Gibbs is a lunar impact crater that lies near the eastern limb. It is situated less than a crater diameter to the northeast of the larger crater Hecataeus. The crater chain Catena Humboldt passes to the south , following a line to the northeast. Due to its proximity to the limb, this crater appears foreshortened when viewed from the Earth, and visibility is subject to libration. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.