# Sharol Nau

Artist

Northfield, Minnesota, USA

I've been an artist since the 1970's. In recent years I've based some of my artwork on simple math problems. My artistic practice involves taking a simple mathematical idea and enhancing its visual interest through technique, color and texture.

How Many Triangles Do You See, Base Four

25 x 25 cm

Paper collage

2020

Let T(n) be the number of similar triangles formed when an isosceles triangle of base length n is subdivided into similar triangles of base length 1. For the case n = 4, in addition to the original base-4 triangle there are 13 base-1 triangles as well as three of base-3 and seven of base-2 for a total of T(4) = 27. For n = 5, T(5) = 48. In general T(n) = ?