Fig. S2.

(A) Schematic of a homogeneous tactoid droplet defining the local surface normal $\widehat{\mathit{N}}$ and the nematic director field $\widehat{\mathit{n}}$. (B) Tactoid shape parameters: major axis (L), minor axis (r), radius (R), and the central angle ($\mathit{\alpha }$). (C) Dependence of the rescaled free energy, $\mathit{F}/{\mathit{\gamma }}_{\mathit{I}}{\mathit{V}}^{2/3}$, on the tactoid angle $\mathit{\alpha }$, at various values of the anchoring strength $\mathit{\omega }$. (D) Dependence of the droplet aspect ratio on the anchoring strength. Solid circles represent points obtained via numerical minimization of the free energy. Solid curves denote asymptotic scaling relations predicted by the continuum theory.