  We study the convergence of resistance metrics and resistance forms on a
converging sequence of spaces. As an application, we study the existence and
uniqueness of self-similar Dirichlet forms on Sierpinski gaskets with added
rotated triangles. The fractals depend on a parameter in a continuous way. When
the parameter is irrational, the fractal is not post critically finite
(p.c.f.), and there are infinitely many ways that two cells intersect. In this
case, we will define the Dirichlet form as a limit in some $\Gamma$-convergence
sense of the Dirichlet forms on p.c.f. fractals that approximate it.
