Bob Burton's Rubik's Cube Page

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These are the 42 distinct cases for the placement of a corner and its matching edge from the F2L and the algorithms I use for them. These algorithms appear EXACTLY as I perform them when I am solving the first two layers, in speedcubing notation with rotations included in the algorithm. It should be noted that these are the algorithms that I find easiest to perform. However, you may find other algorithms better-suited for your own hands, so it is recommended to try many different algorithms for the same situation to find which one works best for your own style of cubing. Videos will be coming soon.
If you do not understand any of the notation, please visit the notation page.
At the very bottom of the page, I have listed some links to other pages with ZBF2L algorithms.

The Most Important Cases
These are the basic and most important cases. Almost every F2L algorithm inserts the pair after first transforming the case into one of these, so by knowing these 32 algorithms, you could solve just about any ZBF2L case by first making that transformation.

Corner Correct In First Layer
In these cases, the corner is already completely solved.

Edge Correct, Corner Slot Free
In this group, the edge is already solved, but the corner is in the U-layer.

Corner In First Layer Twisted Clockwise
In this group, the corner is in the first layer and its sticker with the cross-color is on the F-face.

Corner In First Layer Twisted Counter-Clockwise
These cases are just the mirrors of the group above.

Corner In U-Layer With Cross-Color on U-Face
In these cases, the corner's sticker with the cross color will be on the U-face, making the corner completely "upside-down" of where it needs to be.