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Learning Exercise

Material: Box Dimension
Submitted by: Kurt Cogswell on Jul 25, 2004
Date Last Modified: Jul 25, 2004
Title: Fractal Dimension of the Sierpinski Triangle
Description: 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.
Type of Task: Individual, Student-centered, Supplemental activity, Team, Unsupervised
Topics: Dimension Calculations, Fractals, Sierpinski Triangle
Course: Calculus, Geometry
Audience: College General Ed, High School
Prerequisites Skills: Familiarity with fractal, logarithms, and limits.
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.
Text of Learning Exercise:
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