M.C.Escher: Mathematician First, Artist Last

M.C. Escher contributed with tessellations, which are arranged closed shapes that cover a plane without touching or overlapping and no gaps. He was intrigued by "metamorphoses", during 1957 his essay on tessellations has a quote in which he remarked: "In mathematical quarters, the regular division of the plane has been considered theoretically....Does this mean that it is an exclusively mathematical question? In my opinion, it does not. Mathematicians have opened the gate leading to an extensive domain but they have not entered this domain themselves; they are more interested in the way in which the gate is opened than in the garden lying behind it." Mathematicians showed that all of the regular polygons, only the triangle, square and hexagon should be used in tessellations. Escher used reflections, glide reflections, translations, and rotations to widen his pattern availability.…