Opt Art: Special Cases

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Reference

Robert Bosch: Opt Art: Special Cases. In: Bridges 2011. Pages 249–256

DOI

Abstract

We present special cases of edge-matched mosaics, TSP Art, and map-colored mosaics that do not require integer programming. They can be solved very quickly.

Extended Abstract

Bibtex

Used References

R. Bosch, “Opt Art,” Math Horizons, February 2006, 6-9.

R. Bosch. Edge-constrained tile mosaics. In Bridges Donostia: mathematical connections in art, music, and science, pages 351-360, 2007.

[3] R. Bosch. Connecting the dots: the ins and outs of TSP Art. In Bridges Leeuwarden: mathematical connections in art, music, and science, pages 235-242, 2008.

[4] R. Bosch. Simple-closed-curve sculptures of knots and links. Journal of Mathematics and the Arts. 4(2):57-71, 2010.

[5] R. Bosch and A. Herman. Continuous line drawings via the traveling salesman problem. Operations Research Letters. 32:302-302, 2004.

[6] R. Bosch and A. Pike. Map-colored mosaics. In Bridges Banff: mathematical connections in art, music, and science, pages 139-146, 2009.

[7] C. Browne. Duotone Truchet-like tilings. Journal of Mathematics and the Arts. 2(4):189-196, 2008.

[8] R.W. Floyd and L. Steinberg. An adaptive algorithm for spacial grey scale. Proceedings of the Society of Information Display. 17:75-77, 1976.

[9] C.S. Kaplan and R. Bosch. TSP Art. In Bridges Banff: mathematical connections in art, music, and science, pages 301-308, 2005.

[10] C.A. Pickover. Picturing randomness with Truchet tiles. Journal of Recreational Mathematics. 21:256-259, 1989.

[11] L. Wolsey, Integer Programming, Wiley-Interscience,” 1998.


Links

Full Text

http://archive.bridgesmathart.org/2011/bridges2011-249.pdf

intern file

Sonstige Links

http://archive.bridgesmathart.org/2011/bridges2011-249.html