Starting with 3.14159265, the decimal digits of pi run on forever, and there's no discernible pattern to ease the task of compiling (or memorizing) these digits. Computer scientists have so far succeeded in computing 50 trillion decimal digits of pi.
Both a mathematician and an artist, Sims taught for many years at the Ringling College of Art + Design in Sarasota, Fla. He's passionately interested in the collision of mathematical ideas and visual culture.
Pi is one of the few mathematical constants that have successfully entered the pop-culture psyche, Sims noted. Pi has appeared as the title of movie, for instance, and as the name of a perfume.
A while ago, Sims created a visualization of pi's digits in a digital video format—with music by Frank Rothkamm and the participation of Paul D. Miller, who was better known on the New York City scene and elsewhere as DJ Spooky. In this visualization, each of the digits from 0 to 9 is represented by its own color on a vast grid of squares.
Seeing Pi by John Sims.
Working in base 2 and using the colors black and white, Sims then created Black White Pi. In base 3, using red, white, and blue, he made American Pi.
From left to right, Seeing Pi, American Pi, and Black White Pi. Courtesy of John Sims.
A second pi-based project involved a collaboration with conceptual artist Sol LeWitt (1928-2007). LeWitt's instructions were to put 1,000 straight lines inside a square. Sims achieved that result by dividing each side of the square into 10 parts (like the axes of a graph), labeling the divisions from 0 to 9, and drawing lines from a division on one side to a division on an adjacent side. The lines followed successive digits of pi from side to side, starting at the top and moving in a clockwise direction until the wall drawing had 1,000 lines.
Sims' former student, Brandon Styza, drew the lines. The result formed the basis for a LeWitt wall drawing in the math lounge at Wesleyan University.
In 2006, before heading for New York City, Sims completed a number of pi works, including several quilts that were constructed by an Amish quilting group in Sarasota. These artworks were on display at Sarasota's mack b gallery.
John Sims working with a group of Amish women to create a pi-based quilt. Courtesy of John Sims.
Sims started out with a drawing of pi's decimal digits on a square grid, with successive digits forming a clockwise spiral from the center.
A square spiral of the digits of pi. Photo by Tobey Albright.
In the gallery, this drawing was displayed with a phonograph that played a recording of Sims reciting the digits of pi in order. A second track presented the digits in German.
With each digit from 0 to 9 mapped to a different color (but not black or white), the central portion of the drawing was then converted into a striking, square quilt of colored patches, with a black border. Sims called the creation Pi sans Salt and Pepper.
Pi sans Salt and Pepper by John Sims. The square quilt is 8 feet wide. Photo by Tobey Albright.
In a variation on this pi-based theme, another quilt designed by Sims featured several, differently color-coded representations of pi. It was called Civil Pi Movement.
In this pi-based quilt, called Civil Pi Movement, the upper left unit shows the first 36 binary digits of pi (0 = white and 1 = black) and the lower right unit reverses the color scheme. The upper right unit shows the first 36 ternary digits of pi (0 = dark blue, 1 = red, and 2 = white) and the lower left unit uses a different color scheme (0 = green, 1 = red, and 2 = black). The center unit matches the center of Pi sans Salt and Pepper. The square quilt is 8 feet wide. Photo by Tobey Albright.
"The mathematical art that I seek to develop combines mathematical language and analysis with the expressiveness and creativity of the process to make expressive visual theorems," Sims said. "To see mathematically, one draws from creativity and intuition, as in the case with the art process itself."
See also "Fractal Roots and Artful Math" and "Form Plus Function."
Originally posted May 8, 2006
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