Pi — corners in order
Pi1No corner shows the top colour. Two corners twisted clockwise sit next to each other, two anticlockwise. Hold the clockwise pair at the front and the corners are already in the right order.
42 cases
Solve all last-layer corners in one algorithm, with the M slice left free.
The third step of the Roux method. After building two blocks you solve the six remaining corners in a single algorithm, using only R, U and F moves so the M slice stays untouched for the last step. Many of these are OLL and COLL algorithms wearing a different hat.
No corner shows the top colour. Two corners twisted clockwise sit next to each other, two anticlockwise. Hold the clockwise pair at the front and the corners are already in the right order.
Pi with the clockwise pair at the front; the two corners at the back still need to swap.
Pi with the clockwise pair at the front; the left-hand pair swaps.
Pi with the clockwise pair at the front; the two right-hand corners swap.
Pi with the clockwise pair at the front; those same two corners swap.
Pi with the clockwise pair at the front and a diagonal swap left over.
No corner oriented and the two clockwise-twisted ones sit diagonally. Any hold with a clockwise corner at the front-right works; the corners are already in order.
H shape held with a clockwise corner at the front-right; the back pair swaps.
H shape with a clockwise corner at the front-right; the two right-hand corners swap.
H shape with a diagonal pair still to swap.
One corner shows the top colour, the other three point their top colour round the same way. Hold the solved corner at the front-right; the corners are already in order.
Sune with the solved corner at the front-right; the back pair swaps.
Sune with the solved corner at the front-right; the left-hand pair swaps.
Sune with the solved corner at the front-right; the front-right and back-right corners swap.
Sune with the solved corner at the front-right; the two front corners swap.
Sune with the solved corner at the front-right and a diagonal swap to make.
Anti-sune shape with the solved corner at the front-right, and the corners already in order.
Anti-sune with the solved corner at the front-right; the back pair swaps.
Anti-sune with the solved corner at the front-right; the left-hand pair swaps.
Anti-sune with the solved corner at the front-right; the two right-hand corners swap.
Anti-sune with the solved corner at the front-right; the two front corners swap.
Anti-sune with the solved corner at the front-right and a diagonal swap left.
Two corners side by side show the top colour. Hold them at the front and check that the back-left corner is the one twisted clockwise. The corners are then already in order.
T shape with the solved pair at the front and the back-left corner twisted clockwise; the back pair swaps.
T shape in the T1 hold; the left-hand pair of corners swaps.
T shape in the T1 hold; the front-right and back-right corners swap.
T shape in the T1 hold; the two front corners swap.
T shape in the T1 hold, with a diagonal swap left.
Two solved corners side by side, held at the front, with the back-right corner twisted clockwise. The corners are already in order.
Headlights held with the solved pair at the front and the back-right corner clockwise; the back pair swaps.
Headlights in the U1 hold; the left-hand pair of corners swaps.
Headlights in the U1 hold; the front-right and back-right corners swap.
Headlights in the U1 hold; the two front corners swap.
Headlights in the U1 hold, with a diagonal swap left to make.
Two corners show the top colour and they sit diagonally — the bowtie. Hold them at the front-right and back-left with the front-left corner twisted clockwise; the corners are already in order.
Bowtie held with the solved corners front-right and back-left, front-left twisted clockwise; the back pair swaps.
Bowtie in the L1 hold; the left-hand pair swaps.
Bowtie in the L1 hold; the front-right and back-right corners swap.
Bowtie in the L1 hold; the two front corners swap.
Bowtie in the L1 hold, with a diagonal swap left over.
The top face is one colour and the corners still need moving; three of them cycle, or, counting the finishing U turn, two neighbours swap.
Top face solid, and the two corners that need to trade sit diagonally opposite.