  We study universality of geometric gauge sectors in the string landscape in
the context of F-theory compactifications. A finite time construction algorithm
is presented for $\frac43 \times 2.96 \times 10^{755}$ F-theory geometries that
are connected by a network of topological transitions in a connected moduli
space. High probability geometric assumptions uncover universal structures in
the ensemble without explicitly constructing it. For example, non-Higgsable
clusters of seven-branes with intricate gauge sectors occur with probability
above $1-1.01\times 10^{-755}$, and the geometric gauge group rank is above
$160$ with probability $.999995$. In the latter case there are at least $10$
$E_8$ factors, the structure of which fixes the gauge groups on certain nearby
seven-branes. Visible sectors may arise from $E_6$ or $SU(3)$ seven-branes,
which occur in certain random samples with probability $\simeq 1/200$.
