Patch workspace rotate seems to ignore chosen axis
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I am trying to create a simple surface by rotating a line segment around another line. The line segment I am rotating points straight at the origin, and the axis line lies in the YZ plane. The rotate should therefore create a ring that is part of a cone, around that axis. But when I try it, using Rotate in the Patch workspace, I get all sorts of odd behavior. Here is what most commonly happens: the ring is created around some other invisible axis. I have one screenshot taken to show the ring from its actual axis (you can see that it's symmetrical in the view), but the selected rotation axis is shown in blue, obviously unrelated to the axis actually used to create that ring. I also lined up another screenshot as close as I could on the selected axis, and you can see how unrelated the ring is to that axis.
The blue line is the selected axis
View looking down the selected axis
You can see the mirrored surface to the one whose edge I am attempting to rotate; if this rotate action were actually rotating around the selected axis, that ring would pass through the mirror image edge.
Furthermore, the behavior is inconsistent. I first tried doing this rotated around a different line - one that passed through the origin. When I did this, it sometimes did something almost identical to what's shown here. And it sometimes appeared to do exactly what I expected it to, previewing a conical ring around the axis I actually selected. But when I clicked okay when it was previewing correctly, it would sometimes establish that off-axis ring similar to the pics above. And other times it would magically switch to a completely different axis - either using the Y axis, or using an invisible axis parallel to the Y axis but above it in the YZ plane, right between the two mirrored lines, creating a tiny little ring joining the two mirrored wings. I saw no rhyme or reason to this behavior.
If I went back to edit one of these very confusingly created rings, it would claim that there were two selected profiles (though there was only the one when I clicked OK) and an axis, but the axis would not be shown. Also, when entering the Rotate dialog to edit the feature, it seems to randomly choose whether to check the "Chain" checkbox, even though I have always unchecked it.
I tried this over and over again, sometimes editing, sometimes deleting the feature and starting over, and still got this bizarre array of behaviors. I closed the program and restarted to make sure it wasn't a strange temporary glitch. I switched to a new axis as shown above to try to see if it simply couldn't handle an axis and the selected line both being along rays from the origin for some reason, but it still doesn't seem to pay attention to the selected axis.
I'm very confused.