I'm trying to make the door coincident with the body for the default (doors closed) configuration. It keeps showing an error when I try to make them coincident. A parallel mate makes it look like I want it, but results in interference.
Yes, just move the pivot out the same amount of interference and you'll be fine
results in interference.
the coincident mate is also working - not sure why you got issue with it
The interference is from the way you model the parts, not because of the mating
This is what I'm mating that causes errors. Are you mating something else?
I haven't looked at your files but it sounds like the axis of the hinge is not aligned correctly with either of the faces you are trying to make coincident.
You need to move the hinge little out to resolve the issue
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