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Tribute to M.C. Escher the Artist.

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College work I created as a tribute to M.C. Escher.

BIOGRAPHY:

Maurits Cornelis Escher Dutch: (17 June 1898 – 27 March 1972), usually referred to as M. C. Escher, was a Dutch graphic artist. He is known for his often mathematically inspired woodcutslithographs, and mezzotints. These feature impossible constructions, explorations of infinity, architecture, and tessellations.

Escher’s first print of an impossible reality was Still Life and Street, 1937. His artistic expression was created from images in his mind, rather than directly from observations and travels to other countries. Well known examples of his work include Drawing Hands, a work in which two hands are shown, each drawing the other; Sky and Water, in which light plays on shadow to morph the water background behind fish figures into bird figures on a sky background; and Ascending and Descending, in which lines of people ascend and descend stairs in an infinite loop, on a construction which is impossible to build and possible to draw only by taking advantage of quirks of perception and perspective.

He worked primarily in the media of lithographs and woodcuts, though the few mezzotints he made are considered to be masterpieces of the technique. In his graphic art, he portrayed mathematical relationships among shapes, figures and space. Additionally, he explored interlocking figures using black and white to enhance different dimensions. Integrated into his prints were mirror images of cones, spheres, cubes, rings and spirals. Escher was left-handed.

In 1941, Escher summarized his findings in a sketchbook, which he labeled Regelmatige vlakverdeling in asymmetrische congruente veelhoeken (“Regular division of the plane with asymmetric congruent polygons”). His intention in writing this was to aid himself in integrating mathematics into art. Escher is considered a research mathematician of his time because of his documentation with this paper, in which he studied color based division, and developed a system of categorizing combinations of shape, color and symmetrical properties.

Overall, his early love of Roman and Italian landscapes and of nature led to his interest in the concept of regular division of a plane, which he applied in over 150 colored works. Other mathematical principles evidenced in his works include the superposition of a hyperbolic plane on a fixed 2-dimensional plane, and the incorporation of three-dimensional objects such as spheres, columns and cubes into his works. For example, in a print called “Reptiles“, he combined two and three-dimensional images. In one of his papers, Escher emphasized the importance of dimensionality and described himself as “irritated” by flat shapes: “I make them come out of the plane.”

Biography Source Link : http://en.wikipedia.org/wiki/M._C._Escher

United Human Gravity

If we gather all humans on this planet and place them near each other in one city or one country, will their weight and targeted gravity shift the Earth’s axis? Imagine Earth as a bowling ball that is spinning on a smooth surface. If weight is evenly distributed? It will spin in its place due to its balanced radius. Now if you attach a heavy piece of metal to one of its three finger holes and spin again? It will spin erratically and change position due to the newly added mass. Same principal applies to our planet. Our combined human weight will add pressure to one specific location and pierce through to the inner most core with the aid of gravity. Now you might say what about the mass of the mountains and natural forming continents? Well that can play a role as well. But I believe the human soul and human gravity is sure to play a bigger role. This concept may shift the current Earth location with respect to the universe and it may also speed up the day cycle of 24 hrs. I am curious to research and see if today’s current spinning axis is trailing the heaviest mass combination of land and ocean? Whether it has an effect or not, the mere activity and participation of all humans will be a monumental triumph in itself. It will bring us together and force us to communicate and thus expand our understanding of one another as a specie.
Majd Nazo