Pipette racks go by many names. Pipette stands, pippete holders, pipettery doodads, you get the gist.
Pipette racks/stands/holders/doodads are designed to store pipets for immediate use. They're typically made of plastic (often polypropylene) for durability & safety, and they're typically placed on a benchtop.
Beyond that, variety abounds. A variety of pipete rack base sizes means that you can choose the right size for your lab bench, and there are several styles, including stands that allow pipettes to drain onto a cleanable base.