Mathematical Experiment 7

Construct this structure by joining four surfaces each of which is a part of the paraboloid:

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Construct this structure by joining four surfaces each of which is a part of the hemisphere:

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Construct three mutually tangential cylinders of the same size situated like this:

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Arrange three identical mutually tangential cones like this:

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Arrange four identical mutually tangential half-cones like this:

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Arrange eight identical half-cones each tangent to the other three like this:

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Construct the solid bounded by the parabolic cylinder

z = 4 - y2

and the elliptic paraboloid

z = x2 + 3y2.

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