OK, with a bit more Googling and Google-translating (and with bobbyhelmet's information) I turned up the following:
The Gropius Brothers Diorama opened in Berlin in 1828 (which was at the time in the German state of Prussia) and closed in 1850. The admission price was 10 silbergroschen, so possession of this token presumably let you in to the Christmas show for half price. The Christmas shows were apparently especially popular - maybe at least in part because of advertising gimmicks like these tokens.
A "diorama" was a very early form of picture theatre, in which large silkscreen paintings of beautiful or spectacular scenes were slowly scrolled past an audience, with skilful use of lighting and shadow creating the illusion of movement and other "special effects". The light source was the Sun, so it only ran during the daytime and presumably visitors on cloudy days got a much more subdued experience. It all sounds pretty lame now in our age of 3D-interactive virtual worlds, but 200 years ago the diorama was the most thrilling show in town.
A quick note on the currency system in Prussia at the time: there were 30 silbergroschen to a thaler, which was a large silver coin worth about 2/3 of a US silver dollar. So this token originally had a face value equivalent to about 11 cents.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis