  Hyperuniformity is a property of certain heteroneous media in which density
fluctuations in the long wavelength range decay to zero. In reciprocal space
this behavior translates into a decay of Fourier intensities in the range near
small wavenumbers. In this paper quasiperiodic tilings constructed by word
concatenation are under study. The lattice is generated from a parameter given
by its continued fraction so that quasiperiodicity emerges for infinite when
irrational generators are into consideration. Numerical simulations show a
quite regular quadratic decay of Fourier intensities, regardless of the number
considered for the generator parameter, which leads us to formulate the
hypothesis that this type of media is strongly hyperuniform of order 3.
Theoretical derivations show that the density fluctuations scale in the same
proportion as the wavenumbers. Furthermore, it is rigorously proved that the
structure factor decays around the origin according to the pattern $S(k) \sim
k^4$. This result is validated with several numerical examples with different
generating continued fractions.
