Limiting branches from any node in a free-form triangulation

Grasshopper
1

Hi all, having an issue with the attached definition. I have a series of lines based on a random point cloud which I’m interconnecting with bezier curves. I’m drawing connecting lines between every pair of originating lines and then sorting them by distance, so that I can select only the 3 shortest lines in the set while excluding the lines of 0 length, and then making beziers from these, with the originating lines serving as tangent vectors. My goal is to ensure that a maximum of 3 beziers can be drawn out of either end of any originating line (nodes). My current definition is close, but currently some nodes have 4 branches while the neighbouring node has one or two, so I suspect that choosing the 3 shortest lines in the set may not be the best way to achieve my goal. Any ideas?

directional%20connectivity
directional%20connectivity1529×653 128 KB

directional connectivity.gh (16.3 KB)

2

Looking at it, each node does have only three branches exiting - additional branches are incoming from other nodes having three branches… no? So, deleting a fourth branch would potentially decrease another nodes branches to two… tricky.

3

That’s exactly right, maybe there is a way to measure the number of branches exiting a node and if it is three, then the branch incoming would be “rerouted” to a node with 2 or fewer exiting branches. I’ve tried something like this by measuring coincident points with the different cull duplicate components, but the data trees always end up becoming mismatched.