A Sangaku Revived
暂无分享,去创建一个
In this paper we give an account on our mathematical and visual explorations inspired by a sangaku. First we introduce sangakus – traditional Japanese mathematical tablets. Then we give four examples of our static contemporary variants. Finally, we discuss in detail how a fifth sangaku led us to simulate the growth of water lilies, as a means of visualizing the problem. This approach lead to the mathematical field of circle packing, and made it possible to experience the visually intriguing process with different settings of the algorithm.
[1] Kenneth Stephenson. Circle Packing : A Mathematical Tale , 2003 .
[2] Tibor Csendes,et al. New Approaches to Circle Packing in a Square - With Program Codes , 2007, Optimization and its applications.
[3] Tony Rothman,et al. Japanese Temple Geometry , 1998 .
[4] Tibor Tarnai. Packing of Equal Circles in a Circle , 1998 .