In a golden triangle (an isosceles triangle where the ratio of the side to the base equals the golden ratio [math]\varphi[/math], and whose angles measure 36°-72°-72°), removing a golden gnomon (an isosceles triangle whose side lengths are in the golden ratio relative to the longest side of the original triangle) results in another golden triangle.[br][br]These steps can be repeated over and over, decomposing the original triangle into an infinite sequence of similar golden triangles, by fixing a direction and determining the intersection of the base angle bisector with the opposite side at each step.[br][br]By drawing circular arcs with an angular width equal to the vertex angle of the gnomon, 108°, you obtain a golden logarithmic spiral.