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KAVITA AUL

Sierpinski Triangle & Pyramid

Grades: 5th Grade, 7th Grade, 6th Grade
Subjects: Math

Student Instructions

Most students don’t know much about fractals and are completely unaware that these geometric structures have so many potential applications in the study of the natural world, computer graphics, and electrical engineering. Simply put, fractals are complex repeating patterns. They are made up of smaller versions of themselves. One of the simplest fractal forms is the Sierpinski triangle. The Sierpinski triangle is a fractal and attractive fixed set with an overall shape of an equilateral triangle subdivided recursively into smaller equilateral triangles. It is a beautiful way to show how a simple equilateral triangle is used as a pattern to build a complex shape. You can see that the main triangle is made up of three similar versions of itself and each of them is made up of three smaller versions of itself and each of these is made up of three smaller versions of itself and so on… This pattern keeps on forever. Legos are a toy for all ages, and they are the perfect apparatus for making fractals. This project is really cool to make if your students love geometry. If you are teaching triangles, similarity, fractions, or are attempting to have fun at the same time- This project turns mathematics into a game and art. To make this project, you may need a lot of legos. For instance, you need 3⁵=243 2x2 legos to make this Sierpinski triangle below. You can order them here so you may save some money.

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