How far are you from Position 0,0,0? Sometimes floating point error will affect this if you are quite a distance away.
Also, just because your Properties window only shows .001 studs as the minimum increment you can manually change the value to .0001 to shift the item. This is also helpful to align your main ‘origin’ Part on your model because if it’s located at 50.0003, 19.9998, 25.0004 it’ll throw off everything attached to it by that much as well, especially if the Orientation is off as well!
I’ve placed a model hundreds of studs from 0,0,0 and reset it’s position’s and orientation’s X, Y, & Z decimal values to (whatever number).000000 and sometimes it helps.
Re. Floating Point Errors, the route I take personally to alleviate the problem is I always build in a separate place to their context.
Since this part of the map is diagonal, it’s not only harder to spot these but they occur more frequently, especially being far from center.
If you build in another place, on a 0* rotation, in the center, you’ll have the best odds. Then when I’m done, I just drag it onto the placeholder spot and it’ll go all nicely.
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Wow, that’s effectively a smart way of building!