Got a set of 4 quarters (15 LEDs each) of a circle of WS2812 (did not see any WS2812B at the time) LEDs off fleaBay and wanted a circular frame to hold them together. I whipped this up from scratch in OpenSCAD because I know just enough to fumble my way to somewhat working code. I cut out a square space at the back so that they can be soldered up without it interfering with them sitting flat. I have created a clock face and I'm controlling the LEDs with an Arduino Nano, but getting them into a circular ring was the first step, and may be all you need.
The more complete CLOCK is here: https://www.thingiverse.com/thing:3137687 (ongoing project)
Smaller printers won't be able to print the entire track as a complete circle, so there are 2 options, halves and quarters that snap together like basic puzzle pieces. I may work on a slightly more elaborate way of them connecting for a tiny improvement of the look, but I have a printer that prints the whole circle, so it's not a high priority.
This thing should be pretty customizable, I don't know if you can use it for other sizes of LED rings less than 60, however, I can safely say that if you have the same product from a different factory and you need to make minor adjustments to make it fit, you will be able to customize it perfectly. I had to adjust the diameter to a half millimetre to get the curve correct so they fit in with no gap between the circuits. It turns out that the section connections added that half millimeter to the diameter, so I have corrected the full track to be the correct diameter since I had only tested the fit of the 2-part track. The diffuser STL has been replaced to match the change. I'm still pretty new to OpenSCAD, so there are quite a few inefficiencies and blunders that may get corrected if I have the time or donations (which allows for more time and provides motivation).
Small addendum: a quarter section with a bigger wiring hole to be used as a tool for good alignment when soldering them together so you don't end up melting the track trying to assemble it and solder them in place. I have updated the .scad file as well, so it is generated from the same code; it should align with the other parts if you change the size in customizer.
Another addition: from the clock second step, I decided to generate the light diffuser into something you could use directly with this track. It won't fit the full clock, so only use it if you aren't planning on using the full clock or you'll be printing out again with a slight change to have it fit the clock. This diffuser STL is to be used with the just track STL found here and circuit of course.
Edit: SCAD file UPDATE: you can now generate the complete clock with the track found here as a starting point. If you do, please be sure to change the diffuser connecting part to the clock instead of the track, currently the default for this customizer is to produce a diffuser that connects to the track as found in the STL. You have been warned.
adjusted the full track size to be correct. old size fit but not excellent.
still to do: test and adjust the 4-section track for it's proper diameter.