On the right hand side, we intercept the third red.
The blues must hit the levers in the order “b-r-b-b-b-r-b-b-b-b-b-b-b-r”.
All the odd elements of this sequence are blue, so the first bit filters out those blues, leaving “r-b-r-b-b-b-r”.
All the even elements of this subsequence are blue, so the second bit filters them out, leaving “r-r-b-r”.
The final 2 bits generate this subsequence.
Link: jstumble
This is amazing. Clean and elegant and gearless and a small number of parts. Really impressive.
Thanks. As we can make a 2-4-8 pattern without gears, I wondered how far it could be extended. The furthest I could go was a 1-2-4-8-16-32 pattern, using 50 pieces including 12 intercepts: https://www.lodev.org/jstumble/?board=01l1r0lga1r1raxrrirxr1lexlxxegalgax1axaxxllrlxllex0rex_99_99
Awesome! I really like it! Minimalistic and does a great job! How did you figure this out?