Convergence of Energy Forms on Sierpinski Gaskets with Added Rotated Triangle

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