Week 7

I continued to explore Rigidity of Circle Packings for the case where at least 1 pair of circles intersect at angles greater than 90 degrees and less than 180 degrees. The issue with this case is that the inversive distances can be negative, thus the triangle inequality may not hold for all possible radii. I tried to pivot to find counter examples for this case using computational methods, but the issue is that I have assert equality between the discrete curvatures of the two circle packings, which is hard to check computationally. I tried to find a way to check if two circle packings have the same discrete curvatures, but I was unable to do so, because the equations for the discrete curvatures are not easy to compute.