A conformal mapping from one of these objects to a plane can be carried out using a Wulff net and is called the stereographic projection. Brouwer proved that at least one cyclone must exist on the earth at all times, but that theorem does not hold on a hairy doughnut. One of these objects can be doubled in volume by moving and rotating pieces in the Banach-Tarski paradox. The sum of interior angles of triangles on these objects is less than 180 degrees, and their geodesics are segments of great circles. They are created
A conformal mapping from one of these objects to a plane can be carried out using a Wulff net and is called the stereographic projection. Brouwer proved that at least one cyclone must exist on the earth at all times, but that theorem does not hold on a hairy doughnut. One of these objects can be doubled in volume by moving and rotating pieces in the Banach-Tarski paradox. The sum of interior angles of triangles on these objects is less than 180 degrees, and their geodesics are segments of great circles. They are created by revolving a semicircle around its radius. For 10 points, name these geometric entities whose volume is four-thirds pi times the cube of their radius.
A conformal mapping from one of these objects to a plane can be carried out using a Wulff net and is called the stereographic projection.
spheres [prompt on balls] 