Learning Exercise

Fractal Dimension of the Sierpinski Triangle

This assignment was created by Marjorie Kindle of Yankton High School, Yankton, South Dakota. It leads the student through the process of computing the dimension of a set, and applies this knowledge to computing the (non-integral) dimension of the Sierpinski Triangle.
Course: Calculus, Geometry
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Box Dimension is a Java-applet based page that allows students to compute box-counting dimensions for a variety of... see more

Exercise

Requirements

Familiarity with fractal, logarithms, and limits.

Topics

Dimension Calculations, Fractals, Sierpinski Triangle

Learning Objectives

Students will understand the procedure for calculating the dimension of a set and realize that this calculation may produce a non-integral result.