Is the image provided for a Cayley Diagram of $D_{4}$ in Wikimedia Commons wrong?
The image there seems to have the "outer ring" flipped:
Shouldn't this look more like this:
Is the image provided for a Cayley Diagram of $D_{4}$ in Wikimedia Commons wrong?
The image there seems to have the "outer ring" flipped:
Shouldn't this look more like this:
In the Wikipedia diagram, the red arrow corresponds to multipication by $a$ on the left; your diagram is making it correspond to multiplication by $a$ on the right. Both conventions are okay, but it is true that the convention of the diagram clashes with the convention of the text.