Rhino3d Engine as a web service?

It is not possible to do that without running Blender on the server.

Since you have already much work done on top of Rhino through Grasshopper I would think that it is most useful to continue that way. Blender is completely different from Rhino, the SDKs and APIs are not swappable. Furthermore, Grasshopper functionality exists through Rhino Compute as well, see

/Nathan
Rhino and Blender dev.

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