I. Subfamily Coscinommida. (One single latticed shell.)
Spines all simple, not branched and not tubulous.
All spines of the same kind,
88. Acanthosphæra.
Larger main spines and smaller by-spines,
89. Heliosphæra.
Spines hollow conical tubes with porous walls,
90. Conosphæra.
Between simple spines the pores prolonged in hollow tubes,
91. Coscinomma.
Spines branched or forked.
Spines with lateral branches,
92. Cladococcus.
Spines forked or dichotomous,
93. Elaphococcus.
II. Subfamily Haliommida. (Two concentric latticed shells.)
A. Elatommida, one medullary and one cortical shell.
All spines equal, simple,
94. Haliomma.
All spines simple, of two different kinds,
95. Heliosoma.
Spines branched,
96. Elatomma.
B. Diplosphærida, both shells cortical.
No by-spines,
97. Leptosphæra.
Inner by-spines,
98. Diplosphæra.
Outer by-spines,
99. Drymosphæra.
Outer and inner by-spines,
100. Astrosphæra.
III. Subfamily Actinommida. (Three concentric latticed shells.)
Radial spines not branched.
All spines equal,
101. Actinomma.
Larger main spines and smaller by-spines,
102. Echinomma.
Radial spines branched or forked,
103. Pityomma.
IV. Subfamily Cromyommida. (Three concentric latticed shells.)
Radial spines not branched.
All spines equal,
104. Cromyomma.
Larger main spines and smaller by-spines,
105. Cromyechinus.
Radial spines branched or forked,
106. Cromyodrymus.
V. Subfamily Caryommida. (Numerous, five to ten or more, concentric latticed shells.)
Two medullary shells and three or more cortical shells (lattice work ordinary),
107. Caryomma.
No medullary shells (lattice work arachnoidal); three-sided prismatic spines, with verticils of three forked branches. (Arachnosphærida.)
Triangular meshes, simple bars, without diagonal bars,
108. Arachnopila.
Triangular meshes, simple bars; diagonal bars between the shells,
109. Arachnopegma.
Polygonal meshes, bars branched,
110. Arachnosphæra.

VI. Subfamily Spongiommida.

(Spherical shell whole or partly spongy, with or without enclosed latticed medullary shells in the centre.)

I. Tribe Spongodrymida, without latticed medullary shell.Spongy sphere solid.Spines simple,111. Spongiomma.
Spines branched,112. Spongodrymus.
Spongy sphere hollow.Spines simple,113. Spongechinus.
Spines branched,114. Spongothammus.
II. Tribe Rhizoplegmida, with one single latticed medullary shell.Medullary shell spherical.Framework arising from the medullary shell,115. Spongopila.
Framework separate from the medullary shell.No medullary by-spines,116. Rhizoplegma.
Medullary by-spines,117. Lychnosphæra.
Medullary shell a simple cube.Framework arising immediately from the medullary shell,118. Centrocubus.
Framework separate from the medullary shell,119. Octodendron.
III. Tribe Rhizosphærida, with two concentric latticed medullary shells.Framework arising from the medullary shell,120. Spongosphæra.
Framework separate from the medullary shell,121. Rhizosphæra.
VI. Subfamily Spongiommida. (Spherical shell whole or partly spongy, with or without enclosed latticed medullary shells in the centre.)
I. Tribe Spongodrymida, without latticed medullary shell.
Spongy sphere solid.
Spines simple,
111. Spongiomma.
Spines branched,
112. Spongodrymus.
Spongy sphere hollow.
Spines simple,
113. Spongechinus.
Spines branched,
114. Spongothammus.
Medullary shell spherical.
Framework arising from the medullary shell,
115. Spongopila.
II. Tribe Rhizoplegmida, with one single latticed medullary shell.
Framework separate from the medullary shell.
No medullary by-spines,
116. Rhizoplegma.
Medullary by-spines,
117. Lychnosphæra.
Medullary shell a simple cube.
Framework arising immediately from the medullary shell,
118. Centrocubus.
Framework separate from the medullary shell,
119. Octodendron.
III. Tribe Rhizosphærida, with two concentric latticed medullary shells.
Framework arising from the medullary shell,
120. Spongosphæra.
Framework separate from the medullary shell,
121. Rhizosphæra.

Subfamily Coscinommida, Haeckel.

Heliosphærida, Haeckel, 1881, Prodromus, pp. 449, 450.

Definition.—Astrosphærida with one single spherical lattice-shell.

Genus 88. Acanthosphæra,[[122]] Ehrenberg, 1858, Monatsber. d. k. preuss. Akad. d.

Definition.—Astrosphærida with one simple lattice-sphere, covered with simple radial spines of the same kind.

The genus Acanthosphæra exhibits the most simple form of all Astrosphærida; a simple spherical lattice-shell, the surface of which is covered by radial spines of one and the same kind. The number of the latter is very variable, often twelve to twenty, regularly disposed; in other cases forty to sixty or more; and sometimes at each nodal-point of the network a spine is developed.

Subgenus 1. Rhaphidococcus, Haeckel, 1862, Monogr. d. Radiol., p. 365 (sensu emendato).