  With the help of the theory of holomorphic and anti-holomorphic
differentials, G. A. Jones [Chiral covers of hypermaps, Ars Math. Contemp. 8
(2015), 425-431] proved that every regular hypermap of a non-spherical type is
covered by an infinite number of orientably-regular but chiral hypermaps of the
same type. We present a different proof of the same result for regular maps,
based on parallel products of maps and existence of chiral maps of a given
hyperbolic type with a symmetric or an alternating automorphism group.
