Torus-shaped links are used in chains that are intended for lifting, tugging, or securing (such as when used with a bicycle lock). These chains are flexible in two dimensions, with the chain's length acting as a fixed third dimension. An example of these types that is primarily decorative are little chains used as jewellery.

Those made to transfer power in machines have links made to fit the machine's sprockets' teeth and are only one-dimensionally flexible. Although there are non-roller chains like block chains, they are referred to be roller chains.