novel faro relationships\nintroducing mathematical language and some properties
 basic terminology and operations
 for a 52 card deck only
 for a 51 card deck only\nmurray bonfeld
1977
Murray Bonfeld

Novel Faro Relationships

2


in and out terminology\n\nalex elmsley
1977
Alex Elmsley

In and Out Terminology

2


faro functions\nfurther notations and properties\nmurray bonfeld
1977
Murray Bonfeld

Faro Functions

8


even number of cards\nrelationships for decks with 2n cards\nmurray bonfeld
1977
Murray Bonfeld

Even Number Of Cards

8


faro shuffle recycling table\nrequired number of in and out shuffles listed for a deck with 252 cards\nmurray bonfeld
1977
Murray Bonfeld

Faro Shuffle Recycling Table

10


up and down faro system\nturning one half over before faro shuffling them together and how it affects the recycling properties\nmurray bonfeld
1977
Murray Bonfeld

Up And Down Faro System

11


unit shuffles\n\nmurray bonfeld\nthe theoretical faro\nkarl fulves
1977
Murray Bonfeld

Unit Shuffles

Related to 
11


multiples of four\nrelationships for decks with 4n cards\nmurray bonfeld
1977
Murray Bonfeld

Multiples Of Four

12


odd numbers of cards\nrelationships for decks with 2n1 cards\nmurray bonfeld
1977
Murray Bonfeld

Odd Numbers Of Cards

13


unit restorations\n\nmurray bonfeld\nthe theoretical faro\nkarl fulves
1977
Murray Bonfeld

Unit Restorations

Related to 
16


the 32card deck: an analysis\ntwenty properties and relationships for a deck with 32 cards, some things also hold for a deck with 2<sup>n</sup> cards\nmurray bonfeld
1977
Murray Bonfeld

The 32Card Deck: An Analysis

18


the principle of internal shuffling\nfollowing 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\nmurray bonfeld\nother forms of the transposition\nkarl fulves\n(2) primitive cycles\nkarl fulves
1977
Murray Bonfeld

The Principle of Internal Shuffling

Related to 
27


placement for thirds\nfaro shuffle that distributes a group three cards apart, e.g. the spades then lie sxxsxxsxx..., not a perfect tripe faro\nmurray bonfeld
1977
Murray Bonfeld

Placement For Thirds

31


sympathetic perception\nfive (mental) selections, deck shuffled and dealt into three piles, all selections end up in one pile\nmurray bonfeld
1977
Murray Bonfeld

Sympathetic Perception

32


thirteen reverse\nspades are ordered but distributed in deck, their order is reversed with faro shuffles\nmurray bonfeld
1977
Murray Bonfeld

Thirteen Reverse

33


shuffled interchange\ntwo spade cards are named, their position in the deck is transposed with faros\nmurray bonfeld
1977
Murray Bonfeld

Shuffled Interchange

34


any card, any number  the first system\nshuffling 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\nmurray bonfeld\nbeginning again\nwilliam zavis\nbinary translocations\nalex elmsley
1977
Murray Bonfeld

Any Card, Any Number  The First System

Inspired byRelated to 
41


any card, any number  the second system\nbringing 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\nmurray bonfeld\nbinary translocations\nalex elmsley
1977
Murray Bonfeld

Any Card, Any Number  The Second System

Related to 
42


principles and routines\napplications\nmurray bonfeld\nalex elmsley\npenelope's principle\nalex elmsley
1977
Murray Bonfeld, Alex Elmsley

Principles and Routines

Inspired by 
48


cut coincidence\nselection is found at number specified by amount of cutoff cards, penelope's principle, faro\nmurray bonfeld
1977
Murray Bonfeld

Cut Coincidence

48


more power of thought\nstay stack, faro, penelope's principle\nmurray bonfeld
1977
Murray Bonfeld

More Power Of Thought

48


column correspondence\nfaro, penelope's principle\nmurray bonfeld
1977
Murray Bonfeld

Column Correspondence

49


penelope's principle as a force\nfaro\nkarl fulves\nalex elmsley
1977
Karl Fulves, Alex Elmsley

Penelope's Principle as a Force

49


caught card #1001\nfaro, penelope's principle\nmurray bonfeld
1977
Murray Bonfeld

Caught Card #1001

50


double coincidence\nfinding mates ala power of thought, then the other two mates as well, faro, penelope's principle, full deck stack\nmurray bonfeld
1977
Murray Bonfeld

Double Coincidence

50


more theorems\nrelationships when faros are combined with cuts in even deck
 cuts and faros combined
 shuffle theorems\nmurray bonfeld
1977
Murray Bonfeld

More Theorems

52

