These two pictures depict (from right to left)
the r coordinate versus theta coordinate and the curvature function versus theta. Note that both of these images are taken at
the last iteration, which was 9000 in this case. The grid size was 5, exceedingly coarse and the courant factor was 0.01.

The three snapshots above depict the evolution of the curvature of the black hole spacetime with theta. The first picture, ah_initial, is the starting step. ah_instable shows a later evolution step during at which an instability is evident.
The last step (6546 iterations) is shown in ah_end.
Note that the grid spacing was 5, an exceedingly coarse resolution and the the courant factor was 0.01

The following snapshots are from a coarse (5) grid at courant factor 0.5.

This picture is the value of the curvature (kappa) at every point at the first iteration step plotted versus theta.

The pictures below depict, left, kappa versus theta at the last time step with average value near 10^-10;
and right, x versus y at this slice of phiat the last time step.

Note that only one apparent horizon is indicated in sliceBH; therefore, at this
coarse grid the algorithm has been unable to find two apparent horizons.

The following snapshots are for a grid of 17, a courant factor of 0.5 and a maximum iteration
of 7383. The average curvature value in these pictures is around 10^-8.

This image is a slice along the symmetry axis at the last step. It shows that no indication of two apparent horizons yet exists at kappa=10^-8.

This image plots kappa versus theta at the last time step.
The shape indicates that kappa is not constant over the surface, however the discrepancy is small.

The picture below looks at this discrepancy. This is a plot of the infinity norm of the difference
of two steps. You can see that the change between steps is decreasing.