  We present results obtained with a 3D, Ly alpha radiative transfer code,
applied to a fully cosmological galaxy formation simulation. The developed
Monte Carlo code is capable of treating an arbitrary distribution of source Ly
alpha emission, neutral hydrogen density, temperature, and peculiar velocity of
the interstellar medium. We investigate the influence of resonant scattering on
the appearance and properties of young galaxies by applying the code to a
simulated "Lyman Break Galaxy" at redshift z = 3.6, and of star formation rate
22 M_sun/yr and total Ly alpha luminosity 2.0 X 10^43 erg/s. It is found that
resonant scattering of Ly alpha radiation can explain that young galaxies
frequently are observed to be more extended on the sky in Ly alpha than in the
optical. Moreover, it is shown that, for the system investigated, due to the
anisotropic escape of the photons, the appearent maximum surface brightness can
differ by a factor of ~15, and the total derived luminosity by a factor of ~4,
depending on the orientation of the system relative to the observer.
