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This paper model depicts a dramatic apartment building consisting of two intersecting pyramids, the upper one inverted.

At the roof level, 150 feet on a side and 150 feet above the ground, is a grassy recreation park.  Because of the shape of the building, this park actually has 3½ times as much land area as is taken up by the base of the building itself.

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The first floor of the lower black pyramid is only 80 feet on a side.  Above it is the second floor.  Then note the horizontal pencil lines bounding the intersection of the two pyramids; the third and fourth floors, consisting of a public lobby, lie between these lines.  The outer wall of this lobby consists of 16 triangles, half leaning in, half leaning out.

Above it, the fifth through fourteenth floors (in the upper pyramid) have outward-leaning walls and windows.  Each floor has four to eight apartments surrounding the central elevator and stairs.

 

Note:  Other people have designed spectacular inverted-pyramid buildings that have actually been constructed.

I even used to work on the ground floor of this rather more subtle example.