"Cloud nines are airborne habitats first proposed by Buckminster Fuller. Fuller proposed that giant geodesic spheres might be made to levitate by heating the air inside.

Geodesic spheres (structures of triangular components arranged to make a sphere) become stronger as they become bigger, due to how they distribute stress over their surfaces. Because of this, they may be imagined on colossal scales.

As a sphere gets bigger, the volume it encloses grows much faster than the volume of the enclosing structure itself. Fuller suggested that the mass of a mile-wide geodesic sphere would be negligible compared to the mass of the air trapped within it. He suggested that if the air inside such a sphere were heated even by one degree higher than the ambient temperature of its surroundings, the sphere could become airborne. He calculated that such a balloon could lift a considerable mass, and hence that 'mini-cities' or airborne towns of thousands of people could be built in this way. These 'cloud nines' could be tethered, or free-floating, or perhaps maneuverable so that they could 'migrate' in response to climatic and environmental conditions."

-text from wikipedia

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