is this even possible on a square-1?

Wow - this suggests to me a whole new challenging event: square-1 match the scramble!!! Is anyone out there already good at this?

This is exactly what I was thinking! That cube state is totally epic. I don't have time now but will do it later.

Michael: he didn't ask for a proof, though, he asked *why* it is true.

Purrrrity.
 
If you're too lazy to find a solution here it is ... 0,-3/1,3/3,-2/-4,0/0,-5/4,-3/-4,0/4,3/-3,0/0,4/-1,0 [10|25]
 
I've done it once. It's essentially a reverse blindsolve: I solved the shape, figured out a few pieces to swap, unsolved the shape, and swapped the pieces in cubeshape. You could probably do it much faster than me. I did the shape alg repeatedly because I didn't want to memorize the entire permutation at once. Plus, you could use your permutation matrices to speed things up a lot.

I'm embarrassed that I couldn't readily see how to do it. That makes perfect sense, now that you describe it! Fun!
 
Wow - this suggests to me a whole new challenging event: square-1 match the scramble!!! Is anyone out there already good at this?

You would probably be great already, wouldn't your translation matrixes help? I'm sure most could do it, it'd just be very difficult. Can you easily track your matrixes backwards?

Edit: stupid internet, it was taking too long to load, so I couldn't see that someone had already answered/mentioned exactly the same thing as me (blade).
 
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You would probably be great already, wouldn't your translation matrixes help? I'm sure most could do it, it'd just be very difficult. Can you easily track your matrixes backwards?

Edit: stupid internet, it was taking too long to load, so I couldn't see that someone had already answered/mentioned exactly the same thing as me (blade).

I know how it goes - I've been hit with the same thing before. And yes, my memorization should help lots. It probably wouldn't be that hard for me, now that I understand how to go about doing it.
 
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