- #1

MathematicalPhysicist

Gold Member

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Now every isometry in the plane is one of the four:

1.translation.

2.rotation.

3.reflection.

4.glide.

now obviously refelction is itself.

now for translation i showed with a picture that we need only two reflections.

for rotation we need something like 3 reflections, and also for glide, which answers another question is it possible for glide to be a composition of just two reflection, i don't think so, but don't see how to show this.

Is any of what i wrote make sense?

thanks in advance.