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.
I suppose that this material is the modern
replacement for what they used to teach
as `descriptive geometry'.