A Sierpinski Triangle is a fractal based on a triangle with four equal triangles inscribed in it. The central triangle is removed and each of the other three treated as the original was, and so on, creating an infinite regression in a finite space. It is named after the mathematician who described it inn 1915, although it is a very much older pattern. (Read about it on Wikipedia)
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Text from the YouTube page: "Sierpinski's triangle is a simple fractal created by repeatedly removing smaller triangles from the original shape. A really cool example of math tricks - this fractal seems to go on into infinity!"

Part 1
Text from the YouTube page:
"A talk I gave at a MathCounts competition on the value of solving problems in many different ways, using Sierpinski's triangle as a guiding example. We end up realizing that the object has no area, infinite perimeter, fractional dimension (!), and is intimately connected to randomness and numbers in ways we would never have expected."
You can watch Part 2, and Part 3 of this talk.

Web pages to visit:
Wolfram Demonstration
Fractal Right Triangle
Fractal Right Triangle
Triangle Fractal Cutout
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5 ways to form a Sierpinski Triangle
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