Mathematics 2C

Tuesday 20. April 2010
Auditorium M1.80

Program

09:00-10:20

Lecture on section 2.7 in Lay, Applications to Computer Graphics.

10:20-10:45

Introduction to the exercises.

10:45-12:30

Exercises in groups.

Exercises

Lay section 2.2 page 143

Exercise no. 31

Lay section 2.3 page 148

Exercise no. 3, 33.

The article The Fire Tower

Exercise F2

Remark

You can download a MATLAB implementation of The Fire Tower at the following link: firetower. In order to run the program you must also download the file cube. The program is an illustration of the article. It is meant to be a help for your studies. It is not mandatory that you can explain what is going on in the program.

In the article there is a formula for the height of a twelve cube tower on page 49. Here a summation formula is used at the last equality sign. The note sum explains this summation formula.

The MATLAB file N illustrates how one can transform a wire-frame model of the letter N. A complicated example of a 3D wire-frame model can be found at http://www.davidson.edu/math/chartier/Starwars.