Transformations

Symmetry

• Concept of a symmetry
• Dihedral Groups using mirrors
• Tesselations by quads
• Tessellations etc by Escher
• Symmetries of the Cube and other solids

Polyhedra

• Rhombic Dodecahedron
• Dodecahedron as tent on cube faces
• Truncations
• Zomes

Affine and Barycentric Coordinates

• Do simple affine and observe the sum.
• Ceva from this

More triangle geometry

• Orthic triangle and relation between angle bisectors and altitudes
• Euler line
• 9-Point Circle
• 3 circle theorem

Square Root of -1

• Complex numbers