The Elements Of Dynamic Symmetry
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Jay Hambidge (1867–1924) was a Canadian-born
American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...
artist who formulated the theory of "dynamic symmetry", a system defining compositional rules, which was adopted by several notable American and Canadian artists in the early 20th century.


Early life and theory

He was a pupil at the
Art Students' League The Art Students League of New York is an art school at 215 West 57th Street in Manhattan, New York City, New York. The League has historically been known for its broad appeal to both amateurs and professional artists. Although artists may stud ...
in
New York New York most commonly refers to: * New York City, the most populous city in the United States, located in the state of New York * New York (state), a state in the northeastern United States New York may also refer to: Film and television * '' ...
and of
William Merritt Chase William Merritt Chase (November 1, 1849October 25, 1916) was an American painter, known as an exponent of Impressionism and as a teacher. He is also responsible for establishing the Chase School, which later would become Parsons School of Design. ...
, and a thorough student of classical art. He conceived the idea that the study of
arithmetic Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers— addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th ...
with the aid of
geometrical Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is ca ...
designs was the foundation of the proportion and symmetry in Greek architecture, sculpture and ceramics. Careful examination and measurements of classical buildings in
Greece Greece,, or , romanized: ', officially the Hellenic Republic, is a country in Southeast Europe. It is situated on the southern tip of the Balkans, and is located at the crossroads of Europe, Asia, and Africa. Greece shares land borders with ...
, among them the Parthenon, the temple of Apollo at Bassæ, of
Zeus Zeus or , , ; grc, Δῐός, ''Diós'', label=Genitive case, genitive Aeolic Greek, Boeotian Aeolic and Doric Greek#Laconian, Laconian grc-dor, Δεύς, Deús ; grc, Δέος, ''Déos'', label=Genitive case, genitive el, Δίας, ''D ...
at
Olympia The name Olympia may refer to: Arts and entertainment Film * ''Olympia'' (1938 film), by Leni Riefenstahl, documenting the Berlin-hosted Olympic Games * ''Olympia'' (1998 film), about a Mexican soap opera star who pursues a career as an athlet ...
and Athenæ at Ægina, prompted him to formulate the theory of "dynamic symmetry" as demonstrated in his works ''Dynamic Symmetry: The Greek Vase'' (1920) and ''The Elements of Dynamic Symmetry'' (1926). It created a great deal of discussion. He found a disciple in Dr. Lacey D. Caskey, the author of ''Geometry of Greek Vases'' (1922).Bellows, George (1979). ''George Wesley Bellows: Paintings, Drawings, and Prints''. Columbus, Ohio: Columbus Museum of Art. p. 3. . In 1921, articles critical of Hambidge's theories were published by Edwin M. Blake in '' Art Bulletin'', and by
Rhys Carpenter Rhys Carpenter (August 5, 1889 – January 2, 1980) was an American classical art historian and professor at Bryn Mawr College. Carpenter was unconventional as a scholar. He analyzed Greek art from the standpoint of artistic production and b ...
in ''
American Journal of Archaeology The ''American Journal of Archaeology'' (AJA), the peer-reviewed journal of the Archaeological Institute of America, has been published since 1897 (continuing the ''American Journal of Archaeology and of the History of the Fine Arts'' founded by t ...
''. Art historian Michael Quick says Blake and Carpenter "used different methods to expose the basic fallacy of Hambidge's use of his system on Greek art—that in its more complicated constructions, the system could describe any shape at all." In 1979 Lee Malone said Hambidge's theories were discredited, but that they had appealed to many American artists in the early 20th century because "he was teaching precisely the things that certain artists wanted to hear, especially those who had blazed so brief a trail in observing the American scene and now found themselves displaced by the force of contemporary European trends."


