Definition:Equidecomposable

Definition
Two sets $S, T \subset \R^n$ are said to be equidecomposable there exists a set:


 * $X = \set {A_1, \ldots, A_m} \subset \powerset {\R^n}$

where $\powerset {\R^n}$ is the power set of $\R^n$, such that both $S$ and $T$ are decomposable into the elements of $X$.