I have no idea how doable this is, but are you able to 3d print them?
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I don't have a 3d printer though I will see if any public library has one I can use. Making it by hand instead of a 3d printer is something I have not seen done so it may not be practical.
DVD and Jewel cases are very common and can be had for less than a dollar, why make them yourself?
Its more not wanting to rely on new petroleum based plastic being produced reusing old cases or 3d printing a PLA based case is a way I can preserve dvds without having to buy new cases.
I'm not sure I exactly understand what you're asking, maybe some pictures would help?
Its the little circle thing you clip the disc onto that goes through the hole of the dvd to hold it in.
If you have access to a 3D printer (some public libraries have 3D printers you can use to print stuff), you might be able to print one fairly easily. I found a couple that might work for your use case:
https://www.printables.com/model/812115-dvd-snap-case-repair
https://www.thingiverse.com/thing:5277570
Thanks I haven't done any 3d printing before but I will look into if any libraries have a 3d printer and if recycling plastic to make the filament is also an option. Either way it 3d printing the the holder and building the container to attach it to out of recycled material would be better than buying a new one out of new plastic.
recycling plastic to make the filament is also an option.
That can be done, but most libraries or maker spaces will not have the tools/equipment. It is a pretty niche corner of 3d printing and is still either very expensive or very DIY. If it makes a difference, most 3d printing is done with PLA which is commercially compostable.
Another option you might try is your local buy nothing or Craigslist. DVD cases aren't uncommon just yet