Activity Description Generate complicated geometric fractals by specifying starting polygon and scale factor.

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Fractured Pictures

Place in mathematics curriculum:

• practice students' pattern recognition skills
• practice students' plane geometry skills
• practice students' reasoning and deduction skills
• illustrate the ideas of self-similarity and recursion
• demonstrate fractal objects

This activity allows the user to generate interesting, irregular fractals. This activity would work well in mixed ability groups of two or three for about twenty-five to thirty minutes if you use the exploration questions and fifteen minutes otherwise.

Preparations for this activity:

• give implicit directions on what they are to do. For example, "Today we are going to discover how to make fractals using ..."
• discuss fractions and symmetry