The mathematical "Golden Ratio" which was highlighted in Professor Vesna's lecture has been used in architectural structures since the Greeks. The ratio allowed for the Greeks to design the dimensions of their structures which would prove to be structurally sound and elegantly built, as some still stand today, such as the parthenon.
"The Forth Dimension" by Henderson discussed a future with a so-called fourth dimension that would be the beginning of a new influence. The influence could allow for even a larger integration of art and mathematics. There are artists that have already began to touch on the "fourth dimension" in some aspects. Another reading that was very interesting was the "Vanishing Points and Looking at Art" article, which discussed the mathematics and vantage point an artist must use when attempting to imitate are real life view of a scene or object in the distance. When trying to portray it realistically, the artist must make sure to converge the parallel line at the vanishing point. In conclusion, art and mathematics would not be the same today if they weren't for each other and the future of the two coexistence is only going to grow.
Sources
http://en.wikipedia.org/wiki/David_(Michelangelo)#/media/File:David_von_Michelangelo.jpg
https://mattbutler247.files.wordpress.com/2012/05/jackson-pollock1.jpg
http://www.joshuagarity.com/wp-content/uploads/2010/08/goldenratio_parthenon.jpg
Henderson, Linda. “The Fourth Dimension and Non-Euclidean Geometry in Modern Art: Conclusion.” MIT Press. 17.3 (1984): 205-10. Print.
"Vansishing Points and Looking at Art." http://www.cs.ucf.edu/courses/cap6938-02/refs/VanishingPoints.pdf
Ouellette, Jennifer. "Pollock's Fractals." http://discovermagazine.com/2001/nov/featpollock
I agree that mathematical concepts need to "work in accordance to each other" to produce art. Although math may provide specific and detailed tools, it is the creative mind of an artists that combines these tools and utilizes mathematics to produce unique pieces of art. For example, basic math is used to create music that is written onto a piece of paper. The counting and note lengths all derive from very basic math. However, the interpretation of the notes on the page is up to the musician and allows him or her to add a flair that makes music and art rather than simply a science.
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