The Symbol of Beauty
Symmetry in Nature  
Deconstructing Beauty 
Symmetry in Art History 
Asymmetry 
Conclusion 
References 
Figures 
	"Beauty is an ecstasy; it is as simple as hunger.
	There is really nothing to be said about it." 
	----W. Somerset Maughan 1.
One of the more striking observations to be made about nature is the 
	strong propensity towards symmetry and repetitive patterning. 
	Symmetry is evident in living and non-living structures. Throughout 
	the ages, from primitive tribal communities to modern electronic 
	civilizations, symbols have been used to describe the simple, 
	complex, tangible and intangible. These symbols display a wide 
	range of materials and techniques, yet they also carry a common 
	denominator. This common thread is the composition of symmetry which 
	is influenced by nature and the environment. It is a recurring visual 
	composition which has evoked passion in all human beings. But what 
	exactly is this passion and from where does this passion come? In 
	comparing and contrasting art objects throughout history it becomes 
	clear that symmetry is a basic concept for creating images and that 
	there are a wide range of objectives associated with these images. 
	Is their an innate link between symmetry and the end goals of these 
	art objects? Could symmetrical composition be an intricate part of 
	defining beauty?
Sandollars, sea shells, flowers, faces, fish (even flounders)... the 
	list goes on and on. Each item offering a unique form immersed in 
	symmetry. In detail, there are always imperfections rendering an 
	object not perfectly in equilibrium but the overall form is 
	symmetrical. Symmetrical patterns in nature have influenced artists 
	and architects throughout history and have played an important role 
	in the shaping of our environment  as well as the creation of our 
	culture and society. The use of symmetry in nature is so strong that 
	it is being used in physics to develop a unified field theory. 
	"Unified field theory, in physics, is a theory that proposes to 
	unify the four known interactions, or forces - the strong 
	(a short-range force that holds atomic nuclei together), 
	electromagnetic, weak (the force responsible for slow nuclear 
	processes, such as beta decay), and gravitational forces - by a 
	simple set of general laws....An important advance in this quest 
	was made in 1967-68 by the American physicist Steven Weinberg and the 
	Pakistani physicist Abdus Salam. They succeeded in unifying the weak 
	interaction and the electromagnetic interaction by using a 
	mathematical technique known as gauge symmetry. Theoretical 
	physicians are currently attempting to combine this so-called 
	electroweak theory with the strong nuclear force, using symmetry 
	theories; such attempts are known as grand unification theories. 
	The effort also continues to combine all four fundamental interactions,
	including gravitational, in what are now known as supersymmetrical theories"2.
	So strong is symmetry in nature that it is obvious through topical observation
	and is used to develop new theorems in physics. 
	Symmetry is also an innate characteristic of human psychology. "As 
	infants, humans have a preference for looking at faces. Young infants 
	also prefer looking at complex patterns such as a bull's eye or a 
	checkerboard rather than simple ones"3. It is truly fascinating when 
	infants are learning to focus. Their pupils dilate and narrow as they 
	begin the process of vision. First in black and white and later in 
	color the visual world is a new experience and being able to 
	recognize providers and threats is a challenge. The first images 
	infants focus on are faces. These faces provide the infant with a 
	reference of survival. It is in these symmetrical images that the 
	newborn infant realizes a new security. The infant can find peace 
	and reassurance in recognizing a parent. The human being is a complex 
	organism which itself is symmetrical. When we first encounter a 
	newborn our fears are centered around health. Is the baby OK? Does 
	the baby have two hands, two feet, five fingers on each hand and 
	foot? Health is immediately perceived through visual symmetry. Once 
	the newborn has passed this visual exam, it is beautiful, it is 
	perfect, and with this notion comes a complete feeling of happiness. 
	A joy that dispels all the fears of deformation and proves them to be 
	false. Is there a link between symmetry and beauty? Is symmetry the 
