Tuesday, April 7, 2015

Math and Art from Nature to Modern Society

The juxtaposition of math and art has long been used to demonstrate to completely different areas of creativity and intelligence.  While many still believe in the distinctness of these two realms, I have always appreciated some similarities in the deep roots of mathematics and art. 

In general, art and math originate from observations of nature.  Art hopes to replicate or interpret the aesthetics of nature, while math tends to model and derive patterns in nature.  From the overview of African Fractals by Ron Eglash, I was introduced to fractals, which are patterns that repeat themselves at different scales.  This was modeled in design, computers, art, etc. but is seen everywhere in nature, as shown in the image of the fern below.



Because of this, mathematical concepts such as the Vanishing Points, explained by the Marc Frantz lesson “Vanishing Points and Looking at Art”, which use geometry and mathematical principles to predict artistic dimensions follow naturally.  Because nature is the source of mathematics as well as the source of our visual experience, concepts like vanishing points can be applied to artistic style to provide a natural image/artistic experience, as demonstrated by the charcoal picture below.



In direct contrast to concepts like vanishing points that provide art with a more realistic perspective, artists like M.C. Escher who like to bend the perspective of the observer to unrealistic mathematical manipulations provide a whole new era of art.  In the blossoming of modern art in the mid 1900s, he introduced “an extraordinary visualization of mathematical principles.  One example of this was his tessellations, or “arrangements of closed shapes that cover a plane without overlapping”, which he distorted as in Cycle from 1938 (as seen below)



Through these distinct demonstrations of art and math originating from nature and math helping art imitate and distort one’s perspective of nature, we notice that art and math are not so distinct, but rather deeply intertwined in all ways.


References

Ach, Sanjay. Real Lady Ferns. 2007. Web. 7 Apr. 2015.
Eglash, Ron. 'African Fractals'. Ccd.rpi.edu. N.p., 2015. Web. 7 Apr. 2015.
Frantz, Marc. 'Lesson 3: Vanishing Points And Looking At Art'. 2000. Presentation.
Platonic Realms,. 'The Mathematical Art Of M.C. Escher'. N.p., 2015. Web. 7 Apr. 2015.

3 comments:

  1. Great overview of the interactions between math and art! However I would have liked more of your personal analysis on the subject :I For instance, what do you think about the use of math in the realm of more creative works? Some of Escher's peices rely heavily on fitting the illustrations to a fixed perspective or pattern such as the self-protrait reflected on the orbs, or the tesselations you mentioned above. Does conforming the work to these restrictions of a repeating pattern or certain distorted perspective add to the art, or does it restrict some of the freedoms of the peice and limit some of the artist's creative freedoms? The tesselations in particular can come across as shallow, such as Sky and Water I (1938). What if the fish does not want to turn into a duck, and visa-versa? Other than that, very good post. All the best!

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  2. I really like the work by M.C. Escher. It is just amazing. I like Dutch art and I became a big fan for this Dutch graphic artist since very young. Did you also looks at his other works. He is very good at making design from woodcuts, lithographs, and mezzotints.

    But I actually have a question on it. He was trying to explore infinity during some his art works. As we all know, infinity is something could not be represented in math. But when he bring this concept into the graphic art, I sort of accept this idea and feel like infinity is another amazing world. I want to know what is your opinions on infinity.

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  3. I really enjoyed reading your post and seeing your input. The pictures you chose really caught my eye, especially the one by M.C. Escher. I find his work to be mesmerizing and mind-blowing. I really like how you found the connection between arts and science and expanded upon the topic. Seeing how art is used to reflect nature intrigued me. Everything originates from nature, and artists subconsciously use it in their art.

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