Kaminett

Kaminett is a hybrid backgammon/chinese checkers game. Each player has a set of 6 different size 3D pieces which are each 1x1xN (with N varying from 1 to 6). These all start upright on home squares. The object is to move them across the board.

Each turn, the player rolls a die and moves the corresponding piece. A piece moves by flipping it 90 degrees in a chosen direction. On the first move, this means laying the upright piece down so that it occupies N squares on the board.

The big catch is that you can only move to unoccupied squares.