Week 2 | Math + Art

From my perspective as an applied-math-major student, I strongly agree that mathematics has great influence and positive effect on arts in the past and present. Mathematics, as a language to communicate with the world in a systematic way, serves as a very crucial tool in arts to construct, build, and create. Math is somehow a platform with fundamental and common rules which artists can think and produce artwork creatively with the aid of mathematics tools.


Math & Art

For example, as mentioned in the article of Henderson. L., the relationship between the fourth dimension in space, Euclidean and Non-euclidean space can reflect the thinking process and strong correlation between arts and math. New foundings, rules, systems, trends of thoughts in math can have great impact and provide great insights for the arts in different ways, just as Henderson said, non-Euclidean geometry signified a new freedom from the tyranny of established laws. (Henderson, 205) The establishment of new systems in math stimulate new creativity and ways of thinking among artists, just like the inclination to create based on the fourth dimension. Belief in a fourth dimension encourage artists to depart from visual reality and to reject the one-point perspective system that portrayed the world as three-dimensional.(Henderson, 205)


Hypothesized Four Dimension Space

Based on such four dimension system and non-euclidean space geometry in math, Roger Penrose (together with his farther Lionel Penrose) popularized the Penrose Stairs, which is also called the impossible stairs. Such stairs is a two-dimensional creation of a staircase where the stairs form four right angle turns as they ascend or descend so that they form a continuous loop. In this case a person could climb them forever and never get any higher due to the loop formed. Such creation is strongly influenced and based on the non-euclidean geometry in math, where such system stimulated the artist's creativity to build up such piece of work under the new rules established in the field of math.

Penrose Stairs

Artists who are interested in four dimensional space are motivated by a desire to complete their subjective experience by inventing new aesthetic and conceptual capabilities. (Henderson, 209) Indeed, mathematical systems, ideas, rules can all stimulate the creativity of artists while provide them with a platform to construct. The juxtaposition of math, arts, humanities, and sciences all become interwined and form such a diversified and beautiful world.


Word Count: 385


References:

A masterpiece of ratios, scaling and color

    https://education.ti.com/en/activities/stem/gen-stem/math-an-artform

Four Dimensional Space Illustration Image

    https://en.wikipedia.org/wiki/Four-dimensional_space

Penrose Stairs

    https://www.illusionsindex.org/i/penrose-stairs

Henderson, Linda Dalrymple, The Fourth Dimension and Non-Euclidean Geometry in Modern Art: Conclusion

Norton, John D., What is a four dimensional space like        

  https://sites.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/four_dimensions/index.html



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