Sunday, April 16, 2017

Week 2: Math+Art

Sunday, April 16th

Before enrolling in the class, I didn't realize how much math had influenced, and essentially is needed, in art. Professor Vesna discusses the idea of the Golden Ratio, geometry, and symmetry, all mathematical ideas, which are needed in order to make art and architecture. With the implementation of these mathematical ideas, the portraits were more realistic than before. I learned that the rules Brahmagupta made long ago, regarding zero was a paradigm shift. From then on, there have been many different shifts in the view of math as an art. For example, Brunelleschi created the first formulation of linear perspective in 1413. In order to draw, paint, or sculpt these models, sometimes, it is helpful to use mathematical formulas to calculate or measure dimensions and find area or volume. The vanishing point is one important idea used to create art.


   Symmetry is widely used in math and 
   can also be employed to make art and architecture.

The Mona Lisa and the Vitruvian man, both created by Leonardo da Vinci, involved the use of symmetry, geometry, and proportions to create the artworks. Leonardo da Vinci talks about the perspective and developed mathematical formulas to accurately judge for example, the relationship between distance and the eye to object as well as the science of involving intersecting planes.

                                                            The Vitruvian man is one of Da Vinci's 
                                                                          works that utilizes the idea of symmety.


I used to play with origami a lot when I was younger. Making the different shapes required precise folding and symmetry within in order to produce a perfect crane or boat. Writing this today, made me realize that origami involves math; it basically literally is math. The foldings and shape all depend on symmetry and geometry in order to produce the perfect 3-D model of whatever that person is making. Lang is someone who took "engineering principles to fold mind-blowingly intricate designs".

    Origami is just one of many forms of art
    which uses math to produce 3-D figures.


From this week, I learned that artists use mathematics to further detail their masterpieces. At first, I never realized how much artists relied on mathematics to create art. The intricate designs produced come from knowing ideas like the Golden Ratio, knowing how to use expressions, and other ideas. The juxtaposition behind the two can be seen at first glance; the two are seen as very different. However, looking closer, we can start to understand that mathematics, art, and science are all related in a way a lot more closely than what was first thought of.



Frantz, Marc. Lesson 3: Vanishing Points and Looking at Art. 2000. Print.

leonardo's vitruvian man. N.p., N.d. Web. 16 Apr. 2017.
https://leonardodavinci.stanford.edu/submissions/clabaugh/history/leonardo.html

Lang, J. Robert. Robert J. Lang Origami. N.p. 2004. Web. 16 Apr. 2017.
http://www.langorigami.com/

Robert Lang: The math and magic of origami. TED talk. Feb 2008. Web. 16 Apr. 2017.
https://www.ted.com/talks/robert_lang_folds_way_new_origami

Vesna, Victoria. Mathematics-pt1-ZeroPerspectiveGoldenMean.mov. Cole UC online. Youtube, 9 April, 2012. Web. 16 Apr. 2017.
https://www.youtube.com/watch?v=mMmq5B1LKDg


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