Hello,
I think I have discovered a new F2L trick. I don't know if anyone has introduced this trick before, so I may not be the first person to discover it.
View attachment 15228
Focus on the F2L pair comprising of the blue-orange edge (at the back in the top layer, only the blue colour is visible) and the white-orange-blue corner (on the front-left in the top layer). The F2L pieces are already set up to be inserted in the front right slot with R U R'. But before doing that, we have to rotate, or else we cannot insert it into the front right slot.
Instead of rotating and doing R U R', we can do this algorithm, keeping the corner on the front-left in the top layer and the edge at the back in the top layer: M (R U' R') U M'
What we are basically doing is pairing up the pieces with a slice move, inserting it into the front-right slot and then fixing the cross edge by moving the top layer and then a slice turn.
This algorithm is rotation-less and quite fast. However, I am still a little unsure if this algorithm is worth doing or will it be faster to just cube rotate and solve it normally. Please reply what you think about this algorithm. Feel free to say if it is helpful or not. I will be really thankful.
NOTE: This algorithm can be used for the other three slots, with the variations of the same algorithm.