These are the three diminishings of the quartic pentecontahexicositetrahedron (kuq). As diminishings of a quasiregular, they all behave similarly to the pentagonal rotunda with a single zone of preserved faces bounded by a central face. In the case of the quartics though, there are multiple central octagonal faces, which in the hyperbolic plane appear as straight. In the images below, the removed faces are represented with chasms (void). Differently colored lines represent different central octagons, although they all share the same symmetry orbit.
List
Quartic parva rotunda (quapro) — has 2+6+6 triangular, 6 heptagonal and 3 central octagonal faces. Has order 12 twice-triangular symmetry.Quartic media rotunda (quamro) — has 4+4+4+4+4+4+4 triangular, 4+4+4 heptagonal and 4 central octagonal faces. Has order 8 twice-rectangular symmetry. It is the blend (merge) of two quarop at one octagon and is its own inverse faceting.Quartic grandis rotunda (quagro) — has 6+12+12+12 triangular, 6+6+6 heptagonal and 3 central octagonal faces. Has order 12 twice-triangular symmetry. It is the inverse faceting of quarop, as well as being the blend of three quarop.
quapro
quamro
quagro