  Skyrmion crystals are the field configurations which minimize the energy per
baryon in the infinitely large topological charge sector of the Skyrme model,
at least for sufficiently high density. They are, therefore, an important tool
to describe the ground state of cold, symmetric nuclear matter at high density
regimes. In this work, we analyze different crystalline phases and the
existence of phase transitions between them within the generalized Skyrme
model, with the ultimate goal of describing symmetric nuclear matter in a wide
regime of densities. Furthermore, we propose a new energy-minimizing phase for
densities lower than the nuclear saturation point ($n_0$) which also presents a
good qualitative behavior in the zero density limit, thereby improving the
description of strongly interacting matter in the region $n<n_0$.
