  We show how to apply tiling and pattern theory in the design of hollow-core
photonic crystal fibers and guide light in multiple bandgaps. By combining two
different glass apexes in a single [$3^6$;$3^2$.$4.3.4$] 2-uniform tiling,
transmission regions with fundamental, second and third harmonic wavelengths
are supported. This cladding design may also be an excellent candidate for high
power beam delivery of Er/Yb, Nd:YAG and Ti:Sapphire laser sources.
