User:Marty/UCSC Math 110 Fall 2008/Week 3

This week, we introduce the "domain topograph", loosely following the first chapter of Conway's book "The Sensual Quadratic Form".

In particular, we cover the following:
 * Two-dimensional Hop and Skip. We will enjoy the activity 2-dimensional Hop and Skip.
 * Systems of two linear Diophantine equations in two variables. Covers::State/Systems of two linear Diophantine equations
 * Lax vectors, bases, and superbases. Covers::Def/Lax vector, Covers::Def/Lax basis, Covers::Def/Lax superbasis.
 * Incidence among vectors, bases, superbases. Covers::State/Every primitive lax vector belongs to a lax basis.
 * The assembly and geometry of the "Domain Topograph". Covers::Def/Domain topograph