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Another new concept to learn! This time, working with set theory. It's certainly part of physics, but hard to make the direct connection like you could with a force transformation or other macro physical phenomenon. This could be seen in spin systems of quantum physics.
In certain spin systems, the interaction between particles can result in behaviors analogous to NAND operations. For example, in antiferromagnetic systems, neighboring spins tend to align in opposite directions, which can be seen as a kind of "NOT" operation between adjacent particles.
The process of getting to the solution was fairly quick, but that was because you could quickly rule out any kind of logical transformation. The change in output dimension should have been a clue that it wasn't a transformation.
Solution: divide the universe into two 3x5 grids, divided vertically by the blue column. Output is the NAND of the two grids. When both grids are not filled at the same position, then the output will be filled in that position.
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