Hello and thank you for posting your work on the Love Heart. What a wonderful gift for your wife, xx. I am an artist working in IT and found it fascinating that a wax casting could be created this way. I also make and collect heart jewellery and objects and your information was really valuable. Thanks again, Denise UK

Hi Jonathan,

Thank you for interesting my post. You can create a chain-ring with below steps.

1. create an annulus in 3D as a chain-ring

        ring = With[{r1 = 0.4, r2 = 2},
             ParametricPlot3D[{(r2 + Cos[v]) r1 Sin[u], (r2 + Cos[v]) r1  Cos[u],
                r1 Sin[v]},
              {u, 0, 2 Pi}, {v, 0, 2 Pi},
              MaxRecursion -> 3, PlotPoints -> 50]];
   

2. Rotate, translate and scaling transform, if necessary.

   ringRotate = TransformedRegion[TransformedRegion[ring,
       RotationTransform[Pi/2, {1, 0, 0}]], 
      TranslationTransform[{0, 0, 0.5}]];
   

3. Then Boolean union on your target region.

   union = RegionUnion[targetRegion, ringRotate]
   

I work with a 3D printing supplier in China, I am afraid, they will be no sourcing advantage for your prototype with considerable shipping cost and customs tax. However, I found a few printing services in U.S. for you to pick.

https://i.materialise.com/blog/en/3d-printed-jewelry/

https://www.shapeways.com/industry/jewelry/

https://envisiontec.com/3d-printing-industries/professional/jewelry/

https://pick3dprinter.com/3d-printing-jewelry-service/

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Hi Jonathan,

Thank you for your interesting for my heart design. In the case, Wolfram Mathematica doesn't work with RegionUnion, You can use Materielise Magics or other software to do region Boolean calculation.

I attached the heart with a ring in STL file format ( at top ) for your reference.

Admins, if this posting is not appropriate by Wolfram Community standards please advise and delete.

Hi Frederick, Can't see how to contact you via the Wolfram Community, would like to contact you about how I've used your heart design, tried on LinkedIn didn't find you, you are welcome to join me on LinkedIn at https://www.linkedin.com/in/drdarrenkelly.