The existence of the collaboration between math and art has
lasted for centuries which had astonished me in this week’s topic. This is
evident when Professor Vesna discusses perspective within art. Initially when
we think of perspective in math, we have to calculate the height of the building
given the length of the parallel flagpost and the shadow it casts. In contrast
when we think of art we see how depth is captured by the surrounding environment.
Typically we kept these ideas of perspective in their respective fields. However
it is wrong to keep them divided. Artist throughout the centuries have
challenged the connection of math and art which further developed the theories and
their works.
Today we see how works are still developing by challenging
the number of dimensions that actual exist. Linda Henderson goes into the depth
of the history of the 4th dimension. In her piece we see how certain
art genres have accepted, denied, and further pushed the idea of the 4th
dimension. This dimension challenges the
idea of space, geometry, and perspective.
She quotes Tony Robin to conclude her piece which I believe accurately
portrays the works of four dimension artist (Henderson 2006). “We are motivated
by a desire to complete our subjective experience by inventing new aesthetic
and conceptual capabilities” (Henderson 2006, 209.) Arguably the idea of math
and art has developed to incorporate experience.
A prime example of this is an audio and visual performance
of the Four Dimensions (Selikoff 2012). In this performance we see how our
visual and audio senses are aroused by the geometric patterns presented in the
background while an orchestra performs live. Arguably we see how this idea of the
4th dimension includes experience as well. The visual math
representation in the back physically creates this dimension.
Going back to the history of math and art, an artist that
was presented in lecture that portrayed this relationship was Brunelleschi. I recall
learning about his works in middle school for being progressive due to the fact
he introduce the idea of perspective in his pieces. The surrounding buildings
typically portrayed this. He introduced the idea of the vanishing point and
understood that there should be a single vanishing point in which all the lines
merged.
We see how the idea of the mathematical plane aided,
challenged, and further develop theories in both math and art. Painters studied used
mathematical knowledge to assist them in creating pieces that further
challenged how we view things and the extent of their mediums.
Citations:
Henderson, Linda. "Fourth Dimension and Non-Euclidean Geometry in Modern Art: Conclusion." Leonardo 17.3 (2006): 205-10. Print.
Hundreds, Bobby. "TRIP OUT. | The Hundreds." The Hundreds TRIP OUT Comments. 27 Apr. 2012. Web. 12 Apr. 2015. <http://thehundreds.com/trip-out/>.
Pickover, Cliff. "The Fourth Dimension by Cliff Pickover." The Fourth Dimension. Web. 12 Apr. 2015. <http://sprott.physics.wisc.edu/pickover/fourth.html>.
Selikoff, Nathan. "Four Dimensions - Real-time Audio-visual Performance - Nathan Selikoff."Nathan Selikoff. Web. 12 Apr. 2015. <http://nathanselikoff.com/works/four-dimensions>.
"Giotto Di Bondone - The Complete Works." Giotto Di Bondone - The Complete Works. Web. 12 Apr. 2015. <http://www.giottodibondone.org/>.
Hi Julius
ReplyDeleteI really enjoyed reading your perspective on the relation of art and mathematics. I especially enjoyed your thoughts on art expressing the fourth dimension. Do you believe that the efforts of these artists will be critical in developing an understanding for the fourth dimension? Can we develop an understanding of this concept better through the use of art than through mathematical definitions? Or can true understanding be attained through a mix of both?
Thank you,
Jeff