Electrical resistance of N-gasket fractal networks

We study self-similar local regular Dirichlet, or energy, forms on a class of fractal N-gaskets, which are generalizations of polygaskets. This is directly related to self-similar diffusions and resistor networks (electrical circuits). We prove existence and uniqueness, and also obtain explicit formulas for scaling factors and resistances (transition probabilities). We also study asymptotic behavior of these quantiles as the number of "sides" N of an N-gasket tends to infinity.