Mathematical Experiment 13


Construct a sphere with four symmetrically located circles of the same size removed.


Construct a sphere with eight symmetrically located circles of the same size removed.


Construct a sphere with six symmetrically located circles of the same size removed.


Construct any four mutually tangent spheres of different sizes.


Construct the cyclide by inverting a torus.


Construct the image of the Cartesian grid lines under the stereographic projection



Construct three orthogonal surfaces consisting of an ellipsoid, hyperboloids of one sheet, and hyperboloids of two sheets.
The surfaces satisfy the equations of the form