Studies of Euler diagrams/vidita

This 4-ary Boolean function has 10 of 16 true spots. It is a gap variant of Studies of Euler diagrams/medusa (see here ).


 * }

The following example shows, that the approaches shown above are too rigidly geometric to be generally useful. The same kind of rigid diagram would have to be 3-dimensional, and the pills would have to be arranged in an equilateral triangle. A more generally useful approach is to say, that the pills are sort of in the same place, and permutable among each other.


 * }

filtrates
Each of the 6 pairs is a 2-split (with all 4 quadrants). Only one of the 4 triples is a 3-split (with all 8 octants).