Hi
Does someone solve the Face Turning Octahedron with a blockbuilding method?
Please let us know the sequences and scheme.
By example like petrus method with Rubik's Cube .
My edges-corners-centers commutator/conjugator method makes not fun.
Perhaps with blockbuilding the FTO makes more fun.

Cheers,
Andrea

Sorry, I forgot posting here.
No, I don't. And I have never heard of it. But I know that Julian has a reduction method for the circle FTO, where he reduces it to a pyraminx. Or actually an Octaminx, which is a Pyraminx truncated.
I suppose you could use that to a normal FTO too. However I doubt that it does a difference to conveniency, move count or anything.
Basically to pair corners with triangles you would need a commutator that involves three corner turns and one slice turn. That is just what you are doing anyway. Plus you will have to create the four groups of three edges and three triangles each.
But maybe it'll just be fun.

Hold on, if it works for the circle FTO it also does something with the normal FTO:
The point is the same as with a normal 5x5x5 solve. You do a slice move, than you do 4 face moves (X Y X' Y') and than you only undo the slice move. Since the pyraminx party can stay scrambled the whole time and is just solved once in the end (just like the 3x3x3 part on a 5x5x5 cube solve), you actually should be ably to spare all those moves that restore the pyraminx. In other words some face moves.
I am not sure about the pairing up of three edges with three triangles though. You need four groups of those on non adjacent faces. Try it and tell me more about it.