/sci/ - Science & Math

Is there a method of analyzing geometry in the way i'm about to describe?

say you reduce a circle to 100 nodules, or even pixels. Many of these square pixels will vary in how many neighboring pixels they have. so say the average each has is like, 3.3/4. Is there a way to calculate this? and for various shapes? Say, various flat shapes which are also composed of 100 pixels.

I was thinking of some mesh like analysis on some CADs or something, there's gotta be a better way though. I would like to quantify the relationship between wall contact and shape for a project, I'm not sure where to start though with this