You have to have fully internalized those concepts already for that explanation to be useful. So it's good for people who already have a somewhat solid mathematical foundation and working knowledge.

For it to be useful to a layperson, you'll need to provide concrete examples and more of an explanation of each concept. Or, if you want to help people who are visual learners, something like a triangle.

> For example, reflecting the triangle and then rotating it 120 degrees reorders the vertices the same way as if you’d merely performed a different reflection.

With pictures, from the article.