Chapter 25 is devoted to the Game of Life.
This wonderful book is crammed with fascinating facts and properties about every kind of number. Many of the properties are given a geometric interpretation, so there are plenty of marvelous diagrams. Even if you've come across the material before, this geometric and diagrammatic approach may give you a new perspective on things --- for example, I was particularly taken with the 'telegraph pole' representation of infinite ordinals in the last chapter. Many more weighty presentations tend to be short on diagrams. I think this is a pity: although 'proof by diagram' is rarely sound, and nearly always needs to be backed up by a symbolic proof, diagrams themselves can do much to help prime the intuition.
The sign of a good book: I was fascinated by what was there, and was left wanting more. Here's a brief overview of the contents, to give you a flavour of the breadth covered.