Figure 1: Given a triangle formed by three points a1, a2 and a3, construct three equilateral triangles such that each contains one of the edges from the triangle a1a2a3. Then circum- scribe each equilateral triangle. The point of intersection of these three circles is the point that yields the minimum distance to the points a1, a2 and a3 is called “the Torricelli Point” and is denoted in the image by x∗.