Full Size Fishtail PalmWhat is the Fishtail palm? The lovely Fishtail palm has unusual leaves: The overall shape and the ragged, feathery edges make them look like a fishs swishy tail. The leaves are known to make excellent thatch, but if you dont plan to thatch a roof anytime soon, they also have heavy air purifying skills. Thats one reason to keep the Fishtail palm indoors. The big Fishtail palm plant has an odd life cycle; it flowers when it reaches maturity, then dies