Some people have the cadillac, otherwise known as trap (trapeze) table, at home. But because it requires a lot of client specific instruction, the cadillac is most commonly used in private sessions in Pilates studios. Sometimes the cadillac is part of a reformer that converts to a mat.
Core Pilates NYC sent this nice photo of a woman working on the cadillac. The apparatus pictures are from Peak Pilates (upper) and Balanced Body (lower). See more cadillac exercises in the Advanced Pilates Gallery

