The ray spiders (family Theridiosomatidae) are spiders most recognizable for their construction of cone-shaped webs. As of October 2015, the family consisted of 106 species in 18 genera.

Genera

As of October 2015, the World Spider Catalog accepts 18 genera:

Andasta Simon, 1895
Baalzebub Coddington, 1986
Chthonopes Wunderlich, 2011
Chthonos Coddington, 1986
Coddingtonia Miller, Griswold & Yin, 2009
Epeirotypus O. Pickard-Cambridge, 1894
Epilineutes Coddington, 1986
Karstia Chen, 2010
Luangnam Wunderlich, 2011
Menglunia Zhao & Li, 2012
Naatlo Coddington, 1986
Ogulnius O. Pickard-Cambridge, 1882
Parogulnius Archer, 1953
Plato Coddington, 1986
Sinoalaria Zhao & Li, 2014
Theridiosoma O. Pickard-Cambridge, 1879
Wendilgarda Keyserling, 1886
Zoma Saaristo, 1996

source - Wikipedia
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