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MSRI Summer School on Mathematical Graphics
PostScript Exercises II.
Unless specified otherwise, set units to be inches, figures roughly in the center of a page. Or use bounding boxes.
Part 1.
1. Define an asin function. (Whenever you are asked to define a procedure, your solution should come in two
halves, one defining things and the other demonstrating how it works. In this case, you can do this by displaying
the return value in a terminal window using .)
2. Write a program that first defines two more or less arbitrary vectors and (i.e. two arrays of two numbers)
and then exhibits the lattice of all by showing a lot of small disks on the page. To start with, set and
.
3. Define a procedure that constructs (but does not draw) a circle, centred at the origin, as a union of Bezier
curves, with the radius as single argument. Do this by looking at the standard parametrization of the circle.
4. Write a short TEX document (plain or La-) that incorporates one of the (single-page) diagrams you drew in
Assignment 1. Add a bounding box to it first. Make a PostScript file out of it.
Part 2.
5. Define a procedure with two arguments, an array of two numbers and another number, say , that
returns the array rotated by degrees.
6. Write a program to produce your own graph paper - 1 mm. separation for small light gray lines, 1 cm. for
dark ones. Filling the page, with the origin at dead page center.