“Asymmetry is the absence of, or a violation of, symmetry (the property of an object being invariant to a transformation, such as reflection). Symmetry is an important property of both physical and abstract systems and it may be displayed in precise terms or in more aesthetic terms. The absence of or violation of symmetry that are either expected or desired can have important consequences for a system” (Wikipedia, retrieved September 2021).

Graphic artist and author Allen Hurlburt observes our interest in design, symmetry, and perfection in nature:

“Just as mathematics began with the measurement of objects and space, design began with the arrangement of objects in harmonious relationship to each other and to the space they occupied. The linkage of mathematical systems and design can be traced to the earliest cultures and science and art have frequently found a common denominator in the search for perfect form throughout history” (1978, p. 9).

“The history of the universe is a succession of shapes, and these shapes and the relationships between them are what give us ‘duration’ and our sense of time”, states physicist Julian Barbour. This evolution can be viewed as increasing complexity from uniformly disordered origins, and revealed in the ratios, hence geometry, of these shapes and their spacetime structures (2020). The golden ratio portrayed by the golden rectangle presented an aesthetic perspective on the symmetry found in nature when author and art instructor Jay Hambidge visually connected it to the logarithmic spirals found in plants, seashells, and perhaps even galaxies, in his book “The Elements of Dynamic Symmetry” (1920) :

“Dynamic symmetry in nature is the type of orderly arrangement of members of an organism such as we find in a shell or the adjustment of leaves on a plant. There is a great difference between this and the static type. The dynamic is a symmetry suggestive of life and movement” (1920, p. 13).

Does nature’s dynamic symmetry, “suggestive of life and movement”, speak to something still deeper, perhaps as some imprint of time, or traces of agency, projected from its structure? In an essay titled “Imageless Beauty : An Inquiry into the Prosody of Meanings” (1925), philosopher and professor of art Helen Huss Parkhurst takes the broader view that dynamical symmetry extends beyond surface appearance or projection, and does itself have a generative, creative character:

“In the temporal arts, blended symmetry and a-symmetry of formal structure — masses, curves, colors, figures, echoing and re-echoing but generating always new and unanticipated departures from the norm of the invariable ; in the temporal arts, the regular qualified everywhere by the irregular — variation of beat, of interval, of rhyme, of harmony, breaking constantly in upon uniformities, and creating an ascending hierarchy of modulations” (1925, p. 94).

A Sheaf of Golden Rules from Twelve Religions | Sikhism:
“As thou deemest thyself, so deem others; then shalt thou become a partner in heaven” (1946, p. 310).

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Barbour, J. & Kuhn, R. L. (December 1, 2020), Time, the Universe, and Reality on Closer to Truth [Youtube video] retrieved September 2021 from https://www.youtube.com/watch?v=nOYio-_cmb4

Hambidge, J. (1920) The Elements of Dynamic Symmetry. New York, United States: Dover Publications Inc. [PDF document] retrieved September 2021 from https://aapor.files.wordpress.com/2016/04/elements_of_dynamic_symmetry_hambidge.pdf

Hoople, R. E., Piper, R. F., & Tolley, W. P. (Eds.), (1946), A Sheaf of Golden Rules from Twelve Religions, in Preface to Philosophy: Book of Readings (pp. 309-310). New York, United States: The Macmillan Company (1952 ed.)

Hurlburt, A. (1978) The Grid: A Modular System for the Design and Production of Newspapers, Magazines, and Books. New York, United States: Van Nostrand Reinhold Company.

Parkhurst, H. H. (1925) Imageless Beauty : An Inquiry into the Prosody of Meanings in The Open Court: Volume 1925: Issue 2, Article 3 (pp. 86 – 97). New York, United States: Harcourt, Brace & Co. [PDF document] retrieved September 2021 from https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=3789&context=ocj