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Forma, Vol. 30 (No. 1), pp. 5157, 2015
doi:10.5047/forma.2015.007

Topological Properties of the Braid Stirring Pattern

Yoshihiro Yamaguchi

Teikyo Heisei University, Ichihara, Chiba 290-0170, Japan
E-mail address: chaosfractal@iCloud.com

(Received June 17, 2015; Accepted October 1, 2015)

Abstract. Put several rods in the fluid and stir them with the rules of braid. A beautiful and strange stirring pattern appears on the surface of the fluid. We name this pattern "the braid stirring pattern (BSP)". We discuss the topological properties of BSP, for example, the tunnel number, the growth rate of tunnel length, and the ratios among tunnel lengths.

Keywords: Braid Stirring Pattern, Topological Chaos, Tunnel Number, Growth Rate of Tunnel Length, Ratios among Tunnel Lengths


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