T-Perm

it is impossible to solve the cube using only the T-perm.

No, it's possible to solve all legal cube states with a t-perm and intuitive setup moves.

Well, I assumed T-Perm with setup moves was allowed.

Otherwise its pretty obvious that if no setup moves are allowed you can only cycle the same corners and edges back and forth. Hence the only solvable state would be a t-perm.

cube rotations also allowed, or am I wrong?

Your right, Haukzi needs to ltfm...

Today I experimented with doing random T-perms and cube rotations (no setup moves allowed), then trying to solve it using those same rules. A U-perm case cannot arise because T-perms can never lead to adjacent edge swaps. But the corners move and twist just about anywhere and I have trouble figuring out the solve. It's a nice little puzzle.
 
it is impossible to solve the cube using only the T-perm.

No, it's possible to solve all legal cube states with a t-perm and intuitive setup moves.

Well, I assumed T-Perm with setup moves was allowed.

Otherwise its pretty obvious that if no setup moves are allowed you can only cycle the same corners and edges back and forth. Hence the only solvable state would be a t-perm.

cube rotations also allowed, or am I wrong?

Your right, Haukzi needs to ltfm...

Today I experimented with doing random T-perms and cube rotations (no setup moves allowed), then trying to solve it using those same rules. A U-perm case cannot arise because T-perms can never lead to adjacent edge swaps. But the corners move and twist just about anywhere and I have trouble figuring out the solve. It's a nice little puzzle.

It's really fun, I have two corners misoriented ):
 
It's impossible to get 13.37 on my stackmat, I've tried it 98432983 times...

The 1337 times are reserved only for the black versions of the mat. Mybe you will have better luck with 13:37.00
 
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