In geometry, the Schläfli symbol is a notation of the form { p , q , r , . . . } {\displaystyle \{p,q,r,...\}} that defines regular polytopes and tessellations.
The Schläfli symbol is named after the 19th-century Swiss mathematician Ludwig Schläfli,: 143 who generalized Euclidean geometry to more than three dimensions and discovered all their convex regular polytopes, including the six that occur in four dimensions.