Answer to Question #96038 in Differential Geometry | Topology for Lala

Question

Bob claims that he can map rectangle 1 to rectangle 2

Answer 1

Rectangles can be absolutely different. For example [0,1]x[0,1] and [150,1000]x[-14,0]. A transformation should transform uniformly. For example, rectangle corners should be transformed one to one. For example coordinates (0,0) should turn to (150,-14).