Sometimes called rotation symmetry, or symmetry of rotation. If you have an object that can be turned through a certain angle (like rotating a cube through 90o) and then it looks identical, then that object has a certain symmetry under rotation. If you can turn it through any angle, like a cylinder, then it has rotation (or rotational) symmetry.
Chat with our AI personalities
rotation symmetry of a parallelogram Sequence
2
A regular Undegon (11 sided polygon) has 11 lines of symmetry. It also has an order of rotation symmetry of 11.
The Japanese flag has four lines of symmetry. Two of them are a horizontal line halfway up the flag, and a vertical one halfway across the width. It also has two rotation lines of symmetry across the diagonals.
Oh, dude, an oval has an infinite number of lines of symmetry, so technically it has infinite rotational symmetry. But like, who's really gonna sit there and rotate an oval forever just to prove a point, right? So, yeah, infinite rotational symmetry for the win!