Sunday, April 12, 2015

Math + Art (Week 2)


Math and Art sounds like the most two extremely different concepts. However, in fact, math and art is quite relevant especially regarding to the geometry, symmetry, optic, and golden ratio. Based on these mathematical ideas and natural patterns, the more realistic drawing and artworks would be created no matter what the artist intended or not. From Henderson's article, she mentions the emergence of the fourth dimension by Einstein's Relative Theory. Motivated a lot by his theory, many artistic stereotype was completely broken that let them depart from visual reality and reject the one-point perspective system. How this is great can be seen in the novel, Flatland, that it's almost impossible for the dwellers in the flatland to imagine three-dimensional and additional world but trapped in their own second dimension. Art tries to cooperate with math to comprehend higher dimensions to liberate themselves.

In a similar way, professor Vesna said a study of mathematical forms and its signs is very critical for art as well. She picks Leonardo Da Vinci as one of the prominent figure who put the math and the art on the same line as a single concept. His drawings are mathematically well organized.


The Last Supper 








Vitruvian Man

This mathematical pattern is everywhere you go. The movie, Pi, claims the natural features of mathematics. In this regard, you can see tons of mathematical patterns everywhere. All the things you see can be represented as a number and patterns in nature. Ancient architectures such as Parthenon in Athene and Egyptian Pyramid are both built based on a certain mathematical rule of golden ratio; the vertical lines and dimensional patterns of this structure contains aesthetic value;


Today, you also can fine a collaboration of math and art. One of the example you can find out is "Mathematical Origami." This is just regarded to be a fun thing to do with a small sheet of paper. But, it also has its own mathematical patterns. Dr. Robert Lang, Mathematical Origami artist, argues that Origami used to be an folding paper before, but now, beyond what it used to be, it is mathematically more valuable. Origami's crease patterns could be an underlying blueprint for its figure: 2-colorability, any interior vertex: M - V = 2, alternate angles around the vertex, and no self-intersection at overlaps. Several math rules with folding one sheet of paper without cutting can lead to aesthetic beauty.


Black Forest Cuckoo Clock.
The video, Origami Moment, additionally helps understanding of folding Origami and narrator highlights, "A wonderful aspects of Origami is that it brings together art and science." Here, the modular work of Origami eventually comes together to the polyhedron feature.


It was all interesting to connect math and art on the same line that helped me understand the art as a large patterns of nature. Without a mathematics, art wouldn't have had that complete form of beauty. In conclusion, mathematic, science, and art is all relevant in a certain way that contains a pattern no matter what in its expression. With a mathematical infrastructure, science can be emerged and develops several techniques, and other way, artistic aesthetics can be created through artworks. 


Citation:
Abbott, Edwin. “Flatland: A Romance of Many Dimensions.” N.p., n.d. Web. 12 Oct. 2012. <https://cole.uconline.edu/content>.

An Origami Moment. Youtube. KCET Online, 5 Sept. 2012. Web. 12 Apr. 2015. <https://youtu.be/tVMgjIyBAPo>.

Henderson, Linda. “The Fourth Dimension and Non-Euclidean Geometry in Modern Art.” N.p., n.d. Web. 12 Oct. 2012. <https://cole.uconline.edu/content>.

Meisner, Gary. "The Parthenon and Phi, the Golden Ratio." Phi 1618 The Golden Number. N.p., 20 Jan. 2013. Web. 13 Apr. 2015. <http://www.goldennumber.net/parthenon-phi-golden-ratio/>.

Pi Movie Trailer. Youtube. N.p., n.d. Web. 12 Apr. 2015. <https://www.youtube.com/watch?feature=player_embedded&v=oQ1sZSCz47w>.

Robert Lang: The Math and Magic of Origami. Perf. Robert Lang. Youtube. N.p., 31 July 2008. Web. 12 Apr. 2015. <https://youtu.be/NYKcOFQCeno>.

Vesna, Victoria. “Mathematics.” Lecture. CoLE DESMA 9. Web. <https://cole.uconline.edu/~UCLA-201209-12F-DESMA-9-1#l=Week-2-Assignment/id4287887>.

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