The Mathematics of Painting Helmer ASLAKSEN Dept. of Mathematics National Univ. of Singapore

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Presentation transcript:

The Mathematics of Painting Helmer ASLAKSEN Dept. of Mathematics National Univ. of Singapore

Giotto, The Flight into Egypt, c1313 Notice how the trees are the same size

Lorenzetti, The Presentation in the Temple, c1342 Notice how the tiles get smaller

Masaccio, Trinity, 1427 One of the first perspective pictures

The pavement problem CD=distance from picture to eye

Where’s the best view point? 174cm above, 770cm away

Hong Sek Chern, Pigeonholes, 1996 Use this to find out where to stand

False viewpoints Pozzo’s ceiling (1694) and cupola (1685) in St. Ignatius, Rome

Anamorphic art Holbein, The Ambassadors, 1533

Is there perspective in Chinese paintings? Multiple viewpoints, Chen Chong Swee, Snowscape, 1993 Raphael, The School of Athens, 1511

Leonardo, The Last Supper, c1497 The perspective is an integral part of the painting

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

Dürer at the Singapore Art Museum Dürer, 1527 Teaching aid or tool for artists?

Perspective at SAM Ye Shufang, Mathematical Ambiguity, 2002.

What else to see at SAM? Tessellations

More to see at SAM! Kaleidoscopes

Even more to do at SAM! Polyhedra