This version is aimed at the more traditional mosaic / tessellation look from your examples. Instead of just recursively splitting cells, it can generate style families that more closely resemble classic mosaic patterns: organic polygons, triangles, honeycombs, and trapezoids / quads.
If you select more than one shape family, the generator mixes them in separate style zones so one design can contain multiple mosaic looks. The output remains a proper line drawing suitable for LightBurn, with deduplicated shared edges to avoid double-cutting. The honeycomb family now uses a jittered hex-seed Voronoi layout, which keeps the cells connected cleanly while making them more irregular and random instead of perfectly uniform hexagons.