Skewb methods: Sarah, Ranzha and Kirjava–Meep

The Skewb turns around its corners: each turn moves half the puzzle. It has 8 corners and 6 centres. Sarah's method (the standard for speed) solves a first layer (a centre with its four corners, planned in inspection), then the last layer: the four top corners and the five remaining centres, in one algorithm (Sarah's advanced) or two (intermediate: corners, then centres).

Notation, as on the algorithm sheets: F, R, B and L turn the top corners at the front-right, back-right, back-left and front-left; lowercase f, r, b and l the corner below each. Each is a third of a turn, clockwise seen from that corner; x, y and z turn the whole puzzle as on a cube. The algorithms include their rotations: hold the puzzle as the case is drawn.

The beginner approach solves the remaining corners, then the opposite centre, then the side centres. Intermediate combines the corners and opposite centre into the opposite-layer step, then finishes the side centres. Advanced combines the entire remaining puzzle after the first layer. Start with reliable sledge and hedge fingertricks, then learn to predict the remaining case during the final first-layer insertion.

Finish a first layer and a side centre, then solve the remaining centres and corners. L4C handles the centres while leaving corner orientation; CLL finishes the corners without disturbing the centres. L4C+CLL combines those finishes. Recognition must include the side centre already solved: a centre arrangement that looks the same after a regrip may have a different corner case.

A corners-first alternative. CLL/EG starts with an oriented bottom face and solves the other corners while ignoring centres. CLS admits a last bottom corner twisted in its slot. After solving all corners, finish the centres. A face that merely shows one colour is not necessarily a solved layer: permutation and the two corner orbits matter.