1. How to Count Pizza Pieces
1.1. The Pizza-Cutter's Problem
1.7. Euler's Formula for Plane Graphs
1.10. Notes and References
2. Count on Pick's Formula
2.1. The Orchard and the Dollar
2.2. The Area of the Orchard
2.3. Twenty-nine Ways to Change a Dollar
2.4. Lattice Polygons and Pick's Formula
2.6. Pick's Formula: First Proof
2.7. Pick's Formula: Second Proof
2.8. Batting Averages and Lattice Points
2.9. Three Dimensions and N-largements
2.10. Notes and References
3. How to Guard an Art Gallery
3.1. The Sunflower Art Gallery
3.2. Art Gallery Problems
3.3. The Art Gallery Theorem
3.4. Colorful Consequences
3.5. Triangular and Chromatic Assumptions
3.6. Modern Art Galleries
3.7. Art Gallery Sketches
3.8. Right-Angled Art Galleries
3.10. Three Dimensions and the Octoplex
3.11. Notes and References
4. Pixels, Lines, and Leap Years
4.4. Bresenham's Algorithm
4.5. A Touch of Gray: Antialiasing
4.6. Leap Years and Line Drawing
4.7. Diophantine Approximations
4.8. Notes and References
5. Measure Water with a Vengeance
5.1. Simon Says: Measure Water
5.2. A Recipe for Bruce Willis
5.3. Skew Billiard Tables
5.5. How to Measure Water: An Algorithm
5.6. Arithmetic Arrays: Climb the Staircase
5.7. Other Problems to Pour Over
5.8. Number Theory and Fermat's Congruence
5.9. Notes and References
6. From Stamps to Sylver Coins
6.2. Addition Tables and Symmetry
6.3. Arithmetic Arrays and Sylvester's Formula
6.4. Beyond Sylvester: The Stamp Theorem
6.7. McNuggets and Coin Exchanges
6.9. Notes and References
7. Primes and Squares: Quadratic Residues
7.2. Quadratic Residues Are Squares
7.3. Errors: Detection and Correction
7.4. Multiplication Tables, Legendre, and Euler
7.6. Marcia and Greg Flip a Coin
7.7. Round Up at the Gauss Corral
7.8. It's the Law: Quadratic Reciprocity
7.9. Notes and References
