I am stuck with following problem, could anyone help me?
(1) Can a finite 2D figure with a nontrivial rotational symmetry can have exactly one reflection symmetry?
thanks
symmetry
I am stuck with following problem, could anyone help me?
(1) Can a finite 2D figure with a nontrivial rotational symmetry can have exactly one reflection symmetry?
thanks
Best Answer
Let $R_1$ be a nontrivial rotation that preserves the figure. Let $\phi_1$ be a reflection that preserves the figure.
What is $(\phi_1 R_1)^{-1}$?