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I came across this online the other day:

I came up with a formula for calculating the mass supported by such a sphere of air (as a function of temperature, height and radius), and just wanted to see if my math checks out.

http://designbyninjas.com/calculation.jpg [Broken]

Also, since the air pressure is the same inside as out, would there be any feasible way to pressurize such a system?

As a sphere gets bigger, the volume it encloses grows much faster than the mass 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.

I came up with a formula for calculating the mass supported by such a sphere of air (as a function of temperature, height and radius), and just wanted to see if my math checks out.

http://designbyninjas.com/calculation.jpg [Broken]

Also, since the air pressure is the same inside as out, would there be any feasible way to pressurize such a system?

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