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The Mathematics of Painting Helmer ASLAKSEN Dept. of Mathematics National Univ. of Singapore aslaksen@math.nus.edu.sg www.math.nus.edu.sg/aslaksen/
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Giotto, The Flight into Egypt, c1313 Notice how the trees are the same size
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Lorenzetti, The Presentation in the Temple, c1342 Notice how the tiles get smaller
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Masaccio, Trinity, 1427 One of the first perspective pictures
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The pavement problem CD=distance from picture to eye
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Where’s the best view point? 174cm above, 770cm away
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Hong Sek Chern, Pigeonholes, 1996 Use this to find out where to stand
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False viewpoints Pozzo’s ceiling (1694) and cupola (1685) in St. Ignatius, Rome
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Anamorphic art Holbein, The Ambassadors, 1533
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Is there perspective in Chinese paintings? Multiple viewpoints, Chen Chong Swee, Snowscape, 1993 Raphael, The School of Athens, 1511
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Leonardo, The Last Supper, c1497 The perspective is an integral part of the painting
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Changing views on perspective The different perspectives are an integral part of the painting Tan Chwee Seng, I Think Hence I Am, 1989 Montemayor, Barangay Rotunda, 1992
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Dürer at the Singapore Art Museum Dürer, 1527 Teaching aid or tool for artists?
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Perspective at SAM Ye Shufang, Mathematical Ambiguity, 2002.
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What else to see at SAM? Tessellations
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More to see at SAM! Kaleidoscopes
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Even more to do at SAM! Polyhedra
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