	symbol of beauty? 
What is beauty?
The idea or negative conjecture of  deconstructing beauty is a lofty 
	task worthy only of hundreds of pages of text or none at all. Yet the 
	aim of this section is to link ideas of the symmetrical composition 
	in the visual art object and aesthetics of beauty. So... 
	What is beauty?
	"With a friend, I went out on a flat headland that is almost a tiny 
	island, being all but surrounded by the waters of the bay. There the 
	horizons are remote and distant rims on the edge of space. We lay 
	and looked up at the sky and the millions of stars that blazed in 
	the darkness. The night was so still that we could hear the buoy on 
	the ledges out beyond the mouth of the bay. Once or twice a word 
	spoken by someone on the far shore was carried across on the clean 
	air. A few lights burned in cottages. Otherwise there was no reminder 
	of other human life; my companion and I were alone with the stars. 
	I have never seen them more beautiful: the misty river of the Milky 
	Way flowing across the sky, the patterns of the constellations 
	standing out bright and clear, a blazing planet low on the horizon. 
	Once or twice a meteor burned its way into earth's atmosphere."   
	----Rachel Carson 4.
	"Aristotle held that happiness is the aim of life, he believed that 
	the major function of art is to provide human satisfaction. In the 
	Poetics, his great works on the principles of drama, Aristotle argued 
	that tragedy so stimulates the emotions of pity and fear, which he 
	considered morbid and unhealthful, that by the end of the play the 
	spectator is purged of them. This catharsis makes the audience 
	psychologically healthier and thus more capable of happiness"5. 
	Could it be that the current anti-aesthetic is a modern manifestation 
	of the catharsis Aristotle described in the Poetics? Take for 
	example, the case of Serras' Tilted Arc, an aesthetically beautiful 
	form. The public art controversy surrounding Serra's work revealed a 
	dynamic tragedy, of which Serra himself could not recognize. In 
	encountering the Tilted Arc, people were denied easy access to their 
	place of "work", this expanded their love of freedom and mobility. 
	In coming face to face with the fear of restricted movement, the 
	people fought vehemently for their freedom. Though the purpose of the 
	artist may have been to expand the peoples notion that going to work 
	was not a freedom it exposed other fears of confinement which 
	citizens of a densely populated area such as New York City have 
	repressed. In hindsight, the true art created, was much larger in 
	scope than Serra could ever have imagined. But what about beauty?
	"The German philosopher Arthur Schopenhauer believed that the forms 
	of the universe, like the eternal Platonic forms, exist beyond the 
	worlds experience, and that aesthetic satisfaction is achieved by 
	contemplating them for their own sakes, as a means of escaping the 
	painful world of daily experience".6 These forms regularly take on 
	the natural designs of symmetry. "George Groddeck advocated a 
	philosophy which allowed ample space for quiet contemplation rather 
	than eternal search. True happiness is given to the children of God 
	in their sleep - not in any frantic striving. For the experience of 
	happiness we need mastery of outer reality, which is symbolized in 
	the search and mastery of the inner reality, which is symbolized in 
	contemplation"7.
	Following this trail of quotes one comes to the natural conclusion 
	of examining the symbols of the Tantra associated with meditation. 
	"Yantras are the most visual means used in the Tantrik cult. Among 
	them are the diagrams in which energies are concentrated - visual 
	parallels to the verbal mantras. They focus the energies of the 
	meditator, and correlate all his previous efforts and knowledge into 
	single divine images, which are often used in cumulative series. The 
	most important part is the Shri yantra, composed of nine 
	interpenetrating triangles, symbolic of male and female, which give 
	rise to the circuits of other triangles. It presents a condensed 
	image of the whole of creation"8. These Yantras (visual mantras) 
	are symmetrical in character and are meant to be focused upon in 
	deep contemplation to achieve nirvana, "a transcendent state free 
	from suffering and individual phenomenal existence"9.  Through 
	analysis of these selected interpretations, beauty can be understood 
