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The Roman heating system was called a hypocaust. How did Romans heat their homes?Rich Romans liked to be warm and cosy. They had central heating at home, in villas and in public baths. The heating system was kept going by slaves, who kept a fire blazing in a furnace to heat warm air. The warm air moved around the building through spaces under the floors and between the walls.
I realized that because air releases heat when compressed, and absorbs it when released, a system could be made which heats and cools a house by compressing air in the winter, and releasing it in the summer. Which would have the obvious advantage of the cooling process being less pumping heat to another place than another time.