Neuchatel is a beautiful little town in Switzerland situated on Lake Neuchatel, but it is a city. It was an anachronistic holdover from the middle ages well into the 19th century. It's feudal past almost brought newly founded Switzerland and the Kingdom of Prussia to declare war on each other in the middle of the 19th century. Today, it has a university and is a center for tourists visiting the beautiful lakeside countryside and the Jura Mountains.
Swiss national hero William (Wilhelm) Tell might be one of the best known national heroes in the world. His famous shot at an apple placed on his son’s head inspired writers and composers from different countries. Operas, poems, dramas, books, and comics have been produced in several languages. It's Batman and Robin with crossbow and arrow.
The German town of Baden-Baden acquired its name officially in 1931 with a formal decision of the town's council. Before that, it was simply called Baden and was the capital of the Grand Duchy of Baden until 1918. Baden was a bathing spa in Roman times and was known as Aquae like Bath in England. Aquae in Latin and Bath in English have the same meaning as Baden in German. How did Baden end up with the weird tautology of being called Baden-Baden?
The Principality of Liechtenstein is sandwiched between Austria and Switzerland. It is a hereditary principality with political powers shared equally between the elected parliament and the prince. Nobody knows what happens if ever they should agree to disagree because there is no proviso for a resolution process. The prince is also head of state.