Petrus

Lars Petrus's method builds the first two layers as blocks rather than pairs, and orients the edges before finishing them, so the end of F2L needs only R and U turns and the last layer starts with its edges oriented, as in ZZ.

Build a 2x2x2 block (a corner, its three edges and the centres around them) anywhere, then extend it to a 2x2x3 by adding a side's corner and two edges. Both steps are intuitive; plan the first block in inspection.

Hold the block at the back left. An edge is bad if it cannot be solved with R and U turns alone: look at the U and D stickers of the edges (or their F and B stickers in the middle layer). Fix bad edges in pairs, usually by bringing them to the front and turning F.

Finish the first two layers with R and U turns: the remaining two pairs and the last cross edges fit in the R and U layers without breaking the block.