Maurits Carnelis Escher: Mathematical Influence In Art

The work of Maurits Carnelis Escher (M.C. Escher) is widely considered the most popular example of the mathematical influence in art. Though never formally trained in math, Escher's initial interest in decorative art sparked a curiosity in certain mathematical areas such as geometric shapes, tessellations and spatial planes/demensions. His interest in both aesthetic and logic resulted in provoking visual representations of multiple dimension. Escher's understanding of mathematics in combination with his artistic skill provides a rare translation between the seemingly separate languages of math and art. "In mathematical quarters, the regular division of the plane has been considered theoretically . . . Does this mean that it is an exclusively
The most popular were the Platonic solids, the only five convex regular polyhedrons. These shapes are marveled for unique dimensions: all points (plus every point along the straight line segments connecting them) are within the objects, as well as identical faces with same number of faces around each vortex. In translucent wood work,'Four Regular Solids,' Escher intersected four of the five Platonic solids with all their symmetries perfectly aligned allowing four solids to be seen at once. In 'Order and Chaos' he connected the shapes of the solids once again only once connected stellated the shape, replacing the faces with solid triangles, which making a strong three dimensional star shape. Another famous work with connected solids is 'Stars,' in which the solids are connected in various ways without their faces, showing an amazing series of complex connected lines. The influence of math is quite apparent in Escher's work, as it is the foundation of his subject matter and also anchors his aesthetic. However, his addition of familiar subjects, such as lizards or birds, bring a unique sense of identification and curiosity. Instead of depicting only mathematical structures or influenced patterns, Escher brings common life elements into his calculated planes. Fellow mathematicians enjoyed this aspect of the work as it gave a deeper point of reference in defining the spacial illusions. However, perhaps more impressive, this attracted the attention of the public ignorant to advanced math. These real life elements of his work sparked a curiosity and engagement, eventually developing into a long stare in attempt to fully understand the optical illusions. Even the subtle or seemingly random surroundings of broken glass, pottery and egg shell in 'Order and Chaos' bring a full attention and respect to the noble wholeness and proud completeness of this constructed geometric