740 million years ago, proto-Tothtoon existed as a community of 3-metre-wide, shallows-dwelling octopi. After the adoption their patrons found that the new clients had been exploring mathematics for ages.
The Tothtoon have gone through six different stages of personal reengineering over their history, most recently transforming from armoured octopods, with chitinous shells, into helium-filled jellyfish, gliding the air-currents of their Retirement worlds.
A Tothtoon's gasbag flares out to four flat arms with feeder cilia on the underside. Though technically retired, they are active enough in Galactic affairs to advise younger races in their extended clan. Patrons of Rosh.