  In this work, new solutions for regular black holes that have multihorizons
are proposed. These are formed by the direct product of solutions already
published in the literature, which are described through the coupling of
gravity with nonlinear electrodynamics. We analyze the regularity of the
spacetime, the electric field, and the energy conditions of each solution. The
strong energy condition is always violated within the event horizon in all
solutions, while other energy conditions depend on the ratio between extreme
charges of isolated solutions. For solutions with four horizons, we present two
examples, Bardeen-Culetu and Balart-Culetu. Both solutions are regular, but the
first do not satisfy all the energy conditions, except the strong, because it
has an extreme charge ratio of 1.57581, great value. The second solution, on
the other hand, can satisfy all other energy conditions, except the SEC, and
has an extreme charge ratio of 1.09915, a value that allows this feature. It's
also proposed a regular solution with up to six horizons,
Balart-Culetu-Dymnikova, where, for a given charge value, we can verify that it
satisfies all energy conditions, except the strong one. This was possible due
to the ratio between extreme charges that are neither too high nor too close.
We propose solutions with any number of horizons. We show that points where
$-F(r)$ has a non null minimum represent a cusp in the Lagrangian $-L(F)$. We
also show an example of multihorizon solution with magnetic charge.
Multihorizon solutions may exhibit exotic properties, such as negative energy
density, or violation of energy conditions, but which can be circumvented with
a selected choice of customized solutions and extreme charge values, resulting
in regular black hole solutions that satisfy all energy conditions, less the
strong.
