> I'm not sure about whether a stem is a good idea or not, either.

The stem is a great idea IMO. It's particularly important for arcs, where
you don't have the controls beziers provide.

There's numerous special cases to consider - particularly joining a curved
line to a polygon with non horizontal/vertical surfaces - but even if only
the basic cases work at first this is a major improvement over how it is
now.

Tom

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