Scale dependent dimension of luminous matter in the universe

We suggest a geometrical model for the distribution of luminous matter in t he Universe, where the apparent dimension. D(I), increases linearly with th e logarithm of the scale I. Beyond the correlation length, xi, the Universe is homogeneous, and D = 3. Comparison with data from the SARS redshift cat alog. and the LEDA database provides a good fit with a correlation length x i similar to 300 Mpc. This type of scaling structure was recently discovere d in a simple reaction-diffusion "forest-fire" model, indicating a broad cl ass of scaling phenomena.