Definition:Equidecomposable Sets

Definition

Two sets $S, T \subset \R^n$ are said to be equidecomposable if and only if 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 $X$.

Also see

• Results about equidecomposable sets can be found here.