Bezigon Tool
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@boldline @vectorstyler : https://youtu.be/w3ieED1z4gM - Here's the full breakdown.

The basic secret to the correct implementation is simple.
Every segment's handle is 39% of the segment length on either side, and every handle point points straight at the previous node until the next node is placed. In other words, every handle lies on the chord between two nodes until the next node is placed. That is the secret to Bezigon. At the moment, VectorStyler's implementation does not follow this logic, hence the awkward shapes it builds.

The loss in curvature becomes exponentially worse as the distance between the nodes grow.