WHAT DO YOU MEME? Same Same But Different - The Party Game of Double Entendres – Adult Card Games for Game Night

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The probability that a set will have d {\displaystyle d} features different and 4 − d {\displaystyle 4-d} features the same is ( 4 d ) 2 d 80 {\displaystyle \textstyle {\frac {{4 \choose d}2 In the game, certain combinations of three cards are said to make up a "set". For each one of the four categories of features — color, number, shape, and shading — the three cards must display that feature as either a) all the same, or b) all different. Put another way: For each feature the three cards must avoid having two cards showing one version of the feature and the remaining card showing a different version. For example, 3 solid red diamonds, 2 solid green squiggles, and 1 solid purple oval form a set, because the shadings of the three cards are all the same, while the numbers, the colors, and the shapes among the three cards are all different.

Variants were included with the Set game that involve different mechanics to find sets, as well as different player interaction. Additional variants continue to be created by avid players of the game. [4] [5] Basic combinatorics of Set [ edit ] A complete set of 81 cards isomorphic with those of the game Set showing all possible combinations of the four features. Considering each 3×3 group as a plane aligned in 4-dimensional space, a set comprises 3 cards in a (4-dimensional) row, with wrap-around. An example 20-card cap set is shaded yellow. A cap set is a mathematical structure describing a Set layout in which no set may be taken. The largest group of cards that can be put together without creating a set is 20. [6] [7] Such a group is called a maximal cap set (sequence A090245 in the OEIS). Donald Knuth found in 2001 that there are 682344 such cap sets of size 20 for the 81-card version of Set; under affine transformations on 4-dimensional finite space, they all reduce to essentially one cap set. There are ( 81 2 ) 3 = 81 × 80 2 × 3 = 1080 {\displaystyle \textstyle {\frac {81 \choose 2}{3}}={\frac {81\times 80}{2\times 3}}=1080} unique sets.

Concentration/Memory

The rules of Set are summarized by: If you can sort a group of three cards into "two of ____ and one of ____", then it is not a set. Several games can be played with these cards, all involving the concept of a set. A set consists of three cards satisfying all of these conditions: The game evolved out of a coding system that the designer used in her job as a geneticist. The shapes are based on those in ISO 5807. [3] Set won American Mensa's Mensa Select award in 1991 and placed 9th in the 1995 Deutscher Spiele Preis.