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Divisor Plot

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Visit this site: http://www.divisorplot.com/

Author:Jeffrey Ventrella
Description: "We hear of primes described as the 'building blocks' of all numbers. Let's turn that concept on [its] head. Instead, let's think of primes as the negative spaces behind complex objects. Imagine a series of picket fences stacked in front of each other. Each picket fence has different spacing between its wooden slats. The superimposition of fences creates line moire patterns. Consider the Sieve of Eratosthenes...." One man's quest to visualize number theory with the plot formed by the set of all integer locations in the x,y plane (where y is positive) for which x mod y = 0. divisorplot.com, with its illustrations and Java applets to explore structures among the composite numbers, expands on a presentation Ventrella gave in Boston at the 7th International Conference on Complex Systems. Ventrella's home page further links to projects such as Number Portraits, Number Tree (factoring), Calculating Pi using Buffon's Needle, Gravity Tetris, Cloctal (a fractal timepiece), Gliders and Riders (evolving cellular automata), The Gestural Turing Test, Cellular Automata on a Sphere, and a taxonomy of plane-filling curves.

Levels: Middle School (6-8), High School (9-12), College
Languages: English
Resource Types: Recreations, Web Interactive/Java
Math Topics: Factors, Prime Numbers, Patterns/Relationships, Fractals, Number Theory, Art

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