the icosahedron is a much stronger shape for larger constructions

It also has the advantage of using the strong shape to create four equal 90 degree areas from the center point.

This drawing gives some idea how the floor space is conveniently divided by four interior walls:

http://www.absoluteastronomy.com/topics/icosahedron

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https://gheorghe47.wordpress.com/2010/08/26/micro-dwellings-home-in-the-age-of-foreclosures/

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