1. The problem statement, all variables and given/known data So I have a pentagram of resistors, one in each branch of resistance "r". Each joint is also connected to the two joints across from it but none of the wires inside the pentagram are connected. I need to find the resistance between any two adjacent joints. 2. Relevant equations 3. The attempt at a solution Basically, I know I have to assign currents to each branch first and assume I know these currents because in the end they will divide out anyways. I know Kirchhoff's laws and how to add resistors in parallel and series. I'm just stuck on how the currents divide. Our teacher has given us an answer of 2/5 resistance and if you divide the current going in at one point into four due to symmetry, you won't get that. Help?