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User:Chan-Ho Suh/todo/draft5

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Circle Limit may refer to either a series of woodcuts by M.C. Escher or the first of that series, which was followed by Circle Limit II, III, and IV. They have been the subject of a number of mathematical articles, generally in journals of recreational mathematics or those aimed toward mathematical exposition.

[edit] Circle Limit III

H. S. M. Coxeter refers to it as the "most sophisticated" , mathematically, of Escher's artwork.

[edit] Circle Limit IV

The third in the series is sometime called Angels and Devils or Heaven and Hell, referring to the white angels and black devils that tile the picture.


[edit] References

  • H. S. M. Coxeter, The trigonometry of Escher's woodcut "Circle Limit III". Math. Intelligencer 18 (1996), no. 4, 42--46.
  • H. S. M. Coxeter, The non-Euclidean symmetry of Escher's picture "Circle Limit III". Leonardo 12 (1979), 19--25.
  • Curtis D. Bennett, A paradoxical view of Escher's angels and devils. Math. Intelligencer 22 (2000), no. 3, 39--46.
  • Iaian Aitchison and J. Hyam Rubinstein, Heaven & hell. Proceedings of the Sixth International Colloquium on Differential Geometry (Santiago de Compostela, 1988), 5--24,

Cursos Congr. Univ. Santiago de Compostela, 61, Univ. Santiago de Compostela, Santiago de Compostela, 1989.

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