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February 6-10, 2012
Ghent (Belgium)

Organizers:

Bart De Bruyn,
Tom De Medts,
Jef Thas,
Koen Thas,
Hendrik Van Maldeghem

 


Hendrik Lenstra Jr.

Escher and the Droste effect

Special lecture, no mathematical background required — family and friends are welcome!

In 1956, the Dutch graphic artist M.C. Escher made an unusual lithograph with the title Print Gallery. It shows a young man viewing a print in an exhibition gallery. Amongst the buildings depicted on the print, he sees paradoxically the very same gallery that he is standing in. A lot is known about the way in which Escher made his lithograph. It is not nearly as well known that it contains a hidden Droste effect, or infinite repetition; but this is brought to light by a mathematical analysis of the studies used by Escher. On the basis of this discovery, a team of mathematicians at Leiden produced a series of hallucinating computer animations. These show, among others, what happens inside the mysterious spot in the middle of the lithograph that Escher left blank.