Faro Concepts
Faro Concepts
written by Murray Bonfeld
1977
Work of Murray Bonfeld
56 pages (Spiralbound), Selfpublished
Language: English
(26 entries)
Data entered by Denis Behr.
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Creators Title Comments & References Page Categories
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
2
Alex Elmsley In and Out Terminology 2
Murray Bonfeld Faro Functions further notations and properties 8
Murray Bonfeld Even Number Of Cards relationships for decks with 2n cards 8
Murray Bonfeld Faro Shuffle Recycling Table required number of in and out shuffles listed for a deck with 2-52 cards 10
Murray Bonfeld Up And Down Faro System turning one half over before faro shuffling them together and how it affects the recycling properties 11
Murray Bonfeld Unit Shuffles see also "The Theoretical Faro" (Karl Fulves, 1979) 11
Murray Bonfeld Multiples Of Four relationships for decks with 4n cards 12
Murray Bonfeld Odd Numbers Of Cards relationships for decks with 2n-1 cards 13
Murray Bonfeld Unit Restorations see also "The Theoretical Faro" (Karl Fulves, 1979) 16
Murray Bonfeld The 32-Card Deck: An Analysis 20 properties and relationships for a deck with 32 cards, some things also hold for a deck with 2n cards 18
Murray Bonfeld The Principle of Internal Shuffling following groups and belts within a 52-card deck and how they behave under variations of in- and out-shuffles
- 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)
27
Murray Bonfeld Placement For Thirds faro shuffle that distributes a group three cards apart, e.g. the spades then lie SxxSxxSxx..., not a perfect tripe faro 31
Murray Bonfeld Sympathetic Perception 5 (mental) selections, deck shuffled and dealt into 3 piles, all selections end up in one pile 32
Murray Bonfeld Thirteen Reverse spades are ordered but distributed in deck, their order is reversed with faro shuffles 33
Murray Bonfeld Shuffled Interchange 2 spade cards are named, their position in the deck is transposed with faros 34
Murray Bonfeld Any Card, Any Number - The First System shuffling card from position x to the top in odd deck, modified in-faro 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)
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 in-faro is required that ignores top card, generalization of Alex Elmsley's Binary Translocations see also "Binary Translocations" (Alex Elmsley, 1994) 42
Murray Bonfeld & Alex Elmsley Principles and Routines applications inspired by "Penelope's Principle" (Alex Elmsley, 1994) 48
Murray Bonfeld Cut Coincidence selection is found at number specified by amount of cut-off cards, Penelope's Principle, faro 48
Murray Bonfeld More Power Of Thought stay stack, faro, Penelope's Principle 48
Murray Bonfeld Column Correspondence faro, Penelope's Principle 49
Karl Fulves & Alex Elmsley Penelope's Principle as a Force faro 49
Murray Bonfeld Caught Card #1001 faro, Penelope's Principle 50
Murray Bonfeld Double Coincidence finding mates ala Power of Thought, then the other 2 mates as well, faro, Penelope's Principle, full deck stack 50
Murray Bonfeld More Theorems relationships when faros are combined with cuts in even deck
- Cuts And Faros Combined
- Shuffle Theorems
52