Sunday, April 10, 2016

week 2: math+art


I like math, because I think it’s the most basic and fundamental way for us to explore this world, at the same time it has so many variations that we have to use different perspectives to view even one simple example. Not so surprising for me, we have to use art a lot in solving mathematical problems. For example, since primary school, we could draw the three views of blocks, use x, y and z axis to explain the existence of an object, depict the shadow of an object using similar triangles…

 
But after learning this lecture, I found that the development of art is also indispensible of scientific evolution. In the video, I start to think about the origin of “zero”. People didn’t know what is exactly a “nothing” in the past, so they came up with all kinds of ideas to represent this strange phenomenon. Also, perspective is a great concern in both art and science. Only with appropriate perspective and vanishing point can we make the whole picture more realistic. Another important topic the professor talks about is the golden ratio. We are often confused that why something looks more comfortable than the other, and the reason is that it uses the concept of golden ratio. For example, I tried to draw the symbol of Apple but always failed, my picture was strange and not so mellow and full, but actually the Apple symbol strictly follows the standard of golden ratio.

 (apple symbol uses the golden ratio)



   
The article “The Fourth Dimension and Non-Euclidean Geometry in Modern Art: Conclusion” by Linda Henderson provides us a solid ground for the combination of math and art. The concept of fourth dimension takes a long time to be accepted by most artists, and they started to incorporate time into their work, left us with some really beautiful and creative pieces. Among these art work, I like “the Persistence of Memory” by Salvador Dali best. I am first attracted by the three clocks in the picture. It’s clear that clocks represent time. In my opinion, clocks should be flat, but here the clocks have crooked surface, so does it mean the time is also curving? The answer consists with Einstein’s relativity theorem. Sometimes we feel that the time goes fast, sometimes slowly, at some moments we feel we are in the past… But after all time is everlasting, just like the endless ocean in the picture and our own memory is limited.
                                                                              (the presistence of Memory)
 

It seems to us that three-dimension, four-dimension are reasonable now, but what if some one comes up with even higher dimensions and new ideas. Just like the novel “Flatland”, the people live in flatland cannot understand the existence of spaceland. When there is new theorem coming out, people suspect, challenge and sneer, but the truth is always truth. The common goal of art, math and science is to improve our understanding of the world, whatever in aesthetic way or scientific way, and we have to let it happen.





 Sources:
Steven Levandosky. "MATLAB Tutorial". Stanford University. 2001. Web. Apr 8, 2016. http://mathcs.holycross.edu/~spl/MATLAB/matlab.html

David Cole. "Does the Apple Logo Really Adhere To the Golden Ratio?". GIZMODO. Jun 5, 2013. Web. Apr 8, 2016. http://gizmodo.com/does-the-apple-logo-really-adhere-to-the-golden-ratio-511410550

Paul Martin. ''Apple and the Golden Ratio". Paul Martin's Blog. July 18, 2011. Web. Apr 9, 2016.

Kristy Puchko. "15 Things You Didn't Know About 'The Persistence Of Memory' ". Mental_floss. Apr 9, 2015. Web. Apr 8, 2016. http://mentalfloss.com/article/62725/15-things-you-didnt-know-about-persistence-memory

Linda Dalrymple Henderson. “The Fourth Dimension and Non-Euclidean Geometry in Modern Art: Conclusion.” Leonardo. 17.3 (1984): 205-210. Print.


Abbott, Edwin. “Flatland: A Romance of Many Dimensions.” Web. Apr 9, 2016. http://www.ibiblio.org/eldritch/eaa/FL.HTM







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