  In this paper we examine numerically the properties, especially the scaling
properties, of an isolated crescent singularity similar to that of a
developable cone. The desired isolated crescent region is produced by applying
six potential forces to an elastic sheet in a controlled way, for which no
central pushing force is required. Two types of length scales of the crescent
are identified and shown to scale differently with the thickness and the
separation of potentials. It is found that in one direction, the width of the
crescent scales with both thickness and separation to the 1/2 power. In the
other direction, the radius of curvature of the crescent scales with thickness
to the 1/3 power and separation to the 2/3 power, in agreement with previous
observation for the crescent size of a developable cone. We expect our findings
of the double features of the crescent singularity to have importance in
understanding the puzzling scaling behavior of the crescent.