	as that which creates happiness or satisfaction in the beholder. 
	Without the slightest doubt beauty is in the eye of the beholder yet 
	it consistently appears that beauty generally is observed in nature 
	or in an image which symbolizes nature such as a Yantra. Symmetrical 
	objects create an image from which only one type of  focus is 
	permitted, into the image. Duchamp remarks of his Bicycle Wheel: "To 
	see that wheel turning was very soothing, very comforting, a sort of 
	opening of the avenues onto other things than the material life of 
	everyday"10. For Duchamp, concentrating on the spinning tire was akin 
	to watching a fire, it enthralled him and took his mind away from the 
	grueling concepts and decisions which he was encountering in his 
	everyday life. It is through Duchamp's happiness in which the beauty 
	of the Bicycle Wheel can be defined.
From the ancient representations of rulers or 
	gods in the form of masks and idols to current images such as the whimsical 
	painting The Midnight Ride of Paul Revere (fig.1) by 
	Beattie & Davidson, which 
	appeared in the 43rd Biennial Exhibition of Contemporary Painters at 
	the Corcoran Art Museum, the symmetrical representation of faces has 
	been evident in art objects throughout history. The human figure has 
	also been represented in a multitude of ways through strong 
	symmetrical compositioning. The classic example is Leonardo DaVinci's 
	drawing using geometric symmetries of the square and circle to define 
	human proportions. The use of symmetry can achieve several goals for 
	an artist or architect. Le Corbusier's Phillips Pavilion in Brussels 
	invigorates and excites as one approaches creating an uplifting 
	feeling created by upwardly sweeping lines. On the other hand, the 
	Parthenon at the Acropolis reinforces a notion of power through a 
	balanced design. Some images serve to symbolize abstract concepts of 
	reality, the Fertilized World Egg (fig.2) from the Rajasthan 18th 
	century, directly represents reproduction. This concept is reflected 
	and supported by a contemporary ceramic sculpture entitled Dango 
	(fig.3) by Jun Kaneko. Past and present merge together when viewing 
	composition and symbolism. Allen Jones' Hatstand (fig.4) from 1969 is 
	a boisterous symbol of modern erotic fantasies. Analogous is the 
	Apollo of Tenea (fig.5) from Corinth 550 B.C. one of the many 
	"Kouroi" figures meant to represent not gods but young men. One can 
	only speculate whether these statues are sexual symbols yet they can 
	readily achieve those ends when analyzed in terms of human social 
	behavior. These examples are symmetrical in design and achieve 
	similar objectives however each piece is created in a distinctivly 
	different era from its partner. Artworks throughout the ages can be 
	compared quite easily using symmetry as a principle.
	For Barnett Newman, his paintings were complex symbols of genesis. 
	Though he publicly rejected "mysticism", Newman pointed out "'the 
	artist must start, like God, with chaos, the void: with blank color, 
	no forms, textures or details.' Newman's first move is an act of 
	division straight down creating an image. The image not only 
	re-enacts God's primal gesture, it also presents the gesture itself, 
	the zip, as an independent shape"11. Newman's paintings are 
	exceptional illustrations of symmetry in action. His "zip" divides 
	the canvas creating two parts which together create a whole. Newman's 
	paintings exploit the use of symmetry to achieve a personal symbolic 
	quality. There are many artists which use symmetry to construct 
	beauty, in spite of that, there have also been a myriad of artists 
	which have created beautiful images using "asymmetry".  How does 
	asymmetry fit into this thesis of symmetry being the substance of 
	beauty? 
Symmetry is defined as orderly, mutually corresdonding arrangement of 
	various parts of a body, producing a proportionate, balanced form12. 
	The various types of symmetry include radial symmetry, bilateral 
	symmetry and planar symmetry. Asymmetry is defined as lack of 
	proportion or ill-proportioned13. When artists work are described as 
	asymetrical this is a mislabeling in the description of their work. 
	Even though an artwork does not represent pure reflected geometrical 
	symmetry it is still operating under a process of proportional 
	systems and balancing. "Ma Yuan, a Chinese landscape painter of the 
	12th century, is described as a leader of the imperial painting 
