Easy Cases of Commutators for corners can be solved in 8 moves.
A cycle is considered easy case(solved in 8 moves) if:
-it has two "similar" corners in one face.
-it has no adjacent "dissimilar" corners.
----(if all the 3 corners are "similar" to each other,it is not an easy case; it is an A perm. A perm is 9moves..^^)
example of "similar" corners-
-UBL - FUL -----similar in Left Face
-UBL - ULF -----similar in Up Face
-UBL - BLD -----similar in Left Face
-UBL - LDB -----similar in Back Face
-UBL - UFR -----similar in Up Face
---these corners are "similar" because the prioritized sticker of corner1 can reach the position of the prioritized sticker of corner2 in a single move, and the other way around..^^
example of adjacent "dissimilar" corners:
-UBL - LUF
-UBL - DBL
all easy case algorithms of commutators requires 3 faces to turn..
the two "similar" corners are in the same face, while the other corner is in the opposite face.
"bridge" move is used to bring a corner from the "similar" corners' face to the opposite face.
--the bridge move must be a single move. no R2, L2, U2, etc.
--when you bring the corner using a "bridge" move to the opposite face, the corner must be "similar" with the corner in that opposite face.
example of an easy case algorithm.
UBL - FRD - LFD
this case is easy case because:
--there are "similar corners"
--there are no adjacent dissimilar corner.(even though UBL and LFD are dissimilar, they are not adjacent)
FRD and LFD are the similar corners, so the face where they are free to move is the D face.
therefore, the opposite face is the UP face
i will use the R face for my bridge move..
since the corner on the opposite face has to go to the FRD, the FRD corner is the first corner to be brought to the opposite face, using the bridge move.
---R
bring the UBL corner to the new position of FRD, and bring the FRD to its original position..
---U2 R'
bring the other "similar" corner to the position of FRD, and reverse the moves when you switch the first two corners..
---D R U2 R'
bring the FLD to its original position..
---D'
Why put the description and tags in English if you don't speak it in the video???
riffz 1 year ago 3