When it comes to mathematics, paper isn't just for pen and pencil any more! Origami, the art and science of paper folding, can be used to explain concepts and solve problems in mathematics-and not just in the field of geometry. The origami activities collected here also relate to topics in calculus, abstract algebra, discrete mathematics, topology, and more.

Using origami, learn about:

• Solving Cubic Equations
• Bucky Balls and PHiZZ units
• Matrix models for folds
• Gaussian Curvature and much more!

These activities, which can enhance the classroom experience, also make great independent student projects and are perfect for math clubs or math circles.

• Activity 1 Folding Equilateral Triangles in a Square
• Activity 2 Dividing a Length into Equal Nths: Fujimoto Approximation
• Activity 3 Dividing a Length into Equal Nths Exactly
• Activity 4 Folding a Parabola
• Activity 5 Can Origami Trisect an Angle?
• Activity 6 Solving Cubic Equations
• Activity 7 Folding Strips into Knots
• Activity 8 Haga's "Origamics"
• Activity 9 Folding a Butterfly Bomb
• Activity 10 Business Card Modulars
• Activity 11 Five Intersecting Tetrahedra
• Activity 12 Making Origami Buckyballs
• Activity 13 Making Origami Tori
• Activity 14 Modular Menger Sponge
• Activity 15 Folding and Coloring a Crane
• Activity 16 Exploring Flat Vertex Folds
• Activity 17 Impossible Crease Patterns
• Activity 18 Folding a Square Twist
• Activity 19 Matrix Model of Flat Vertex Folds
• Activity 20 Matrix Model of 3D Vertex Folds
• Activity 21 Rigid folds 1: Gaussian Curvature
• Activity 22 Rigid folds 2: Spherical Trigonometry
• Appendix : Which activities go with which courses?