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Pascal's Fractals

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Author:Ivars Peterson (MathLand)
Description: It's possible to convert Pascal's triangle into eye-catching geometric forms. For example, one can replace the odd coefficients with 1 and even coefficients with 0. Continuing the pattern for many rows reveals an ever-enlarging host of triangles, of varying size, within the initial triangle. In fact, the pattern qualifies as a fractal. The even coefficients occupy triangles much like the holes in a fractal known as the Sierpinski gasket.

Levels: High School (9-12), College
Languages: English
Resource Types: Articles
Math Topics: Number Sense/About Numbers, Patterns/Relationships, Fractals

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