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I assume you're talking about a network. On a token network, all of the computers wait to send data until they have the token. The token is a piece of data that travels around the network (picture all of the computers set up in a circle) giving each one a chance to send their data. After that computer has sent the data, the token moves on to the next. It prevents data collision on the network.
Advantages of token ring: A point to point digital simple engineering, standard twisted pair medium is economical and easy to install, easily detected and corrected in case of cable failure, short frames as no padding of data is required in frame, works best even with heavy load. Disadvantages are: Require a monitor function, substantial delay in cases of low load, can require more wire to run than a bus architecture.
You cannot answer this with a normal shape. Any shape given would have less an infinite sides. The exception to this would BE the shape with infinite sides and therefore by the same token, an infinite perimeter. So, the answer would be a "Fractal"