Shell kidney-shaped, one and two-third times as broad as long, very similar to the preceding species (or only a variety of it?). Ring with seven pairs of branched apophyses. The large naso-orbital area is on the dorsal or occipital side simple, on the ventral or facial side divided by an equatorial pair of transverse horizontal branches into two superior orbital, and two inferior nasal holes. Sternal incision ovate. All meshes simple. _Dimensions._--Shell 0.25 to 0.35 long, 0.4 to 0.5 broad; ring .007 to 0.08 long. _Habitat._--Central Pacific, Station 274, depth 2750 fathoms. 3. _Nephrospyris phaseolus_, n. sp. Shell kidney-shaped, twice as broad as long, very similar to the two preceding species (or only a variety of them?). Ring with eight pairs of branched apophyses. The large naso-orbital area (between the mitral and collar ring) is on the dorsal and on the ventral side divided by two equatorial pairs of horizontal branches into two superior (orbital and occipital), and two inferior (nasal and suboccipital) holes. Sternal incision cordate. All meshes simple. _Dimensions._--Shell 0.25 long, 0.5 broad; ring 0.06 to 0.07 long. _Habitat._--Central Pacific, Station 266, depth 2750 fathoms. {1102}4. _Nephrospyris cordata_, n. sp. Shell heart-shaped, about as long as broad. Ring with six pairs of branched apophyses (as in _Nephrospyris renilla_, Pl. 90, fig. 9). No equatorial transverse branches. Sternal incision cordate, deeper than in all other species of the genus, nearly half as long as the shell. All meshes of the network simple. _Dimensions._--Shell 0.32 long, 0.36 broad; ring 0.05 to 0.06 long. _Habitat._--Central Pacific, Station 263, depth 2650 fathoms. Subgenus 2. _Paradictyum_, Haeckel, 1881, Prodromus, p. 444. _Definition._--Network of the shell double; the larger meshes separated by strong bars, and filled up by a very delicate secondary arachnoidal network. 5. _Nephrospyris paradictyum_, n. sp. (Pl. 90, figs. 1-8). _Paradictyum paradoxum_, Haeckel, 1881, Prodromus et Atlas, _loc. cit._ Shell nearly circular, ten times as broad as the inflated marginal girdle, and three times as long as the sternal incision. Ring with six pairs of branched apophyses; the bars of the apical pair nearly vertical, of the basal pair divergent; the corresponding and opposite bars of the two middle pairs (on the occipital and on the frontal face) form together a large middle naso-orbital area; above and below this lie six pairs of larger meshes. All larger meshes of the network are filled up by very delicate arachnoidal framework. The inflated and delicately reticulated marginal girdle of this and of the following closely allied species is usually filled up by nucleated roundish cells (fig. 7), which are Vorticellinæ, according to the observations of Dr. John Murray on living specimens. _Dimensions._--Diameter of the shell 0.5 to 0.6, of the marginal girdle 0.05 to 0.07; ring 0.07 to 0.09 long.