	academy at Hangzhou (Hangchow). His works represented a new style in 
	painting - lyrical, evocative, restrained - in contrast to the more 
	grandiose style of earlier centuries. The most striking 
	characteristic of Ma's monochromatic ink paintings is their 
	asymmetrical composition: The principal forms of the picture - trees, 
	rocks, and human figures - are grouped in a lower corner. He achieved 
	a balanced asymmetry, in which the blank areas of his paintings focus 
	attention on the subject and at the same time suggets a limitless 
	expanse of space..."14. Bare Willows and Distant Mountains (fig.6) 
	is almost always cited as one of Ma Yuan's masterpieces. Because Ma 
	Yuan's paintings are not overtly geometrically symmetrical they are 
	thought of as asymmetrical. But the intricate balancing of space Ma 
	Yuan achieves in his compositioning is directly related to the 
	symbology of yin and yang both philosophically and literally. When 
	thought about in these terms, terms of zen spirituality, it becomes 
	clear that Ma Yuan's painting is not asymmetrical at all. Yuan's 
	balancing of forms and spaces unites a seemingly asymmetrical beauty 
	with the beauty of symmetry and human proportion. In fact it is 
	somewhat amusing that a western source would site Ma Yuan's painting 
	as asymmetrical and turn a blind empirical eye to the spiritual 
	reality of the zen philosophy which deeply lives in Yuan's paintings.
Though art has made many transformations throughout time the 
	underlying symmetrical composition of the image has remained a 
	constant. The inborn inclination of humans to be attracted to 
	symmetry coupled with the natural desire or pursuit of happiness 
	leads to the premis that symmetry is indeed the symbol of beauty. 
	Symmetrical properties are significant with respect to how artists 
	analyze the world around them, how they are influenced by other 
	cultures or artists and what they gleam from their works. Because we 
	visualize a symmetrical world and find happiness in the contemplation 
	of the natural, we create symbols to describe this emotion. These 
	symbols have been formed in a vast array of materials, techniques 
	and cultural circumstances however their symmetrical design crosses 
	over all these variations and bonds these images together.
	1.)     Saavedra, Beth Wilson; Meditations for new Mothers;
	quoting W. Somerset Maughan; p.138; 1992.
	2.)     Encarta-Mutimedia Encyclopedia; Microsoft(c) 1993
	Funk & Wagnall's Corporation
	search topic - Unified Field Theory.
	3.)     Dodson, Ph. D., Fitzhugh and Alexander, M.D., Ann;
	Your Child: Birth to Age 6; p.148; 1986.
	4.)     Carson, Rachel; The Sense of Wonder; p.54; 1956.
	5.)     Encarta-Mutimedia Encyclopedia; Microsoft(c) 1993
	Funk & Wagnall's Corporation
	search topic - Aesthetics.
	6.)     ibid.
	7.)     Grotjahn, M.D., Martin; The Voice of the Symbol; p.39; 1971.
	8.)     Rawson, Phillip; Tantra: The Indian Cult of Ecstasy; p.33; 1973.
	9.)     Encarta-Mutimedia Encyclopedia; Microsoft(c) 1993
	Funk & Wagnall's Corporation
	search topic - Nirvana.
	10.)    Duchamp, Marcel; The Creative Process
	in Arman, Yves; Marcel Duchamp: Plays ands Wins;
	catalog to the exhibition Marcel Duchamp
	at Gallery Yves Arman, N.Y., Mar. 13 - Apr. 28, 1984 ; p.49; 1984.
	11.)    Hess, Thomas; Barnett Newman;
	p.56; The Museum of Modern Art New York; 1971.
	12.)    Encarta-Mutimedia Encyclopedia; Microsoft(c) 1993
	Funk & Wagnall's Corporation
	search topic - Symmetry.
	13.)    Websters Seventh New Collegiate Dictionary(c) 1967; p.55.
	14.)    Encarta-Mutimedia Encyclopedia; Microsoft(c) 1993
	Funk & Wagnall's Corporation
	search topic - Ma Yuan.
	Other Sources
	Rushing; Ritual and Myth: Native American Culture and Abstract Expressionism
	in The Spiritual in Art: Abstract Painting 1890 - 1985;
	Los Angeles County Museum of Art; p.291; 1986.
	Collier, Graham; Art and the Creative Consciousness; p.97; 1972.
	Burnham, Jack; The Structure of Art; p.28; 1971.
	Rubin, William; Frank Stella; p.22; 1970.
	David Salle; Museum Boymans-van Beuningen Rotterdam, Feb. 26 - Apr. 17, 1983
	p.38; 1983.
	Richter, Gottfried; Art and the Human Conciousness; p.70 - 80; 1982.
	Gablik, Suzi; Progress in Art; p.82; 1976.

	by Beattie & Davidson; 1993.
	

	Rajasthan; 18th century
	

	by Jun Kaneko; 1993
	

	by Allen Jones; 1969
	

	Corinth; 550 B.C.
	

	by Ma Yuan; late 12th century
	
	
	
	
	coffin@evl.eecs.uic.edu
	coffin@art.net