  We study the energy of a ferromagnetic/antiferromagnetic frustrated spin
system with values on two disjoint circumferences of the 3-dimensional unit
sphere in a one-dimensional and two-dimensional domain. It consists on the sum
of a term that depends on the nearest and next-to-nearest interactions and a
penalizing term that counts the spin's magnetic anisotropy transitions. We
analyze the asymptotic behaviour of the energy, that is when the system is
close to the helimagnet/ferromagnet transition point as the number of particles
diverges. In the one-dimensional setting we compute the $\Gamma$-limit of
renormalizations of the energy at first and second order. As a result, it is
shown how much energy the system spends for any magnetic anistropy transition
and chirality transition. In the two-dimensional setting, by computing the
$\Gamma$-limit of the renormalization of the energy at second order, we we
prove the emergence and study the geometric rigidity of chirality transitions.
