American Mathematical Society :: Feature Column A tangled tale linking lattices, knots, templates, and strange attractors . . . 1.Introduction Sometimes, seemingly unrelated objects turn out to be related... We would like to present here a mathematical example, exhibiting a close connection between two dynamical systems, one coming from number theory and the other from meteorology. In 1801, Carl Friedrich Gauss published Disquisitiones Arithmeticae, his first masterpiece. In 1963, the meteorologist Edward Lorenz was studying a very simplified numerical model for the atmosphere, which led him to the amazing strange attractor popularized through the famous butterfly effect: the flapping wings of a butterfly might cause some tiny change in the state of the atmosphere which can in turn lead to hurricanes! We would like to describe a close topological connection between these two mathematical objects. This article cannot be qualified as “mathematical” since it contains no proof! Our story is organized in a very simple way. 2.The Lorenz flow
Makehuman | Open source tool for making 3D characters Welcome to Color Matters Wings 3D | A Polygon Modeler Akiyoshi's illusion pages Akiyoshi's illusion pages Akiyoshi KITAOKA, Professor, Psychology, Ritsumeikan University, Osaka, Japan studying visual perception, visual illusion, optical illusion, trompe l'oeil, 3D, etc. Since May 18, 2002; Updated May 31, 2022 Japanese, Serb, Portuguese, Chinese; Illusion calender 2021 Warning: Commercial abuse of my illusion images is prohibited. Latest works (February 3, 2022) --- Newest page (December 23, 2021) --- Updated page (May 31, 2022) --- Illusion catalogue (June 3, 2014)Page list of this site --- Books (September 23, 2019) --- Papers (February 11, 2021) --- Illusion news (November 25, 2020) --- Photos (Nov 1, 2014) The Journal of Illusion welcomes your submissions. "Rotating snakes" Circular snakes appear to rotate 'spontaneously'. Copyright A.Kitaoka 2003 (September 2, 2003) Explanation of the elemental illusion (optimized Fraser-Wilcox illusion) (PDF) How this work was created (PDF) (Trick Eyes Graphics p.78) Gray-scale version (jpg) "Rotating rays" "The autumn color swamp"
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