Johann Benedict Listing born July 25, 1808, died December 24, 1882 was a German mathematician, born in Frankfurt, Germany, and died in Göttingen, Germany. July 25 is the 206th day (207th in leap years) of the year in the Gregorian calendar, with 159 days remaining. ... 1808 was a leap year starting on Friday (see link for calendar). ... December 24 is the 358th day of the year in the Gregorian Calendar (359th in leap years). ... 1882 (MDCCCLXXXII) was a common year starting on Sunday (see link for calendar) of the Gregorian calendar or a common year starting on Tuesday of the 12-day slower Julian calendar. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... Main Station Frankfurt Frankfurt International Airport For other uses, see Frankfurt (disambiguation). ... Göttingen ( ) is a city in Lower Saxony, Germany. ...

In 1847, he wrote a famous article on Topology, although he had introduced the term in correspondence some years earlier. He (independently) discovered the properties of the half-twisted strip that now bears Möbius' name at the same time as Möbius, and went further in exploring the properties of strips with higher-order twists (paradromic rings). A Möbius strip, a surface with only one side and one edge; such shapes are an object of study in topology. ... A Möbius strip made with a piece of paper and tape. ... August Ferdinand Möbius (pronounced , November 17, 1790 - September 26, 1868) was a German mathematician and theoretical astronomer. ...

External links

• O'Connor, John J., and Edmund F. Robertson. "Johann Benedict Listing". MacTutor History of Mathematics archive.
• A reprint of (part of) his famous 1847 article introducing Topology, published in Vorstudien zur Topologie, Vandenhoeck und Ruprecht, Göttingen, pp. 67, 1848.