  We first briefly review the Coset Space Dimensional Reduction (CSDR)
programme and present the results of the best model so far, based on the
$\mathcal{N} = 1$, $d = 10$, $E_8$ gauge theory reduced over the
nearly-K\"ahler manifold $SU(3)/U(1)\times U(1)$. Then, we present the
adjustment of the CSDR programme in the case that the extra dimensions are
considered to be fuzzy coset spaces and then, the best model constructed in
this framework, too, which is the trinification GUT, $SU(3)^3$.
