= SU(3) highest-weight coordinates
{c}
{title2=$(p,q)=(a/2,(a+2b)/(2\sqrt3))$}
With $H_1=\operatorname{diag}(1,-1,0)/2$ and $H_2=\operatorname{diag}(1,1,-2)/(2\sqrt3)$, the simple roots are $(1,0)$ and $(-1/2,\sqrt3/2)$. Their coroots give <Dynkin labels> $a=2p$ and $b=\sqrt3q-p$ for Cartesian <highest-weight coordinates> $(p,q)$. Finite-dimensional irreducible representations require $a,b\in\mathbb Z_{\geq0}$. The vertical coordinate is $\sqrt3/2$ times <flavor hypercharge>.
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