Self-complementary ideals
The blue picture above can be thought of as a collection of cubes of unit side length stacked in a 6×6×6 box. If two cubes touch face to face, then the cube that is closest to the bottom back corner is defined to be the smaller one, which endows the set of 63 positions in the box with the structure of a partially ordered set (or poset for short). The se…
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