Mathematics 308 - Fall 1997 - Euclidean geometry

Fall term

Section 101

1:30-2:30 M W F

Buchanan A205

In the course this fall, as in previous years, I will show how mathematics and computers can be used together to produce graphics of mathematical interest. The primary programming language to be used is PostScript. It is ideal for this purpose because its imaging model uses affine geometry in a crucial manner. Towards the end of the course, elementary 3D graphics including perspective, and perhaps something about the regular solids, will be discussed. New this year: I will also allow work in Java, and will arrange weekly tutorials for those interested in it.

Towards the end of the term, students will have to propose and carry out their own projects. You can even look at a previous year's projects.

Students will be given accounts in the Mathematics Department undergraduate computer laboratory, and will also be able to run GhostScript or GhostView on PC-compatible machines or Macintoshes elsewhere. The documentation below is in both PostScript and PDF formats. For reading PostScript you can use GhostView & GhostScript if you do not have another PostScript file browser. For PDF files Acrobat Reader is available from Adobe.

We have PostScript help on our local help facility If you would like to know something that isn't there, ask about it.

Course notes

Chapter 1 - An informal introduction to PostScript

Chapter 2 - Elementary coordinate geometry

Chapter 3 - Evolution of a simple program

Sample PostScript

A pentagon:
the file
the picture

A rotated square:
the file
the picture

A program of two pages:
the file
the picture


First homework

Second homework

Java notes

Other course material

Pythagoras' Theorem


Area and angles on the sphere