Print Gallery (M. C. Escher)
Print Gallery (Dutch: Prentententoonstelling) is a lithograph printed in 1956 by the Dutch artist M. C. Escher. It depicts a man in a gallery viewing a print of a seaport, and among the buildings in the seaport is the very gallery in which he is standing. In the book Gödel, Escher, Bach, Douglas Hofstadter explains it as a strange loop showing three kinds of "in-ness": the gallery is physically in the town ("inclusion"); the town is artistically in the picture ("depiction"); the picture is mentally in the person ("representation").
Escher's signature is on a circular void in the center of the work. In 2003, two Dutch mathematicians, Bart de Smit and Hendrik Lenstra, reported a way of filling in the void by treating the work as drawn on an elliptic curve over the field of complex numbers. They deem an idealized version of Print Gallery to contain a copy of itself, rotated clockwise by about 157.63 degrees and shrunk by a factor of about 22.58.
- de Smit, B. (2003). "The Mathematical Structure of Escher's Print Gallery". Notices of the American Mathematical Society 50 (4): 446–451.
- Gaggi, Silvio (1989). Modern/Postmodern: A Study in Twentieth-Century Arts and Ideas. University of Pennsulvania Press. pp. 44–45. ISBN 0-8122-8154-3.
- Freedman, Barbara (1991). Staging the gaze: postmodernism, psychoanalysis, and Shakespearean comedy. Cornell University Press. pp. 124–126. ISBN 0-8014-9737-X.
- Bretzius, Stephen (1997). Shakespeare in theory: the postmodern academy and the early modern theater. University of Michigan Press. p. 57. ISBN 0-472-10853-0.
- Ryan, Marie-Laure (2000). Narrative as virtual reality: immersion and interactivity in literature and electronic media. Johns Hopkins University Press. p. 165. ISBN 0-8018-6487-9.
- HarryCarry5 (Jul 26, 2009). Escher's Print Gallery Explained. YouTube.
- Artful Mathematics: The Heritage of M. C. Escher, by Bart de Smit and Hendrik Lenstra