In geometry, orbifold notation (or orbifold signature) is a system, invented by the mathematician William Thurston and promoted by John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature. The advantage of the notation is that it describes these groups in a way which indicates many of the groups' properties: in particular, it follows William Thurston in describing the orbifold obtained by taking the quotient of Euclidean space by the group under consideration.
Nice (niːs , nis; Niçard: Niça, classical norm, or Nissa, nonstandard, ˈnisa; Nizza ˈnittsa; Nissa; Νίκαια; Nicaea) is a city in and the prefecture of the Alpes-Maritimes department in France. The Nice agglomeration extends far beyond the administrative city limits, with a population of nearly 1 million on an area of . Located on the French Riviera, the southeastern coast of France on the Mediterranean Sea, at the foot of the French Alps, Nice is the second-largest French city on the Mediterranean coast and second-largest city in the Provence-Alpes-Côte d'Azur region after Marseille.
The County of Nice (Comté de Nice / Pays Niçois; Contea di Nizza / Paese Nizzardo; Niçard Contèa de Niça / País Niçard) is a historical region of France located around the southeastern city of Nice and roughly equivalent to the modern arrondissement of Nice. Its territory lies between the Mediterranean Sea (Côte d'Azur), Var River and the southernmost crest of the Alps. Ligurian tribes populated the County of Nice prior to its occupation by the Romans.