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My subconscious doesn’t get the NOT gates. AND and OR gates work fine, though. Really cool work.
It took me a while to "get" the not gates (the prism ones on the right of figure 4).

If that's what you're stuck on, note that the bottom half of the right two diagrams can be seen "from underneath looking into the open trapezoid" (left of the two rightmost) or "from above looking at outsides of (truncated-pyramid-like) trapezoid" (right of two rightmost). Keep staring...

I wonder if I've been "damaged" by staring at too many both-woman-and-frog-style pictures and Escher drawings in my childhood. My brain just keeps flipping perspective at random as I traverse down the circuits.