Which Olympic symbol gets redesigned to represent the host country?

A modern invention inspired by practices from ancient Greece, the Olympic Torch Relay heralds the start of the Olympic Games and transmits a message of peace and friendship along its route. First used at the 1936 Berlin Summer Olympics, the modern torches of the Summer and Winter Olympics are built to resist the effects of wind and rain as they carry the Olympic flame, and bear unique designs that represent the host country and the spirit of the Games.

Source: Olympics