Given a triangle , the vertices of its midpoint triangle are the midpoints of the sides of . A fractal is made by starting with an equilateral triangle and at each iteration adding vertices of any midpoint triangle and circles at these vertices, as well as at any vertex generated at a prior iteration, with the radius of the circles added at an iteration equal to the product of the length multiplier and the edge length of the midpoint triangles added at that iteration.

Alternatively, apply the replacement rules shown in white at the top wherever possible.