Hill house with infinity pool

I’ve a plot of land with a hill…not a mountain however a kinda huge hill with a lake view. Im planning to construct a home with infinity pool on that hill. Not a giant home. Im pondering to have that pool on the roof of a home for higher views (like added picture however with a pool on the roof) however a whole lot of infinity swimming pools i see on-line are on decrease finish – first flooring. Any recommendation?

Sorry for dangerous english, not my major language.