Is there is any type of centre (of polygon) which always lies inside the polygon (with no hole)?
Note: Here our polygon may be any type of polygon (convex or concave) but not self intersecting.
2026-03-28 08:10:28.1774685428
Polygon center which always lies inside the polygon (with no hole)
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A polygon doesn't have to have a hole to be an awkward shape. Snaky branching forms, including spirals, will be awkward, and it's easy to have a polygon that has a large "central" void:
... and that one's simple compared to something more like a tree.
It strikes me that perhaps you could define a "minimum-path" centre, that point with the shortest maximum path length to any point in the the polygon given a path that is entirely inside the polygon.
Here's an interesting paper on efficiently finding paths in these kind of polygons.