The Ultimate Pyramorphix Method
Proposed independently in 2004 by Mike Grimsley and the author, this is a simple yet very fast method to the Pyramorphix.
Place the four corner pieces in one "layer" with their orientation as in the figure below. 1 through 4 represent the four colors.
4 1 _ _ 1| |4 2|_ _|3 3 2
Use one of these two approaches depending on the scramble.
- (Grimsley). Find adjacent corners with two colors matching, and build from there.
- (Makisumi). Two opposite corners with no same colors, the other two corners must be opposite to the colors on the sides.
Average ~6.5 moves
Permute the remaining four pieces (they have no orientation) so that they match .Possible Cases
1/6 Oriented correctly: do nothing (0 move)
4/6 Adjacent swap: RU'R'U'F'UF (7 moves)
1/6 Diagonal swap: FRUR'U'F'U (7 moves)
Average = 5.833... moves + 0.75 AUF
Average: 6.5833... moves
With the 2 moves to solve.
Total: ~15 moves on average