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A birotunda in which the bases are in the same orientation.

The edge of a polygon or face of a polyhedron are sometimes called sides.

A ball of radius 1.

Kepler's original name for the small stellated dodecahedron.

A method of constructing uniform polyhedra.

Enclose a sphere in a cylinder and cut out a spherical segment by slicing twice perpendicularly to the cylinder's axis. Then the lateral surface area of the spherical segment ...

Let a cone of opening parameter c and vertex at (0,0,0) intersect a sphere of radius r centered at (x_0,y_0,z_0), with the cone oriented such that its axis does not pass ...

There are a number of attractive cube 20-compounds that can be constructed by taking the duals of the octahedra in the two octahedron 20-compounds. The second of these was ...

There are a number of attractive cube 25-compounds. One can be constructed from the vertices of the second dodecahedron 6-compound (or second tetrahedron 50-compound) and ...

Given four points chosen at random inside a unit cube, the average volume of the tetrahedron determined by these points is given by ...