A Theorem on the Tangram

The article that I will be presenting on discusses a theorem about the number of convex polygons that can be created with a tangram set (an assortment of 7 polygons).  Leading up to the proof of the theorem, four lemmas are necessary to lay down the preliminary foundation.  It will be these four lemmas that I present and explain during my first talk, and in my second one I will discuss the proof of the actual theorem.  The basis of these lemmas hinges on the fact that each piece in the tangram set can be made out of  “unit” isosceles right triangles-two of which are included in the original set.



Fu Traing Wang and Chuan-Chih Hsiung

The American Mathematical Monthly 
Vol. 49, No. 9 (Nov., 1942), pp. 596-599

Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/2303340