Impossiball

The Impossiball in its solved state.
The Impossiball in a scrambled state.
The Impossiball partway through a turn, showing how the pieces lift up.

The Impossiball is a rounded icosahedral puzzle similar to the Rubik's Cube. It has a total of 20 movable pieces to rearrange, which is the same as the Rubik's Cube, but all of the Impossiball's pieces are corners, like the Pocket Cube.