This is the first part of a series about symmetry in origami. Here I will explain what a symmetry group is through a series of examples.

This heart illustrates one of the most basic forms of symmetry. A symmetry is a *transformation* that preserves the shape and orientation of the object. In this case, the transformation is a reflection. If you reflect the heart across a vertical line, you get back the same heart. But with further examples, we can see that this is not the only kind of symmetry.