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Turtle Tracks

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Visit this site: http://www.maa.org/mathland/mathtrek_7_24_00.html

Author:Ivars Peterson (MathTrek)
Description: One way to describe a geometric figure is in terms of the path generated by a moving point. Using the computer language LOGO, children can produce a list of commands to govern the motion of a "turtle" and trace out a geometric track on the computer screen. Such a turtle can be programmed to generate an endless variety of patterns. Mathematicians can use similar algorithms to generate fractals and other forms. Certain sequences of moves produce patterns known as spirolaterals, which generate artistic forms of unexpected complexity and beauty, and can serve as idea generators for architects...

Levels: High School (9-12), College
Languages: English
Resource Types: Articles
Math Topics: Euclidean Plane Geometry, Triangles and Other Polygons, Art, Architecture

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