math 210: golden ratio in art case study: mondrian murphy
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Math 210: Golden Ratio in Art
Case Study: Mondrian
Murphy Judy, Parajon,Winston
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Project Goals
• Find the Golden Ratio in Art• Determine whether or not its appearance is
random or was artist’s intent• Use probability theory learned in class
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Golden Ratio Summary• Divide a line into two segments
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Golden Ratio In Art
• Ancient Greeks believed most aestheticallypleasing
• Artists: Da Vinci, Dali, Mondrian– Piet Mondrian: Dutch, abstract artist
• Believed mathematics and art were closely related• Used simple geometric shapes and primary colors
(red, yellow, blue)
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Mondrian
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Composition with Gray and Light Brown
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Ln(Golden Ratio)=.481211825…
-.5
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-1 .8
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Probability Density Function for a rectangle withheight to width ratio equal to 1/R
Actual Mondrian Painting: ln(R) = .63757
Random Mondrian Painting: ln(R) = 1.299
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