These exercises are not terribly difficult, but they should give you some idea of the range of problems that occur when trying to explain mathematical ideas in pictures: a mixture of elementary geometry and occasionally interesting programming problems, as well as intellectual difficulties involved in mathematical concepts. At first, you might feel that the elementary geometry is an undignified pursuit for a 21st century mathematician, but as with any other language you will get better at it with practice, and as you get better you will enjoy it more.

This material is the modern replacement for what they used to teach as `descriptive geometry'. When they build the Mathematisches Institut in Göttingen in 1928, they had a large Zeichensaal on the ground floor reserved for such course work. Drawing was, and is, important.