# A Game of Four-folds

One thing those that love four-folds (quadraphiles?) like to do is compare and contrast them. A solitaire card game based on four-folds might be fun for some individuals obsessed by tetrads and such. But how would it work?

If two four-fold cards are chosen at random, then insight into their relationship might be obtained. For example: Structure-Function and Matter-Energy-Space-Time (MEST). The simple observation is that each quadrant of Structure-Function requires a corresponding quadrant of MEST. Actions require Energy. Parts require Matter. Structures require Space. Functions require Time. Energy is necessary for Actions, etc.

One problem is that not everyone agrees how the quadrants of two different four-folds can correspond, or be “lined up”. In general, the only things that are available to explain the reasoning for the arrangement are analogical thinking and argumentation, so it is at least half subjective. This isn’t science, after all.

Note that the different poles of each four-fold can be ordered in six different ways. If we have a square four-fold of A B C D, we can always place A at the Left or West position. Then the remaining 3 letters can be arranged in six different ways.

A B C D
A C D B
A D B C
A B D C
A C B D
A D C B

If one just has a fixed card for each four-fold, then the other five permutations are not available. You could have six versions of each card, but I think that would be a poor solution, since you are only picking one of them at any time.

To acheive flexibility in arrangement, each card could be divided into its quadrants, for example by right triangles. But then you’d have triangular cards. Plus the fact that you couldn’t combine them well on a web page.

Or you could have the four-folds turned to be X’s, and then the quadrants could be squares. That’s somewhat appealing, since this blog is titled “Equivalent eXchange”, after all. For example:

However, if you are picking two cards at random, then the four quadrants won’t be together as a group.

Notes:

Is Mahjong called “Game of Four Winds” or is it just a name of a computer version of it? From what I can tell, the players are named after the four winds (i.e. cardinal directions). But there are also four flowers and four seasons.

[*8.56]

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