The 1970 Cathedral of Bras�lia by Oscar Niemeyer makes a different use of a hyperboloid structure; it is constructed from 16 identical concrete beams, each weighing 90 tonnes, . } } arranged in a circle to form a hyperboloid of revolution, the white beams creating a shape like hands praying to heaven.
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:: OTOH, the intersections for the hypercone if the variable with is treated like t is on the other side ( z ^ 2 = x ^ 2 + y ^ 2 + t ^ 2 ), then you get the hyperboloids of revolution of two sheets " inside " the cones . ..