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The Power of L-systems in Fractal Construction and Theory

Arnold Perham, Faustine Perham 

March 2005, Volume 98, Issue 7, Page 459

Abstract:
The use of L-systems, Applets that allow students to construct line fractals including the Koch snowflake, the Sierpinski triangle, and the Harter-Heighway dragon. Applets that use L-system theory offer a graphics tool that promotes geometric reasoning, sparks enthusiasm, and connects to historical themes in modern geometry. Examples of student work, questions and lesson plans, commands, data tables, and real pictures are included for teachers and students of calculus.

Keywords:
Graph Theory
Article
Calculus and Higher Level Mathematics
Interactives / Applets
Grades 9-12
Area
Constructions
Teacher
Perimeter / Circumference
Shapes
Representation