1. Design a polygonal mesh representing a rectangular solid. Use the traditional rectangular coordinate system to encode the vertices and draw a sketch representing your solution. 2. Using no more...

1.
Design a polygonal mesh representing a rectangular solid. Use the traditional rectangular coordinate system to encode the vertices and draw a sketch representing your solution.

2.
Using no more than eight triangular patches, design a polygonal mesh to approximate the

shape of a sphere with radius one. (With only eight patches, your mesh will be a very rough approximation of a sphere, but the goal is for you to display an understanding of what a polygonal mesh is rather than to produce a precise representation of a sphere.) Represent the vertices of your patches using the traditional rectangular coordinate system and draw a sketch of your mesh.