Calculation of a polyhedron when one of its vertices is fixed on a sphere.

An iterative procedure for calculating a polyhedron with an extreme vertex arrangement allows one point to be fixed at any point on the sphere. In the applet, point A can be set at any point in the sphere. For orientation, you can set Check box "sphere" - true. Click on the "Click→Input,Initial settings"-button and other starting points will be randomly set. Click the "Start"-button and wait for the iteration process to finish!