petasus

As these sandals did not seem quite sufficient, however, the gods added the winged cap, Petasus, to the winged shoes.

Petasus, pet′a-sus, n. a low broad-brimmed hat worn by heralds, &c., characteristic of Hermes.

And one of them had a petasus and a golden caduceus, and the other had a trumpet.

He was presented by the King of Heaven with a winged cap, called petasus, and with wings for his feet, called talaria.

Of motion is often born inspiration—Hermes, god of oratory, is represented with petasus and talaria—and I am enjoying motion.