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Reference
Robert Bosch and Andrew Pike: Map-Colored Mosaics. In: Bridges 2009. Pages 139–146
DOI
Abstract
We describe how to construct map-colored mosaics. When viewed from afar, they resemble familiar images. When viewed from up close, they look like properly colored maps.
Extended Abstract
Bibtex
Used References
[1] Tetsuo Asano, Naoki Katoh, Koji Obokata, and Takeshi Tokuyama. Matrix rounding under the L p - discrepancy measure and its application to digital halftoning. SIAM Journal on Computing, 32: 1423- 1435, 2003.
[2] Robert Bosch. Constructing domino portraits. In B. Cipra et al., editor, Tribute to a Mathemagician, pages 251-256, A.K. Peters, 2004.
[3] Robert Bosch. Opt Art. Math Horizons, pages 6-9, feb 2006.
[4] Robert Bosch. Edge-constrained tile mosaics. In Bridges Donostia: mathematical connections in art, music, and science, pages 351-360, 2007.
[5] Benjamin Doerr. Nonindependent randomized rounding and an application to digital halftoning. SIAM Journal on Computing 34: 299-317, 2004.
[6] M.C. Escher. Escher on Escher: Exploring the Infinite. Henry N. Abrams, 1989.
[7] Douglas R. Hofstadter. Metamagical Themas: Questing for the Essence of Mind and Pattern. Basic Books, 1985.
[8] ILOG CPLEX. High-performance software for mathematical programming and optimization. www.ilog.com/products/cplex/.
[9] Craig S. Kaplan. Metamorphosis in Escher’s art. In Bridges Leeuwarden: mathematical connections in art, music, and science, pages 39-46, 2008.
[10] Doris Schattschneider. M.C. Escher: Visions of Symmetry. Henry N. Abrams, second edition, 2004.
Links
Full Text
http://archive.bridgesmathart.org/2009/bridges2009-139.pdf