Looking at your Layers panel I can see that the 3 groups and the selected vector path has some kind of Appearance effect applied to it. This can be seen by the "filled circles" in the right side of the Layers panel.
You can try to select everything (or one object at a time) and do Object > Expand Appearance to clean up the drawing.
That way the applied ...
With the paths selected as in the image, click Path, Break Apart. If that doesn't split them into individual paths and objects, I'll be surprised, but you would then use the Ungroup option. Both (or more) paths will remain selected, but you'll see marquee boxes in more than one location after the break apart action.
I think this would be easier to draw manually with the Pen tool in Illustrator, or the Bézier tool in Inkscape. At least that way you can get a nice smooth curve. There's nothing automated that will beat the human eye, and a little skill.
All you need is a some practice. If you have a lot of these to do, then you'll get better each time.
Seriously: No automatic tracing can extract the one and only right path under your dot chain. That's because the tracing should know the mathematical criteria for the right path. You may know it but I can only make a guess. Especially ambiquous for automatic methods are the crossings. There's zero information of should it be X or ><. Another difficulty is ...
In Inkscape I would try this:
make a bitmap image out of your data points, and use https://github.com/fablabnbg/inkscape-centerline-trace - it may be necessary to blur the bitmap a bit in Gimp or another raster graphics editor, and then sharpen it again, for best results.
Edit: I blurred, sharpened, enlarged contrast, then turned it to black and white in ...
That's a tricky one. I'd know more how to align objects on a path in After Effect then Illustrator. The only thing I can think of would be to create a pattern. Window > Pattern Options.
I'd then select the pathern I'd wish to make, such as a red circle and select Make Pattern in the top right hamburger menu:
You could play with the settings on the Pattern ...
Must be something wrong with your AI settings or maybe there's some effect applied to the stroke. I tried this in my AI CS6 because it sounded strange and don't seem to replicate the issue, here's a 0.001pt stroked circle below. Try restoring your AI preferences.
It's not doing anything. As this post says, the M just means "move to 10, 10". There are no other commands, so it's not doing anything.
Looking at the page, it seems they're setting up the demo for future examples.
Select your shape and fill its interior with the Shape Builder tool. It creates a new object that can have a fill and a stroke. You can select them afterwards or just before clicking the interior of the O.
There's a few ways to achieve that, depending on your usage. Here's one way:
hit A and Alt-Click the inner line of the 'O'
Ctrl+F this takes the inside of the 'O' and creates a new object of the same shape and in the same position.
With this new object selected you can now choose a new fill color.
Create an empty RGB image with transparent background, have at least 1000 pixels high and wide canvas to avoid jagginess and blurrines. If you want to use the pen tool and draw paths, stop here. I do not know any practical way to do it. That's because you have in GIMP so limited vector tools. But you can draw it as a raster image. That creates other ...
Yes and no. You can make a bunch of segments where the ends happen to have the same coordinates as the ends of other segments. But you cannot have "a network of nodes", where nodes are connected to more than two other nodes.
You cannot have a gradient along the stroke (for exactly the length of the stroke) because there is no API to set this length (aka "...
I think it's the strokes butting up against the centre line, or protruding over it, that might be interfering with the reflection effect. Illustrator calculates the appearance transform effect from the edge of the artwork upto and including the edge of the stroke (i.e. not the path itself).
Here is one way to avoid the problem, although it takes a little ...