1. The problem statement, all variables and given/known data Here is an interesting problem... there is a wire bent in the shape of an equilateral triangle, side length = a and resistivity = rho. In the center of this triangle is another equilateral triangle (inverted, side = a/2, resistivity = rho) and so on into infinity. What is the overall resistance between points A and B in terms of a and rho? 2. Relevant equations R = (rho * length)/area 3. The attempt at a solution I started by using the equation for resistivity, R = (rho * length)/area, but I wasn't sure if area would apply here. We aren't given any information about the wire beyond the shape and length. So I'm really asking for help in determining a good starting point... I don't know of any other equations that would incorporate rho and length.