The connection between mathematics and art goes back thousands of years. Mathematics has been used in the design of Gothic cathedrals, Rose windows, oriental rugs, mosaics and tilings. Geometric forms were fundamental to the cubists and many abstract expressionists, and award-winning sculptors have used topology as the basis for their pieces. Dutch artist M.C. Escher represented infinity, Möbius bands, tessellations, deformations, reflections, Platonic solids, spirals, symmetry, and the hyperbolic plane in his works.

Mathematicians and artists continue to create stunning works in all media and to explore the visualization of mathematics--origami, computer-generated landscapes, tesselations, fractals, anamorphic art, and more.

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Home > Kerry Mitchell: Mathematically-Inspired Images

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"Wormhole," by Kerry Mitchell. ©Kerry Mitchell This work was created using a technique very similar to that used in Penrose Pursuit image, also in this album. However, instead of drawing the lines forming the pursuit curves, this image was rendered buy shading the areas inside of the tiles. --- Kerry Mitchell Sep 29, 2015

"Proud," by Kerry Mitchell. ©Kerry Mitchell This image is in my Mandelbrot and Julia sets collection of images showing the dynamics of a formula under repeated iteration. I often find simple images to be the most compelling. I like to let the structure be the focal point, not necessarily the coloring methods of the color palette. --- Kerry Mitchell Sep 29, 2015

"Penrose Pursuit, 2011," by Kerry Mitchell. ©Kerry Mitchell This is a tessellation of Penrose tiles. In this set, there are two different tile shapes, a fat rhombus and a thin rhombus. Penrose tiles are remarkable because they can be arranged (as they are here) such that the tiling never repeats, no matter how many tiles are used. Also, each tile is filled with four pursuit curves, the dark curves from each corner to a point near the center of the tile. Imagine a mouse in each corner of the tile. At the same time, each mouse begins moving toward (pursuing) the next mouse. The tracks of the mice are pursuant curves. --- Kerry Mitchell Sep 29, 2015

"Naturally Textured 5, 2013," by Kerry Mitchell. ©Kerry Mitchell This image is in my Mandelbrot and Julia sets collection of images showing the dynamics of a formula under repeated iteration. --- Kerry Mitchell Sep 29, 2015

"Lincoln," by Kerry Mitchell. ©Kerry Mitchell This Lincoln image was created with math. The image is made up of 500 square tiles of five different types. Typically, I use these tiles to create a sona image, which is a continuous, closed curve around an array of points, such that the curve goes around each point once. In Lincoln, the dots are removed for clarity. The width of the curve was changed on every tile to mimic the grayscale level of that part of the portrait. --- [url=http://www.kerrymitchellart.com/]Kerry Mitchell[url] Sep 29, 2015

"Great Wave," by Kerry Mitchell. ©Kerry Mitchell The genesis of this image has nothing to do with waves; it is a representation of the complex numbers that can be expressed using the base 1 + i. Yet, the spirals inherent in the arithmetic are suggestive of Hokusai's 'The Great Wave Off Kanagawa'. --- Kerry Mitchell Sep 29, 2015

"Curiosity," by Kerry Mitchell. ©Kerry Mitchell This image is in my Mandelbrot and Julia sets collection of images showing the dynamics of a formula under repeated iteration. "Curiosity" celebrates both the unsung measure of central tendency, the harmonic mean, and the Curiosity rover’s landing on Mars in August 2012. --- Kerry Mitchell Sep 29, 2015