| Summary: | In this paper, we explicitly construct the smooth compact base threefold for
the elliptic Calabi-Yau fourfold with the largest known $h^{1,1}=303\,148$. It
is generated by blowing up a smooth toric "seed" base threefold with
$(E_8,E_8,E_8)$ collisions. The 4d F-theory compactification model over it has
the largest geometric gauge group, $E_8^{2\,561}\times F_4^{7\,576}\times
G_2^{20\,168}\times SU(2)^{30\,200}$, and the largest number of axions,
$181\,820$, in the known 4d $\mathcal{N}=1$ supergravity landscape. We also
prove that there are at least $1100^{15\,048}\approx 7.5\times 10^{45\,766}$
different flip and flop phases of this base threefold. Moreover, we find that
many other base threefolds with large $h^{1,1}$ in the 4d F-theory landscape
can be constructed in a similar way as well.
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