The Collaborative International Dictionary of English v.0.48:

Cyathophylloid \Cy`a*tho*phyl"loid\ (s?`?-th?-f?l"loid), a. [NL.
   cyathophyllum, fr. Gr. ky`aqos a cup + fy`llon a leaf.]
   (Paleon.)
   Like, or pertaining to, the family Cyathophyllid[ae].
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Cyathophylloid \Cy`a*tho*phyl"loid\, n. (Paleon.)
   A fossil coral of the family Cyathophyllid[ae]; sometimes
   extended to fossil corals of other related families belonging
   to the group Rugosa; -- also called cup corals. Thay are
   found in paleozoic rocks.
   [1913 Webster]