The Chaos Machine

The "machine" generates 5000 points based upon a random selection of points. Each point is chosen iteratively to be a particular fraction of the way from a current point to a randomly chosen vertex. For carefully chose fractions, the results are intriguing fractal patterns, belying the intuition that randomness must produce random-looking outputs.

Resource ID#: 124469 Type: Problem-Solving Task

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General Information

Subject(s): Mathematics

Grade Level(s): 9, 10, 11, 12

Intended Audience: Educators

Suggested Technology: Computer for Presenter, Computers for Students

Instructional Time: 50 Minute(s)

Keywords: fractal, chaos, similarity

Instructional Component Type(s): Problem-Solving Task

Instructional Design Framework(s): Guided Inquiry (Level 3)

Resource Collection: Integrated STEM Centered on Geometry Follow-up Program

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