Some hard positions for face-turning octahedron puzzle

[coldsun0630]

Here are some hard positions for face-turning octahedron puzzle (or "FTO"), searched from this February to July.


Below are length-23 positions found so far, for normal(pseudo) FTO configuration (=centers on a same face can be mixed):

 Twizzle link 

//tri_adj + edge_opp
U F U' B' BR' D' L' D' R L' R BR U' R D' BR F R' F' BL U F L Lv

 Twizzle link 

//tri_adj + edge_adj
U F BL B' U B' BL BR' D' BL BR L R BL' D R F' B U' BL B' U F' Rv'

 Twizzle link 

//tri_adj - [Uf Fu; Db Bd]
U F D L' D' U' L BR' U' B' BL' R' D L B D' BR BL D BR B U B Rv

 Twizzle link 

//tri_adj + [UB FD, NL MR]
U F U' L' BL B U' R U' D R' U D BR' F BL' U' R' B R F BR' F Uv'

Below is a length-21 position found so far, for edge only scrambled position:

 Twizzle link 

//edge_hard
//(*also optimal for pure configuration)
U' L BR' BL R' F' R BL' D R' BL U' D BL' R B' F BL' R' F B'

Below is a length-24+ position known so far, for pure FTO configuration (=centers are all unique):

 Twizzle link 

//pure; corn_6flip [≥24f*]
U F' U' R' L' R L U F U' F' L' R' L R BL L F' L U F' R' U R' BR' U B BR' B BL BR' D' BL D'

(Thanks to rokicki for his technical support.)

 

[abunickabhi]

Is this like the superflip equivalent for FTO?

Also can you edit the post and paste the puzzle images for better visualization!
Twizzle link would also work

 

[coldsun0630]

Is this like the superflip equivalent for FTO?

Yes, but not only. The center-only superflip equivalent position("tri_adj") is known to be length-21 a 18 mover.

Also can you edit the post and paste the puzzle images for better visualization!

Now added Twizzle links.

 

[abunickabhi]

Yes, but not only. The center-only superflip equivalent position("tri_adj") is known to be length-21.


Now added Twizzle links.

Length-21 is weird coinage tbf

Thanks for adding the twizzle links!

 

[coldsun0630]

Length-21 is weird coinage tbf

I'm afraid I gave you a wrong info; it was a typo. The position is 18 ftm long.

 Twizzle link 

U F BL' U F BL' U F R BL' L B' R L B' R L B'

 

[MaximalMegaminx]

Here are some hard positions for face-turning octahedron puzzle (or "FTO"), searched from this February to July.


Below are length-23 positions found so far, for normal(pseudo) FTO configuration (=centers on a same face can be mixed):

 Twizzle link 

//tri_adj + edge_opp
U F U' B' BR' D' L' D' R L' R BR U' R D' BR F R' F' BL U F L Lv

 Twizzle link 

//tri_adj + edge_adj
U F BL B' U B' BL BR' D' BL BR L R BL' D R F' B U' BL B' U F' Rv'

 Twizzle link 

//tri_adj - [Uf Fu; Db Bd]
U F D L' D' U' L BR' U' B' BL' R' D L B D' BR BL D BR B U B Rv

 Twizzle link 

//tri_adj + [UB FD, NL MR]
U F U' L' BL B U' R U' D R' U D BR' F BL' U' R' B R F BR' F Uv'

Below is a length-21 position found so far, for edge only scrambled position:

 Twizzle link 

//edge_hard
//(*also optimal for pure configuration)
U' L BR' BL R' F' R BL' D R' BL U' D BL' R B' F BL' R' F B'

Below is a length-24+ position known so far, for pure FTO configuration (=centers are all unique):

 Twizzle link 

//pure; corn_6flip [≥24f*]
U F' U' R' L' R L U F U' F' L' R' L R BL L F' L U F' R' U R' BR' U B BR' B BL BR' D' BL D'

(Thanks to rokicki for his technical support.)

is it possible those difficult positions are solvable in less moves if you tried to do them in another orientation, since an FTO doesn't have a fixed centers if you do outer layer moves? or did you already take that into account