this post was submitted on 06 Sep 2025
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No no, what you're thinking of is if you do all the same steps in exact reverse backwards order, that's always the solution, and yes that is 100% true.
What I'm saying is within this rather large subset of crossover cube/die puzzles, then performing all the same steps forwards is both the mixup and also the solution. That is not true for all Rubik's puzzles though.
A lot of that has to do with 2x turns, most of the easier cube/die puzzles use nothing but 2x turns. But within the full Rubik's puzzle possibilities, there are an almost infinite number of 1x turns, which when solving means you basically have to do a -1x turn for every 1x turn that mixed it up.
I've also found some extra crossover cube/die puzzles that do incorporate 1x turns, those add a little extra challenge to the solutions, but many of those even have the same solution, if and only if you flip the cube to start from the exact opposite three centers as where the mixup started.
Sigh, sorry if this sounds confusing, but that's kinda just how the cube is, confusing, while still being such a simple mechanism.