Topics:

• Circles and Spheres

• Coloring

• Compass and Straightedge

• Combinatorial Geometry

• Covering and Packing

• Dissection

• Fractals

• Geometric Models

• Geometric Topology

• Hyperbolic Geometry

• Knot Theory

• Lattice Theory and Geometry of Numbers

• Nearest Neighbors and Voronoi Diagrams

• Origami

• Pentagonal Geometry and the Golden Ratio

• Polyhedra and Polytopes

• Randomness and Geometric Probability

• Rectilinear Geometry

• Spirals

• Symmetry and Group Theory

• Tiling

• Triangles and Simplices

• Width, Diameter, and Geometric Inequalities

• Planar Geometry

• Three-dimensional Geometry

• Many-dimensional Geometry

• Open Problems

• Lesson Plans and Teaching Materials

• Software and Animations

• Miscellanous