← Back to Gallery

Schläfli Symbol

{ , }
Curvature Regime
Spherical (K > 0)

Schläfli Symbol Explorer

The Schläfli symbol {p, q} describes a regular polytope where each face is a regular p-gon and q faces meet at each vertex.

Defect: (1/p + 1/q - 1/2) determines curvature

K > 0: Spherical (finite polyhedra) | K = 0: Euclidean (tilings) | K < 0: Hyperbolic

Vertices
-
Edges
-
Faces
-