  The Skyrme model has two Skyrmion solutions of baryon number $12$, with
$D_{3h}$ and $D_{4h}$ symmetries. The first has an equilateral triangular shape
and the second an extended linear shape, analogous to the triangle and linear
chain structures of three alpha particles. We recalculate the moments of
inertia of these Skyrmions, and deduce the energies and spins of their
quantized rotational excitations. There is a good match with the ground-state
band of Carbon-12, and with the recently established rotational band of the
Hoyle state. The ratio of the root mean square matter radii also matches the
experimental value.
