# Isometries of the Plane, Euclidean space $R^3$ and isometries of the Platonic polyhedra.

I want to study the isometries of plane, Euclidean space, and the platonic polyhedra. I am new to this topics. Can any one suggest books that contain these topic with details and basic explanation through algebraic approach.

It even deals with $$\mathbb{R}^4$$ and beyond.