Dada Sasha

asapscience:

via Reddit user cgibbard: “The first transformation is the classic hinged dissection of an equilateral triangle into a square popularised by Dudeney.
The Wallace-Bolyai-Gerwien theorem shows that any two polygons with equal area must admit a dissection into finitely many pieces where one is allowed to arbitrarily rotate and translate the pieces to go from one polygon to the other. The problem about whether a hinged dissection exists remained open until 2007. You can read the paper here, which presents a method which always works to find a hinged dissection.”

asapscience:

via Reddit user cgibbard: “The first transformation is the classic hinged dissection of an equilateral triangle into a square popularised by Dudeney.

The Wallace-Bolyai-Gerwien theorem shows that any two polygons with equal area must admit a dissection into finitely many pieces where one is allowed to arbitrarily rotate and translate the pieces to go from one polygon to the other. The problem about whether a hinged dissection exists remained open until 2007. You can read the paper here, which presents a method which always works to find a hinged dissection.”