Week 2 Blog: Math and Art

Mathematics go hand and hand with art, however the relationship between the two is rather complex. It is easy to reduce the relationship between the two as math being a necessity in order to produce art, however, the readings have offered me a different perspective on this intrinsic relationship. Particularly, the idea of the "fourth dimension" in the Henderson reading speaks to the importance of time as an additional parameter by which the world should be examined. The traditional three-dimensional view of the world offered by our eyes does not account for the phenomenon of spatial time and the many different versions of something present at different times. The example provided in the reading of the "enveloping super lion" formed by "all the points of the lion and all its instants and positions" (pg. 208) presents the art of a highly visual being (an African lion) in a non-visual form (the super lion). 



    In the lecture, Dr. V speaks to the importance of perspective when creating art and heralds it as a fundamental aspect of the traditional art form (Unit 2 Lecture). Since perspective is inherently mathematical, most of us, including myself, find it harder to imagine art in dimensionless forms, much less in infinite dimensions. Nevertheless, through reading Flatland by Edwin Abbott, the complexity that exists in the world as I know it was also challenged. In the world of Flatland, two-dimensional shapes can move freely, however, "without the power of rising above or sinking below it" (Part 1, Section 1). This renders all shapes as lines when viewed from a "Flatlander" perspective. Hence, the mathematical concept of three-dimensions significantly impacts the way in which we encounter the world and by extension, art.



The sculpture "Unique Forms of Continuity in Space" by Umberto Boccioni brilliantly encapsulates the futurist idea of fluidity and motion which directly impacts many art forms. Mathematically, the concept of continuity describes the absence of abrupt changes in a function/ geometric shape. In his sculpture, Boccioni captures the idea by presenting the human form as fluid and free, rather than rigid and static.


The juxtaposition between art, math and science is reflective of an ironically one-dimensional viewpoint held by society that recognizes the link between the different concepts and yet chooses to ignore it. It leaves the rhetorical question of what is math and/or art?




Works Cited

Abbott, Edwin A. Flatland: A Romance of Many Dimensions. HANSEBOOKS, 2023. 

Boccioni, Umberto. 1913. Unique Forms of Continuity in Space. Bronze

Henderson, Linda Dalrymple. “The Fourth Dimension and Non-Euclidean geometry in modern art: Conclusion.” Leonardo, vol. 17, no. 3, 1984, p. 205, https://doi.org/10.2307/1575193. 

“Umberto Boccioni’s ‘Unique Forms of Continuity in Space.’” Christie’s, www.christies.com/en/stories/umberto-boccioni-unique-forms-of-continuity-in-space-5f8796c9bede45188cd637180997219e. Accessed 11 Apr. 2024. 

Vesna, Victoria. “Mathematics-PT1-ZeroPerspectiveGoldenMean.Mov.” YouTube, YouTube, 9 Apr. 2012, www.youtube.com/watch?v=mMmq5B1LKDg&t=980s. 


Images Cited

“File:Flatland.Svg.” Wikimedia Commons, David.daileyatsrudotedu, 18 Feb. 2016, commons.wikimedia.org/wiki/File:Flatland.svg. 

Loveridge, Andy. “US Plans to Extend Endangered Species Status to Lions in Africa.” The Guardian, Guardian News and Media, 21 Dec. 2015, www.theguardian.com/environment/2015/dec/21/us-endangered-species-africa-cecil-the-lion. 

Otterlo. “Umberto Boccioni | Unique Forms of Continuity in Space (1913–1950) | Artsy.” Artsy, Kröller-Müller Museum , www.artsy.net/artwork/umberto-boccioni-unique-forms-of-continuity-in-space-2. Accessed 12 Apr. 2024. 



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