  Using a unified formulation of $\mathcal{N} = 1, 2, 4, 8$, super Yang-Mills
theories in $D = 3$ spacetime dimensions with fields valued respectively in
$\mathbb{R, C, H, O}$, it was shown that tensoring left and right multiplets
yields a Freudenthal magic square of $D = 3$ supergravities. When tied in with
the more familiar $\mathbb{R, C, H, O}$ description of super Yang-Mills in $D =
3, 4, 6, 10$ this results in a magic pyramid of supergravities: the known $4
\times 4$ magic square at the base in $D=3$, a $3\times 3$ square in $D=4$, a
$2 \times 2$ square in $D=6$ and Type II supergravity at the apex in $D=10$.
