Large-scale structure in the distribution of galaxies is thought to ha
ve evolved through gravitational instabilities from small density fluc
tuations in the (largely homogeneous) early Universe. This structure o
f galaxies consists of rich and poor clusters, connected by filaments
and sheets, with regions largely devoid of galaxies (voids) in between
(1). Numerical simulations of the growth of initial density fluctuatio
ns through a nonlinear regime, motivated by the likely physics of the
early Universe, also show a network of filaments and voids(2,3,18), bu
t the origin of this picture of filaments as the dominant structure wa
s not well understood. Here we show that the 'web' of filaments that d
efines the final state in these simulations is present in the initial
density fluctuations; the pattern of the web is defined largely by the
rare density peaks in the initial fluctuations, with the subsequent n
onlinear evolution of the structure bringing the filamentary net work
into sharper relief. Applying these results to the observed galaxy dis
tribution, we suggest that 'superclusters' are filamentary cluster-clu
ster bridges, and we predict that the most pronounced filaments will b
e found between clusters of galaxies that are aligned,vith each other
and close together.