According to Rickman, there are tools that can help cut down on numbers of dimensions and eliminate non-relevant dimensions to help one better identify these patterns. (sciencedaily.com)
* In fact, for all you knew, you might have had to worry about weird spheres when visiting any space with numbers of dimensions of the type 2k - 2. (scientificamerican.com)
Essentially, by plugging in a single value, you can produce an infinite set of games for any given number of dimensions > 1 based on the structure of the orthogonal arrays, with no application of rules beyond sequence (a modulo operation that defines the concept of «turn order» in games.) (law.stackexchange.com)