  We study vortex polygons and their stabilities in miscible two-component
Bose-Einstein condensates, and find that vortex polygons are stable for the
total circulation $Q \leq 5$, metastable for $Q = 6$, and unstable for $Q \geq
7$. As a related model in high-energy physics, we also study the vortex polygon
of the baby-Skyrme model with an anti-ferromagnetic potential term, and compare
both results.
