Mathematicians have proven that Henry Dudeney’s 1907 four-piece dissection of an equilateral triangle into a square is optimal. Using matching diagrams, researchers from JAIST and MIT showed that no three-piece solution exists, marking the first formal proof of optimality in dissection problems. Their work has applications in mathematics, engineering, and material sciences. ======================================================================================= Researchers have demonstrated, using a novel approach, that the original solution to Dudeney’s famous dissection problem is indeed the optimal one. In 1907, English author and mathematician Henry Ernest Dudeney posed a fascinating puzzle: Can an equilateral triangle be cut into the fewest possible pieces that can...