  Prompted by recent work of Adhikari, Cohen, Ayyagari and Strother "On chiral
symmetry restoration at finite density in large-N_c QCD" (Phys. Rev. C 83,
065201 (2011)), we revisit the description of dense baryonic matter in terms of
hyperspherical unit cells. We focus mainly on the interpretation of the unique
energy, curvature and symmetry properties which enable such S^3 cells to
describe full chiral restoration in Skyrme models and which markedly
distinguish them from the flat and periodic unit cells of Skyrmion crystals.
These key features clarify, in particular, why an S^3 cell interpretation as a
crystal-cell model in which the specific cell geometry is without physical
significance, as tentatively adopted by Adhikari et al., is insufficient. The
ensuing criticism does therefore not apply to the usual interpretation of S^3
cells which we describe. We also suggest a few directions in which the latter
interpretation may be developed further.
