  We report on figure-eight choreographic solutions to a system of three
identical particles interacting through a potential of Lennard-Jones type,
$1/r^{12}-1/r^6$ where $r$ is a distance between the particles. By numerical
search, we found there are a multitude of such solutions. A series of them are
close to a figure-eight solutions to a homogeneous system with no $1/r^{12}$
term in the potential. The rest are very different from them and have several
points with large curvatures in their figure-eight orbits, at which particles
are repelled. Here figure-eight choreographies are the periodic motion whose
shape is symmetric in both horizontal and vertical axis, starting with an
isosceles triangle configuration and going back to an isosceles triangle
configuration with opposite direction through Euler configuration. Thus the
lobe of this figure-eight may be complex shape and needs not to be convex.
