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  2. List of cities in Germany by population - Wikipedia

    en.wikipedia.org/wiki/List_of_cities_in_Germany...

    The following table lists the 80 cities in Germany with a population of at least 100,000 each on 31 December 2021, as estimated by the Federal Statistical Office of Germany. [ 2] A city is displayed in bold if it is a state or federal capital, and in italics if it is the most populous city in the state. The table below contains the following ...

  3. List of cities and towns in Germany - Wikipedia

    en.wikipedia.org/wiki/List_of_cities_and_towns...

    General map of Germany. This is a complete list of the 2,056 cities and towns in Germany (as of 1 January 2024). [1] [2] There is no distinction between town and city in Germany; a Stadt is an independent municipality (see Municipalities of Germany) that has been given the right to use that title.

  4. Travelling salesman problem - Wikipedia

    en.wikipedia.org/wiki/Travelling_salesman_problem

    In the Euclidean TSP (see below), the distance between two cities is the Euclidean distance between the corresponding points. In the rectilinear TSP, the distance between two cities is the sum of the absolute values of the differences of their x- and y-coordinates. This metric is often called the Manhattan distance or city-block metric.

  5. Commuting - Wikipedia

    en.wikipedia.org/wiki/Commuting

    The modes of travel, time taken and distance traveled in commuting varies widely across the globe. Most people in least-developed countries continue to walk to work. The cheapest method of commuting after walking is usually by bicycle , so this is common in low-income countries but is also increasingly practised by people in wealthier countries ...

  6. Geography of Germany - Wikipedia

    en.wikipedia.org/wiki/Geography_of_Germany

    It lies mostly between latitudes 47° and 55° N (the tip of Sylt is just north of 55°), and longitudes 5° and 16° E. The territory covers 357,600 km 2 (138,070 sq mi), consisting of 349,250 km 2 (134,846 sq mi) of land and 8,350 km 2 (3,224 sq mi) of water. It is the seventh largest country by area in Europe and the 63rd largest in the world.

  7. List of Intercity-Express lines in Germany - Wikipedia

    en.wikipedia.org/wiki/List_of_Intercity-Express...

    Line 50 is the only east-west ICE line in central Germany. It begins in the east in Dresden and runs via Riesa to Leipzig. After Erfurt, the line runs on the new line. In the city of Frankfurt (Main), trains stop at the Hauptbahnhof (main station) and the airport and continue to Wiesbaden via Mainz.

  8. Great-circle distance - Wikipedia

    en.wikipedia.org/wiki/Great-circle_distance

    Two antipodal points, u and v are also shown. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path between the two points on the surface of the sphere. (By comparison, the shortest path passing ...

  9. Berlin–Hamburg Railway - Wikipedia

    en.wikipedia.org/wiki/Berlin–Hamburg_Railway

    Berlin–Hamburg Railway. The Berlin–Hamburg Railway ( German: Berlin-Hamburger Bahn) is a roughly 286 km (178 mi) long railway line for passenger, long-distance and goods trains. It was the first high-speed line upgraded in Germany to be capable of handling train speeds of over 200 km/h (120 mph) (up to 230 km/h).