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[KS+00]  Escherization

Kaplan:2000:E (In proceedings)
Author(s)Kaplan C. and Salesin D.
Title« Escherization »
InProceedings of ACM SIGGRAPH 2000 (New Orleans, LA, July 23--28, 2000)
SeriesComputer Graphics Proceedings, Annual Conference Series
Page(s)499--510
Year2000
OrganizationACM SIGGRAPH
AddressNew York

Abstract
This paper introduces and presents a solution to the ``Escherization'' problem: given a closed figure in the plane, find a new closed figure that is similar to the original and tiles the plane. Our solution works by using a simulated annealer to optimize over a parameterization of the ``isohedral'' tilings, a class of tilings that us flexible enough to encompass nearly all of Escher's own tilings, and yet simple enough to be encoded and explored by a computer. We also describe a representation for isohedral tilings that allows for highly interactive viewing and rendering. We demonstrate the use of these tools—along with several additional techniques for adding decorations to tilings—with a variety of original ornamental designs.

BibTeX code
@inproceedings{Kaplan:2000:E,
  opteditor = {},
  author = {Craig S. Kaplan and David H. Salesin},
  series = CGPACS,
  localfile = {papers/Kaplan.2000.E.pdf},
  address = {New York},
  optpublisher = {ACM Press},
  organization = {ACM SIGGRAPH},
  optmonth = aug,
  doi = {http://doi.acm.org/10.1145/344779.345022},
  citeseer = {http://citeseer.nj.nec.com/kaplan00escherization.html},
  booktitle = SIGGRAPH2000,
  optstatus = {OK},
  title = {{E}scherization},
  abstract = {This paper introduces and presents a solution to the
              ``Escherization'' problem: given a closed figure in the plane,
              find a new closed figure that is similar to the original and tiles
              the plane. Our solution works by using a simulated annealer to
              optimize over a parameterization of the ``isohedral'' tilings, a
              class of tilings that us flexible enough to encompass nearly all
              of Escher's own tilings, and yet simple enough to be encoded and
              explored by a computer. We also describe a representation for
              isohedral tilings that allows for highly interactive viewing and
              rendering. We demonstrate the use of these tools—along with
              several additional techniques for adding decorations to
              tilings—with a variety of original ornamental designs.},
  pages = {499--510},
  year = {2000},
}

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