In order to play with real checkers pieces, the black pieces represent the cat,
the white pieces represent the hounds and the die represnt phases and measurements.
A classical cat is represented by a single black piece.
Quantum cats are represented by several pieces,
where 2, 3 and 4 stacked pieces represent the left, center and right cats, respectively.
The cat with a different phase than the others is represented by the die.
A classical hound is represented by a single white piece.
Quantum dogs are represented by several pieces, similarly to the quantum cats.
Hence, same-sized black-and-white stacks represent the same quantum state.