Iterative Designs with Similar Triangles

One of the best things about geometry is that it’s cool! Geometry enables us to create incredible designs and astounding patterns. This article shows how to use a simple technique (iteration) to create designs that are both cool and introduce important mathematical concepts. We give examples using one of the most common of geometrical constructions, namely, the similar triangle. In the final section, we suggest other possibilities that could be used for guided exploration or for student projects.