Sunday, April 12, 2015

Week 2: Math + Art

Math is often regarded as the opposite of art—one discipline dealing with strict number manipulation, the other driven solely by creativity. One of two misconceptions here is that pure mathematics also thrives on creativity. In The New Yorker article on solving pure mathematical problems, Alec Wilkinson aptly describes pure math as “as close to art and philosophy as it is to engineering.” The second misconception is that mathematics, pure and applied, is often deeply intertwined with art.

"Pi Landscape" by Daniel Tammet, a savant with number color synesthsia

This week’s lecture video served to emphasize the geometric and mathematical influences and inevitable presence in early art. One early artistic problem was that of perspective, or how to create a three dimensional image on a two dimensional plane. Giotto was the first to discover that the impression of angles could be created with line inclinations, but Brunelleschi was credited with the formulation of linear perspective using a vanishing point.

Vanishing Point, a point where all parallel lines converge

Another piece of evidence for math’s critical role in art is the presence of math in nature. The Golden Ratio, a 1:1.618 fractal, can often be used to characterize flora in nature. Due to it’s slow converging ratio, is the most efficient ratio at which new leaves should grow. This number appears not only in nature, but also in a number of famous art works, such as Leonardo da Vinci’s Mona Lisa. The Golden Ratio’s aesthetic significance stems from its intrinsically pleasing nature. This quality combined with its omnipresence serves to illustrate the inevitable role of mathematics in art.

Mona Lisa, with Golden Ratio proportions drawn out


Nathan Selikoff is an artist who uses mathematics and code to create interactive art. When asked about the significance of his work, he prefaces “It’s not about the math… I feel like my work is successful when people see beauty in it, when they have fun with it, and when they are intrigued with it.” Artists and scientists use mathematics to add a different dimension of value to their work, a value that doesn’t necessarily have to involve math at all. Mathematics is valuable to art because it creates perspective, geometrically and emotionally. Although the two may seem distinct today, they have been and always will be interrelated.

"Beautiful Chaos" by Nathan Selikoff, an interactive art piece


Vesna, Victoria. "Mathematics Pt. 1 Zero Mean Golden Ratio." Web. 12 Apr. 2015. <https://www.youtube.com/watch?v=mMmq5B1LKDg>. 

Chown, Marcus. "1.618 Is The Magic Number." The Guardian. The Guardian, 15 Jan. 2003. Web. 12 Apr. 2015. <http://www.theguardian.com/science/2003/jan/16/science.research1>. 

Wilkinson, Alec. "Solving an Unsolvable Math Problem - The New Yorker."The New Yorker. The New Yorker, 2 Feb. 2015. Web. 06 Apr. 2015. 

Selikoff, Nathan. "Nathan Selikoff | Fine Artist Playing with Interactivity, Math, Code." Nathan Selikoff. N.p., n.d. Web. 13 Apr. 2015. <http://nathanselikoff.com/>. 

Frantz, Marc. 'Lesson 3: Vanishing Points And Looking At Art'. 2000. Presentation.

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