The market square that wasn't even a market square
In the old days, the arena was used for tournaments and became a market square only in the 16th century.
Taking a 360° view round, we see places of interest all around i.e. the Cranach House dated 16th century, the hotel Elephant, 17th- and 20th Century, the Neptune fountain from the 18th century as well as the town hall dating back to the 19th century. Indeed the Market square of Weimar bears witness to centuries.