In this work we extend the algebraic approach introduced in the contex
t of general Fibonacci systems [E. Macia and F. Dominguez-Adame, Phys.
Rev. Lett. 76, 2957 (1996)] to analytically study the transmission co
efficient of a subset of states in the fractal Koch lattice. We report
on the existence of extended states whose transmission coefficients p
eriodically oscillate as the Koch curve approaches its fractal limit.