Geometric Construction 8

Construct a cube rotation about the axis through the centers of two opposite faces.

Construct a hyperbolic paraboloid.

Construct an octahedron.

Construct the cuboctahedron

Construct a cylinder.

Construct a hyperboloid of one sheet.

Illustrate Desargues' two triangle theorem: If two triangles are perspective from a point, they are perspective from a line.

Construct the intersection of a cone with a plane.

Construct the intersection of a cylinder with a plane.

Construct a tetrahedron rotating about an axis through a vertex and the center of the opposite face.

Construct four mutually tangent circles in space.