A novel fractal analysis of the cosmic web structure is carried out , employing the Sloan Digital Sky Survey , data release 7 . We consider the large-scale stellar mass distribution , unlike other analyses , and determine its multifractal geometry , which is compared with the geometry of the cosmic web generated by cosmological N -body simulations . We find a good concordance , the common features being : ( i ) a minimum singularity strength \alpha _ { \mathrm { min } } = 1 , which corresponds to the edge of diverging gravitational energy and differs from the adhesion model prediction ; ( ii ) a “ supercluster set ” of relatively high dimension where the mass concentrates ; and ( iii ) a non-lacunar structure , like the one generated by the adhesion model .