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

Material:: Box Dimension
Date last modified:: July 25, 2004
Created by:: Kurt Cogswell
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Box Dimension

Box Dimension

Box Dimension is a Java-applet based page that allows students to compute box-counting dimensions for a variety of... see more

Material Type:: Simulation
Author:: ginger booth, gingerbooth.com
User Rating:: 5 stars

Exercise

Disciplines

Mathematics and Statistics / Mathematics / Dynamical Systems / Fractal Geometry

Audience

Requirements

Familiarity with fractal, logarithms, and limits.

Topics

Dimension Calculations, Fractals, Sierpinski Triangle

Type of Task

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.