So, I've run across an issue when texture painting with blender. I've included images below, as I'm missing the correct terminology for the issue and will likely explain this rather poorly (my apologies!).

This may not be part of the issue, but when working in the compositing screen, If I clear the UV map, I end up with instead of a blank map, or a quad or two triangles, I have an odd ring of overlapping hexagons, in the panel where the UV map will be displayed. I'm gathering this is due to a complex model (it doesn't appear with a simple cube, and if my model consists of only triangles, then a triangle appears.

The issue arises when texture painting. I get streaks of the color I'm working with across the entirety of the map, crossing over portions that ought not be colored (at least not with that color).

Is this simply an issue with poor unwrapping on my part (it's an incredibly rough job), or perhaps due to something else? It's relatively fixable, but causes some small errors in the texture and generally makes it look poor. If I had to guess, the unwrapped parts of the mesh are positioned across the UV map, and when painting, it leaves a streak when moving to the other portion of it. In the meantime, I'll tinker with mapping a little more cleanly, and laying out the appropriate parts of the mesh nearer to each other, hopefully minimizing the issue.

I recognize that blender has fantastic documentation, but I've spent a good deal of time trying to suss out an explanation for this, and I'm coming up short. I'd appreciate any assistance, but also feel free to simply point me in the right direction, if needs be :)

Ah, they're not actually overlapped. I re-uv mapped the object and just drew over the old texture, which is why it may seem that way. In hindsight I should have uploaded a clearer image. I made certain the parts were all separated by a good margin. I was using the "smart-unwrap" option to keep unwrapping simple but I'm not sure if that counts as a projection unwrap. I was using texture paint to color it, so the actual shape of the the map for this exercise didn't seem terribly important. I'll take the time to unwrap it by hand and see how things look. Thanks for all the advice

Edit*

In hindsight, it looks like another issue is the masks I was creating and using in texture paint mode shared vertices with one another (where on mask met another). Fixing the masks to not share the vertices makes many of the streaks go away

Hm, after creating a clean unwrap, though rather simple, I'm definitely still getting terrible streaks when using texture painting mode. I followed your example as close as possible, and used angle-based method when unwrapping.

I'm wondering if something else, other than unwrapping is causing the issue, or if it's just a problem with using texture paint mode.

The gray color in the image below is from just using fill color on a blank texture, and the blue is when brushing. You can see where the streaks go, they don't appear to be the same streaks for the different tools, which causes me to scratch my head a little.

I've added the blank UV map as well, for reference.

Edit*

Bleh, not sure where, but I must have had some bad vertices/faces/edges in there somewhere (that weren't showing up when non-manifold vertices were highlighted). I remade the model and the problem has gone away entirely.

Super-beginner with modeling. But, as a general tendency, I usually to try to learn things too fast, then look silly and/or dumb when there are really basic things I didn't pick up or learn correctly the first time through It's a terrible process I've been trying, yet ultimately failing, to fix :P

Sadly, the clean-up option was not fixing them. By bad, I just mean overlapping somewhere, I think. And you're certainly right about the poly-density. I think that's actually where the issue is arising from. I subdivided the "clothing" a bit more than the "skin" of the texture, to give it a bit more wrinkles and such (whereas the skin is relatively smooth throughout), and it seems like it created problems where the two meet (or don't quite meet, since subdividing). The issues exist where the varying levels meet, and the extra vertices that were subdivided sometimes ended up overlapping or being overlapped the the portion of the model that didn't get subdivided. When I remade the model, I kept it consistent throughout to avoid that, and I'm guessing that is what avoided problems.

For future reference, would having varying polygon densities still create problems, if I were to go through and merge any floating vertices/edges that are created between the varying portions? I suppose this is something I could easily test, but I'm wondering if it creates other problems I'm unaware of.

That's good to know. Thank you for the advice :)