Class Preserving Dissections of Convex Quadrilaterals
Dan Ismailescu, Adam Vojdany · 2009
Abstract. Given a convex quadrilateral Q having a certain property P, we are interested in finding a dissection of Q into a finite number of smaller convex quadrilaterals, each of which has property P as well. In particular, we prove that every cyclic, orthodiagonal, or circumscribed quadrilateral can be dissected into cyclic, orthodiagonal, or circumscribed quadrilaterals, respectively. The problem becomes much more interesting if we restrict our study to a particular type of partition we call grid dissection. 1.