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Issue No.06 - Nov.-Dec. (2013 vol.33)
pp: 21-23
Xinchang Wang , Jiangxi Univ. of Finance & Econ., Nanchang, China
Peichang Ouyang , Jinggangshan Univ., Ji'an, China
A simple, fast method generates various visually appealing spiral patterns. The method is based on the concept that spiral patterns comprise a symmetry group of tilings. It employs invariant mappings and a dynamical system to create seamless colored patterns.
Pattern recognition, Spirals,computer graphics, spirals, symmetry group, dynamical system
Xinchang Wang, Peichang Ouyang, "Beautiful Math--Aesthetic Patterns Based on Logarithmic Spirals", IEEE Computer Graphics and Applications, vol.33, no. 6, pp. 21-23, Nov.-Dec. 2013, doi:10.1109/MCG.2013.87
1. I. Hargittai and C.A. Pickover, Spiral Symmetry, World Scientific, 1992.
2. K.W. Chung, H.S.Y. Chan, and B.N. Wang, “Spiral Tilings with Color Symmetry from Dynamics,” Computers & Graphics, vol. 23, no. 2, 1999, pp. 439-448.
3. M. Field and M. Golubitsky, Symmetry in Chaos, Oxford Univ. Press, 1992.
4. P.C. Ouyang et al., “The Visualization of Hyperbolic Patterns from Invariant Mapping Method,” Computer & Graphics, vol. 36, no. 2, 2012, pp. 92-100.
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