By Sarah Yang
It seemed to materialize over the course of the week, this strange object that sat in the IMC. Triangle sat upon triangle, towering above the bookshelves and library users. As students and faculty stroll, they attempt to hide their curiosity, but the question can be clearly seen on their faces: What is that?
Mathematics teacher Mr. Kelley smiles knowingly. He and his three sections of Geometry have been working diligently since before Thanksgiving break to construct the structure that which sits in the IMC. They only just completed their strenuous task the Monday of this week.
Made from a series of pyramids stacked in groups of four, this structure is known as the “Sierpinski Pyramid”. It was named after the Polish mathematician Waclaw Sierpinski, who created it in 1915.
The Sierpinski Pyramid is a basic example of a self-similar set. In other words, it’s a pattern that can be reproduced at any scale or magnitude.
The Pyramid in the IMC had 5 levels of reproduction:
1. The 2-D pyramid template
2. 1 constructed pyramid template
3. 4 constructed pyramid templates taped/glued together
4. 4 of the previously constructed pyramids (4 of #3) taped/glued together
5. 4 of those previously constructed pyramids (4 of #4) taped/glued together
In regard to Geometry, the Pyramid is utilized for teaching about similar figures.
“I think [my students] learned a lot about similar figures and had fun while doing it. Besides, it looks cool,” said Mr. Kelley.
This was the first time in over eight years that a Sierpinski Pyramid has been built and set in the IMC. Depending on what curriculum is established for Geometry next year, students may or may not be engaging in creating another Sierpinski Pyramid.