Appearance
Polycyathus muellerae is a colonial species of coral with large polyps. The individual polyps are at first joined by an encrusting basal lamina but with time this may get worn away and other organisms may take up residence between the polyps. Growth in this species is achieved by budding from the basal lamina, and the rather diffuse colonies may be a metre or so in diameter. Each individual polyp sits in a corallite or stony cup, about 6 mm (0.24 in) in diameter and 10 mm (0.4 in) high. The corallites have up to four cycles of toothed septa (stony ridges) making 48 septa in total. Both corallites and polyps are brown and the tentacles, 3 to 4 mm (0.12 to 0.16 in) long, have white granulations and white cylindrical tips.

