Nice operation for Megaminx

[Kenneth]

Take this 'alg' : R' ( X X X X ) R

To make another alg from that do this : R2' D' R ( X X X X ) R' D R2

That will change the corner sitting in URF after the first part to a diffrent one. If this corner changes to another one during the rest of the alg it will change once more in the end so... it inserts a 3-cycle commutator in only 4 extra turns (4 H, 6 Q).

A-PLL for example but you can also twist two corners (pure) in few moves (example: R2' D' R U L U' R' D R2 U L' U')


D may be any of 5 sides but in this case it is the face sitting under both F and R...

 

[Kenneth]

Not on topic, mabye it should go to theory but my thread and it is Megaminx...

That is what I namned 'the Devils case', it is a compleate anti version of the solved case (PLL) and it has the same probability (edges like this 1:12, corners like this 1:12, 5 alignments = 12*12*5 = 1:720)

I need 30 turns to solve it

Not a big deal, you won't see it often but for the fun of it, who can find a shorter alg?

The image is mabye not much help but; top corner and bottom edge are solved, the rest are swaped ni 4 2-cycles horizontaly from left to right.


yes, yes, that thing is full of pentagrams

But... Solved ('Gods case') you can always AUF, this, you can never AUF (to understand that setup and do AUF + y orient), This is why this case is evil, same goes if yo look at edges or corners only.

Edit: R U R U R2' U' R2 U2 R2 U' R' U' R2 U R U R2' U2' R' U' R' (21, 28)

Found using Larie's 2-g solver for Megaminx, it is optimal using only two sides, the longest optimal I ever seen =)