Pilae stacks are stacks of pilae tiles, square or round tiles, that were used in Roman times as an element of the underfloor heating system, common in Roman bathhouses, called the hypocaust. The concept of the Pilae stacks is that the floor is constructed at an elevated position, allowing air to freely circulate underneath and up, through the hollow bricks, into the structure walls. Examples of such baths are found not only in Rome, but also in Roman Britain and distant parts of the Roman Empire such as the baths at Chellah, in modern-day Morocco.
This architectural technique was the first form of underfloor heating and the same principle is still used today.