Edge Continuity Radius Value

[DavidMans]

Thanks Peter,
Between this sample and a post by @DanielPiker

Calculate mean curvature from osculating circles compared to surface curvature component

Curvature-gaussian-mean.gh (60.2 KB) Hi Was just reading up on principle curvature and curvature measuring on wikipedia to understand the concepts better: https://en.wikipedia.org/wiki/Principal_curvature Tried to make a simple test (attached) where the mean and gaussian curvatures are calculated from the osculating circles instead of using the surface curvature component. I was wondering if anybody here can explain why the mean curvature I get from the ‘surface curvature component’ differs …

I was able to match the absolute curvature deviation from the EdgeDiscontinuity command as described here

EdgeContinuity | Rhino 3-D modeling

By extracting the principal curvature from the osculating circles and converting it into a Radius value that aligns with the commands results.

Then using
|(1/Radius1)-(1/Radius2)|
to get the absolute deviation.

I am still hung up on getting the relative value using the formula
(Radius1-Radius2)/(Radius1+Radius2)
as the results do not match what EdgeContinuity command is returning.

I am sure I am doing something wrong in the process and any guidance would be appreciated.