karl Fulves  Shuffle Diagrams  see also "Ring Diagrams" (Karl Fulves, 1986)  1986  The Return Trip  23 


Karl Fulves  The Stay Stak Constraint  as stay stack features applies to problem in introduction  1986  The Return Trip  25 


Karl Fulves  Ring Subset  1986  The Return Trip  26 


Karl Fulves  How Many States?  1986  The Return Trip  27 


Karl Fulves  Basic Shuffle Equations  how many shuffles it takes to get a deck back to original order  1986  The Return Trip  29 


Karl Fulves  Position Equations  notation for faro shuffling  1986  The Return Trip  30 


Karl Fulves  Mix Relativity  faro type from the point of view of the card  1986  The Return Trip  31 


Karl Fulves  Expanded Decks  notation for faro shuffling  1986  The Return Trip  31 


Karl Fulves  Not in Descartes  futile method of Cartesian notation  1986  The Return Trip  32 


Karl Fulves  Faro Trees  "The faro tree gives a clear, unambiguous picture of what happens to the deck as it is shuffled."  1986  The Return Trip  33 


Juan Tamariz  Notes on the Faro and other Shuffles 
1. On the supposed difficulty of the Faro 2. On the effects that can be performed with the Faro 3. On other uses 4. On subtleties, variations and new ideas 
1989 / 91  Sonata  82 


Juan Tamariz  1. To correct small errors  1989 / 91  Sonata  83 


Alex Elmsley  The Mathematics of the Weave Shuffle  long article for "mathematicians" with the following subchapters  1994  The Collected Works of Alex Elmsley  Volume 2  302 


Alex Elmsley  The Odd Pack and Weave  1994  The Collected Works of Alex Elmsley  Volume 2  304 


Alex Elmsley  Equivalent Odd Pack  1994  The Collected Works of Alex Elmsley  Volume 2  304 


Alex Elmsley  Returning a Pack to the Same Order  mathematical discussion  1994  The Collected Works of Alex Elmsley  Volume 2  305 


Alex Elmsley  Solving the Shuffle Equation  how to find out number of shuffles required to return pack to same order  1994  The Collected Works of Alex Elmsley  Volume 2  306 


Alex Elmsley  Stack Transformations  how faro shuffles affect a stack  1994  The Collected Works of Alex Elmsley  Volume 2  307 


Alex Elmsley  The Restacking Pack  stack whose value distribution is not affected by faro shuffles  see also "PermaStack" (Russell "Rusduck" Duck, 1958), "Faro Favorites" (Russell "Rusduck" Duck, 1958), "The Null Faro" (Karl Fulves, 1979), "Primitive Cycles" (Karl Fulves, 1986), varied by "On the ReStacking Pack" (Edward Marlo, 1964), "Marlo ReStacking Pack" (Edward Marlo, 1969), "The Permanent Deck Principle" (Woody Aragon, 2011) 
1994  The Collected Works of Alex Elmsley  Volume 2  309 


Alex Elmsley  Binary Translocations 
1) to bring top card to any position with faros 2) to bring card to top with 2^x cards 3) variation of 2)  see also "Faro as a Control" (Edward Marlo, 1958), "Oil Always Floats" (Paul Swinford, 1971), "The Core" (Pit Hartling, 2016), varied by "Any Card, Any Number  The First System" (Murray Bonfeld, 1977) 
1994  The Collected Works of Alex Elmsley  Volume 2  311 


Alex Elmsley  Penelope's Principle  bringing center card to position corresponding with number of cards in cutoff pile  see also "Principles and Routines" (Murray Bonfeld & Alex Elmsley, 1977)  1994  The Collected Works of Alex Elmsley  Volume 2  313 


Alex Elmsley  The Obedient Faro  shuffling a card to any position up to 20 with 2 shuffles, for magicians  1994  The Collected Works of Alex Elmsley  Volume 2  346 


T. Nelson Downs  A Real Dovetail Shuffle  observation that 8 perfect (faro) shuffles restore order  1994  More Greater Magic  1084 


T. Nelson Downs  Four Perfect Riffle Shuffles to Restore FullDeck Order  no perfect faros, but blocks are released (riffle shuffle stacking type)  1994  More Greater Magic  1085 


Unknown  The Mathematical Basis of the Perfect Faro Shuffle  listing of mathematical principles  1998  Card College  Volume 3  692 


Pit Hartling  Elimination  Faro Ordering  removing cards so they can be ordered later with faro shuffles  2003  Card Fictions  22 


Denis Behr  Faro and AntiFaro Combination  2007  Handcrafted Card Magic  50 


Unknown  18/35 Principle  see also "The Eighteenth Card" (1940)  2008  Dexterity Manual  48 


Unknown  Calculating Positions after 1 Faro  memorized deck  2012  Lessons in Card Mastery  32 


Gary Plants & Richard Vollmer & Roberto Giobbi  Seven  position of selection in small packet is predicted, anti faro principle  2012  Confidences  177 


Mahdi Gilbert  Dueling Pianos  Handling for the Piano Card Trick, bringing in a subtlety from Thieves & Sheep  inspired by "Piano Card Trick" (Uncredited, Stanyon's Magic, Aug. 1902) Add a reference, see also "Thieves and Sheep" (Lillian Bobo, 1952) 
2015  SemiAutomatic Card Tricks  Volume 9  194 
