EX11
1.Construct
the portion of the cylinder x2 + y2 = 1 lying between the planes z = 0
and z = 1 + x.
2.Describe
how two pipes of the same size are joined perpendicularly.
3.Construct
two pipes joined as thus:
4.Describe
how three pipes are symmetrically joined.
5Wrap
the graph of y = cos 2x around a cylinder.
6.Wrap
the graph of y = cos 3x around a cylinder.
7.Construct
the graph of z = x^2 - y^2 above the unit circle.
8.Construct
the monkey's saddle given by z = x^3 - 3xy^2 above the unit circle.
9.Construct
this model:
10.Construct
this model:
11.Describe
how 8 identical pipes are joined together symmetrically.
12.Describe
how six identical pipes are joined together symmetrically.
13.Describe
how six identical pipes are joined together symmetrically.
14.Describe
how 4 identical pipes are joined together symmetrically.