1863 - Full professor University of Bern

1868 - Corresponding member of the Istitudo Lombardo di Scienze e Lettere in Milan

1870 - Won the Jacob Steiner prize for his geometric works

1871 - Corresponding member of the Akademie der Wissenschafter in Gottingen

1883 - Corresponding member of the Accademia dei Lincei

While at Bern he was concerned with two major problems. The first in elimination theory and the other in "n" dimensional geometry. He brought his results together in two extensive works. Drawing on the works of Hesse, Jocobi and Cayley. Schlafli found the thirty-six "double sixes". Straight lines on a third-degree surface, the division of the cubicsurface into twenty-two species according to the nature of singularities. His posthumous manuscripts include ninety notebooks of Sanskrit and commentary on the Rig-Veda.

The ever popular, Schlafli Double Six is a visual representation of just one of the contributions made by Schlafli - One of the preeminent minds of the ages.