The pieces on the white and yellow sides are the same as on the 3 by 3 piece wise. Looking at the cube in the getting one picture, the piece with red and blue in the center (no white or yellow) is a center. There are 2 types of edges. There are the edges that seem like twisted rectangles and there is the 2 colored piece that in the picture above is blue and white.

This cube solves like a fisher. There is a possible parity, but it is the same as on the fisher cube. The cube moves like a fisher cube though. You have to solve the white cross like a fisher cube also. You have to solve the rest but a little different.

Parity on the twist cube is like the 4 by 4 and fisher cubes, because it has one or three yellow edges when making the cross. Shown to the left (3). You solve it with the same algorithm as the fisher cube, but different than the 4 by 4 algorithm. You hold one of the correct edges at you. As shown.The algorithm is: U R U' R' U' F' U F U2 U R U' R' U' F' U F