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In many cases where you need to brake/split several nodes it would be easier to have a right click menu which split/brake all selected nodes at once, instead of moving over with the pen tool and clicking on each node.
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Erase Floating Nodes is essential where the “Remove Overlap” filter cannot be used.
I usually reconnect nodes again with the top + right node and bottom + left node.
Splitting or Braking several nodes NOT reconnecting (The requested function is not particularly needed for the case shown in uploaded image)
A similar function is available in Adobe Illustrator.
- But don’t you try to build a crossed path?
- did you try Path menu > Tidy up Paths?
Tidy-up paths pretty works as the concerned “deleting floating nodes”
Thanks