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Mathematics and the Visual Arts Math 102 Spring 2003 Professor Mark Schlatter La Parade (Seurat) Stairway to Heaven (Ken Keller) A symmetry print from Escher The Flagellation of Christ (Piero della Francesca) Innerspace (Arthur Silverman)
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Mathematics and the Visual Arts Math 102 Spring 2003 Professor Mark Schlatter
Goals of this class Using mathematical principles (with an emphasis on geometry), • analyze artwork • create artwork
Themes of this class • dimension - how can artwork be described in terms of its dimensionality? • validity - when does mathematical analysis have a valid claim in interpreting art? when is it misused?
Logistics • Syllabus • Web site
Proportion in portraiture • The length of a man's outspread arms is equal to his height. • …. from the bottom of the chin to the top of the head is one eighth of his height; ….The greatest width of the shoulders contains in itself the fourth part of man. ... The whole hand will be the tenth part of the man. • Source: The Notebooks of Leonardo da Vinci, Vol. 1 (of a 2 vol. set in paperback) pp. 182-3, Dover, ISBN 0-486-22572-0.
Proportion in portraiture Other sites: • The figure-drawing lab • Marc Frantz’s material on perspective and proportion
Practice • Use this work (Self-Portrait, Between the Clock and the Bed) by Edvard Munch to test some of the proportion rules.
Questions • What concerns would drive an artist to use these proportions? • What concerns would drive an artist to break these proportions? • Consider Edvard Munch’s The Scream
For next class…. • Bring a ruler and graph paper. • Start the homework (due next Monday) on the web site.