The Olympic rings are subject to very strict usage rules
Coupertin's initial hand-scrawled rings may have been a bit imperfect, but today the logo is highly regulated by the IOC, a body notorious for its militant enforcement of design and trademark rules.
In fact, there's a strict set of guidelines one must follow in order to reproduce them. For instance, the rings may only appear in the proper color sequence (from left to right: blue, black, and red across the top, with yellow and green on the bottom), and they may not be distorted or "enhanced" in any way. However, they may appear monochromatic, as long as they're featured in one of the five ring colors. They may only appear white if they're on a black background.
Also, host cities have to be extra careful about the emblems it designs to represent its games. That's because according to the code of conduct, the area covered by the rings (officially referred to as the "Olympic Symbol) "shall not exceed one third of the total area of the emblem." Good to know in case you one day become an Olympian and are itching to get a rings tattoo.