Curvy Copter algs

[cuBerBruce]

I just found a "two-phase" solution for superflip - only 32 moves!

Phase 1 (Double X-Cross):
DF DB DL FL DF BL DB DL DR FL DF FL BL DB BL DL

Phase 2 (Rest of Cube):
UF UB UR FR UF BR UB UL UR FR UF FR BR UB BR UR

I note that phase 2 is essentially the same maneuver as phase 1, only applied at a different angle.

 

[mrCage]

An improved 2-flip using jumbling:

UF+ FR UF FR UF FR UF++
UR FR UF UR UF FR UR (14 turns)

I am very sure this is optimal. But I have no idea how to prove it ...

Per : D

 

[rokicki]

Using twsearch, I've found a 32-move superflip, and also proved there is no 30-move superflip (ignoring
jumbling moves).

UL UB UF FL UR UB BR DL FR DF UL UF FL DL UR UL DR BR UB DB UR FL UF BL DR DF BR DL DF DB DR DB

Twizzle Explorer ᴬᴸᴾᴴᴬ

experiments.cubing.net

This is a good candidate for a non-jumbling antipode on this puzzle; I know of no position at a higher distance.

 

[rokicki]

Oops; a related sequence was already found nine years ago by cuBerBruce two posts up. My apologies. But I did at least show that there is no 30-move non-jumbling superflip on the curvy copter.