Así se hacen las multiplicaciones al estilo maya.
The Wallace-Bolyai-Gerwien theorem states that any two polygons are equidecomposable: it is possible to cut any polygon into finitely many polygonal pieces and then rearrange them to obtain any other polygon.
The theorem doesn’t rely on the axiom of choice (unlike, for example, the more famous Banach-Tarski decomposition). Moreover, the decomposition and rearrangement (which consists of rotations and translations only) can by carried out “physically”: the pieces can, in theory, be cut with scissors from paper and reassembled by hand.
The problem about whether a hinged dissection exists, such as the ones in the animation, remained open until 2007. The paper Hinged Dissections Exist presents a method which always works to find a hinged dissection.
This woman deserves a round of applause and a throne of gold. This is the most realistic & amazing thing for someone to say for this generation of students. I wasn’t able to go to college this year because my parents can’t afford to send me and I had every scholarship, grant, loan known to man and it still wouldn’t work. Finally someone gets it!
SO MANY TABS