One way to teach Pythagoras' Theorem is through use of puzzles. Marshall (2004:1) points out that, "in creating their individual solutions to puzzles, students may reveal mathematical thinking on which approaches to the standard curriculum could be based." This article describes a puzzle-like spatial structuring activity related to Pythagoras' Theorem. The activity described is based on partitioning a square into four figures and constructing two new squares from them. (Contains 17 figures, 2 tables and 1 note.)