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Rational v. Non-Rational Surfaces

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I am trying to force myself to learn the details of Rhino scripting (Python). The documentation is often vague and there are a lot of dead links.

https://developer.rhino3d.com/api/RhinoScriptSyntax/win

What is the formal difference between a “rational” surface and a “non-rational” surface?

I see references that describe “rational” surfaces as something like a sphere.

It appears from the API that a rational surface lacks a degree and weights. What then matches the remaining parameters to a specific type of rational surface?

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