Mathematical Experiment 15


Construct these Borromean rings.


Construct the "corkscrew" given by [cos(u)cos(v),sin(u)sin(v),sin(v)+u].


Construct the graph of the function f(u,v) = u2v4 as (u,v) ranges over the unit disk.


Construct Scherk's Fifth Surface given by
[arcsinh(u),arcsinh(v),arcsin(uv)]


Construct the pseudosphere given by
[cos(u)*sin(v),sin(u)*sin(v),cos(v)+log(tan(v/2))]


Construct the crosscap given by
[cos u sin(2v), sin u sin(2v), cos2v - cos2u sin2v]


Construct the Ennerper's Surface given by
[u - u3/3 + uv2, v - v3/3 + vu2, u2 - v2]


When a cube is rotating about its main diagonal, describe the region wiped out by the cube.