Dynamic symmetry

Dynamic
symmetry Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definit ...
is a proportioning system and natural design methodology described in Hambidge's books. The system uses ''
dynamic rectangle A dynamic rectangle is a right-angled, four-sided figure (a rectangle) with dynamic symmetry which, in this case, means that aspect ratio (width divided by height) is a distinguished value in dynamic symmetry, a proportioning system and natural des ...
s'', including ''root rectangles'' based on ratios such as , , , the golden ratio (φ = 1.618...), its square root ( = 1.272...), and its square (φ2 = 2.618....), and the
silver ratio In mathematics, two quantities are in the silver ratio (or silver mean) if the ratio of the smaller of those two quantities to the larger quantity is the same as the ratio of the larger quantity to the sum of the smaller quantity and twice t ...
(\delta_s=2.414...). From the study of phyllotaxis and the related Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...), Hambidge says that "a much closer representation would be obtained by a substitute series such as 118, 191, 309, 500, 809, 1309, 2118, 3427, 5545, 8972, 14517, etc. One term of this series divided into the other equals 1.6180, which is the ratio needed to explain the plant design system." This substitute sequence is a generalization of the Fibonacci sequence that chooses 118 and 191 as the beginning numbers to generate the rest. In fact, the standard Fibonacci sequence provides the best possible rational approximations to the golden ratio for numbers of a given size. A number of notable American and Canadian artists have used dynamic symmetry in their painting, including
George Bellows George Wesley Bellows (August 12 or August 19, 1882 – January 8, 1925) was an American realism, American realist painting, painter, known for his bold depictions of urban life in New York City. He became, according to the Columbus Museum of Art ...
(1882–1925),
Maxfield Parrish Maxfield Parrish (July 25, 1870 – March 30, 1966) was an American painter and illustration, illustrator active in the first half of the 20th century. He is known for his distinctive saturated hues and idealized neo-classical imagery. His ...
(1870–1966), The ''New Yorker'' cartoonist
Helen Hokinson Helen Elna Hokinson (June 29, 1893 – November 1, 1949) was an American cartoonist and a staff cartoonist for ''The New Yorker''. Over a 20-year span, she contributed 68 covers and more than 1,800 cartoons to ''The New Yorker''. Life and ...
(1893–1949), Al Nestler (1900–1971),
Kathleen Munn Kathleen Jean Munn (1887– October 19, 1974) is recognized today as a pioneer of Modern art, modern art in Canada, though she remained on the periphery of the Canadian art scene during her lifetime. She imagined conventional subjects in a radica ...
(1887–1974), the children's book illustrator and author
Robert McCloskey John Robert McCloskey (September 15, 1914 – June 30, 2003) was an American writer and illustrator of children's books. He both wrote and illustrated eight picture books, and won two Caldecott Medals from the American Library Association for th ...
(1914–2003), and Clay Wagstaff (b. 1964).
Elizabeth Whiteley Elizabeth Whiteley (born 1945) is an American fine artist and designer. Early life and education Whiteley was born in Erie, Pennsylvania, US, in 1945. Whiteley earned a B.A. degree from Carnegie Mellon University (CMU), and a M.S. in librar ...
has used dynamic symmetry for works on paper.


Applications


Photography

The application and psychology of Dynamic Symmetry in such a fast and modern medium such as photography, in particular
Digital Photography Digital photography uses cameras containing arrays of electronic photodetectors interfaced to an analog-to-digital converter (ADC) to produce images focused by a lens, as opposed to an exposure on photographic film. The digitized image is sto ...
, is challenging but not impossible. The
Rule of Thirds The rule of thirds is a "rule of thumb" for composing visual arts, visual images such as designs, films, paintings, and photography, photographs. The guideline proposes that an image should be imagined as divided into nine equal parts by two equa ...
has been the composition of choice for a majority of new and experienced photographers alike. Although this method is effective, Dynamic Symmetry can be applied to compositions to create a level of in depth creativity and control over the image. According to Bob Holmes, a photographer from National Geographic, a photographer must "be responsible for everything in the frame". Using diagonals to align subjects and the reciprocal diagonals associated to the size of the frame, one would be able to create a highly intricate work of
fine art In European academic traditions, fine art is developed primarily for aesthetics or creative expression, distinguishing it from decorative art or applied art, which also has to serve some practical function, such as pottery or most metalwork ...
. For example, world renowned portrait photographer Annie Liebovitz used this method to create an image, among many others, for Vanity Fair Magazine. The image correctly posed each of the models to intersect the subject with a corresponding diagonal to draw the viewer to the main idea of the photograph. This powerful process was used regularly by French painter turned film photographer:
Henri Cartier-Bresson Henri Cartier-Bresson (; 22 August 1908 – 3 August 2004) was a French humanist photographer considered a master of candid photography, and an early user of 35mm film. He pioneered the genre of street photography, and viewed photography as cap ...
. Using Dynamic Symmetry, Henri was able to create engaging and interesting photographs that he deemed were made with the idea of "The Decisive Moment", a photographic psychology that describes "when the visual and psychological elements of people in a real life scene to spontaneously and briefly come together in perfect resonance to express the essence of that situation".


See also

*'' On the Divine Proportion'' *
Frederik Macody Lund Frederik Macody Lund (1863–1943) Julius Frederik Macody Lund (born 18 November 1863 in Stavanger, died 16 December 1943 in Farsund) was a controversial Norwegian autodidact revisionist historian, most known and remembered for his engagement i ...
*
Samuel Colman Samuel Colman (March 4, 1832 – March 26, 1920) was an American painter, interior designer, and writer, probably best remembered for his paintings of the Hudson River. Life and career Born in Portland, Maine, Colman moved to New York City ...
*
List of works designed with the golden ratio Many works of art are claimed to have been designed using the golden ratio. However, many of these claims are disputed, or refuted by measurement. The golden ratio, an irrational number, is approximately 1.618; it is often denoted by the Greek al ...


References


External links

* *
Elements of Dynamic Symmetry at Archive.org

The Greek Vase at Archive.org

Hambidge Center for Creative Arts and Sciences
* {{DEFAULTSORT:Hambidge, Jay Symmetry Golden ratio Numerology Painters from New York City 19th-century American painters American male painters 20th-century American painters American non-fiction writers 1867 births 1924 deaths