Calculation of a polyhedron when one of its vertices is fixed on a sphere.
- Roman Chijner
- Centroid or Barycenter, Equilateral Triangles, Optimization Problems, Geometry, Intersection, Linear Programming or Linear Optimization, Mathematics, Matrices, Means, Median Value, Plane Figures or Shapes, Planes, Polygons, Scalene Triangles, Solids or 3D Shapes, Special Points, Sphere, Surface, Geometric Transformations, Triangles, Vectors, Volume
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!