The boxy seven-seat shuttlecraft carried by Constitution-class starships in the 2260s, the type to which the Enterprise's Galileo and Columbus belonged.
The class F shuttlecraft is a small craft with a flat-sided cabin, two nacelles slung beneath and a hatch on the port side. It seats a pilot and six others and is used for short trips when the transporter cannot be used. The name of the class is given by the Enterprise computer in The Menagerie, when it identifies the shuttle in which Kirk and Mendez chase the ship from Starbase 11.
The type is first seen in The Galileo Seven, where Spock's first command ends in a crash on Taurus II. Later shuttles carry Kirk, Spock, McCoy and Commissioner Hedford in Metamorphosis, Commodore Decker on his fatal flight into the planet killer in The Doomsday Machine, Spock into the giant amoeba in The Immunity Syndrome and Sevrin's group to Eden in The Way to Eden.