Symmetries (Isometries) in the plane compared to those
in space- an introduction: Symmetries of the Platonic Solids: Consider the
Tetrahedron and the Octohedron
Rotations: Center point(in the plane) -
central axis ( in space)
Reflection : across line (in the plane)
- across plane (in space)
Symmetries of the cube:
Rotations
reflections
rotation- reflection
More on The regular and semiregular polyhedra: Check this site! from Visual geometry pages.
Isometries in space: products of reflections
in space: