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“Mad” King Ludwig II may not have been good for Bavaria, but he certainly has been a boon to filmmakers. Such diverse directors as Luchino Visconti and Hans Jürgen Syberberg have considered the 19th-century monarch’s curious reign and its place in German history. Fosco and Donatello Dubini’s Ludwig 1881 is based on a single one of the king’s many whims: to see Schiller’s William Tell performed on the actual Swiss landscape where the story is set, a fancy that soon took precedence over such distractions as running the country. The Dubinis’ film is one of four in this weekend’s “Landscapes of the Soul” miniseries, which is linked to the National Gallery’s current show of 19th-century German painters. Also screening today is Arnold Böcklin, a biopic about the German artist that stresses his ambivalent notions of nature as represented in the painting The Isle of the Dead. The screenings begin today at 2 p.m. at the National Gallery of Art’s East Building Auditorium, 4th and Constitution Avenue NW. Free. (202) 842-6799. (Mark Jenkins)