§@·~11

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.
5.Wrap 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 = x2 - y2 above the unit circle.
8.Construct the monkey's saddle given by z = x3 - 3xy2 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 12 identical pipes are joined together symmetrically.
14.Describe how 4 identical pipes are joined together symmetrically.