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A well-equipped beach
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One of the most authentic and oldest villages (1247) in the outskirts of Berlin, it looks the same way it did some hundred years ago. Take S-Bahn 1 to Waidmannslust and then bus 222 to Alt-Lübars.
A remarkable medium-sized classical castle by the famous K.F. Schinkel built 1820 to 1824, also called "Humboldtschlösschen", because Alexander and Wilhelm von Humboldt (and their family) lived here once. Still privately owned.
Paracelsus-Bad
25 m pool
Relaxing lake-side strolls on 'Greenwich Promenaid', a path named after Reinickendorf's twin town of Greenwich, London.
Not far away from Schloss Tegel (at the "große Malche") you can take a look at the oldest tree in Berlin, an oak which has been growing there since about 1192 (so it's actually older than Berlin itself). The name ("fat Mary") allegedly stems from the brother Humboldt who named the tree after their overweight cook.