Møgeltønder is known for the royal residence of Schackenborg Castle the home of the Danish Queen Margrethe II and Prince Henrik's younger son Prince Joachim.
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Møgeltønder Church is one of the largest village churches in the southern Jutland and has a rich interior e.g. a painting of the Golden Horns of Gallehus discovered at Gallehus just north of the town.
The 1:20 scale Lego brick models feature landscapes, sights and buildings from all over Denmark as well as famous landmarks from other parts of the world, these include from Denmark: Amalienborg Castle, Nyhavn, Skagen, Klampenborg Station, Ribe, Billund Airport, Dybbøl Mill, Møgeltønder, Lilleby (a fictional Danish village).