Fig 1.
An example of the Gilbreath principle. Eight cards are ordered red/black throughout. After reversing half the deck, and performing a riffle shuffle, each sequential pair still contains a red and a black card.
Fig 2.
The words that people use to describe certain trademarks allow the conceptual space around each to be defined. Some naturally group together, some are cleanly separated. The Association trick relies on the separated groups.
Fig 3.
Simple examples of words (queries) with their associated classes (documents of words relating to a particular brand) ranked by BM25 score. Categories of classes can be picked out in groups, by filtering and merging the ranked lists. The green words are all closely related, and exist in both queries.
Fig 4.
Generating the Association trick.
The computational and experimental process for suggesting categories and words for use in the Association trick. The document store is sourced experimentally, and from the internet, before being processed and analysed for categories and words. If the theme is chosen well, the categories will naturally be conceptually far apart.
Fig 5.
Cards produced for use in the Association trick, with a Trademark theme. Category 1 defines the cards that the performer hopes the spectator will match.