assignments
due Fri Feb 12
Assignment 1
From Stillwell: 1.2.2, 1.3.6, 1.4.3, 1.4.4, 1.5.1.
due Fri Mar 12
Assignment 2
- From Stillwell: 2.32, 2.33, 5.1.1, 5.2.1, 5.2.2.
- Find pictures of three non-regular solids. Does the formula V+F = E+2 hold? If not, which part of the statement of the theorem is not satisfied.
- Find three pictures, one with complex frontal perspecitve, one with oblique, and one with axial.
Quiz 1
Assignment 3
For each of the following, either explain why it is not a valid word or use the algorithm we developed in class to classify its associated surface:
- abcab
- abcb − 1a − 1c − 1
- abc − 1d − 1ef − 1fe − 1dcb − 1a − 1
- abcdc − 1b − 1d − 1aefe − 1f − 1
Prove that bXaWb − 1Va − 1U≅ded − 1e − 1XUVW
. (Or, prove something else equally good for the algorithm; that is, "pull out" a torus and leave some combination of the other sides.)