RadiiInputMacros.zip contains two Macros, with inputs RadiusMax and RadiusMin from the symmetry axis line.
Outputs are mu and lambda. (Simple formulas from the paper.)
Nodoid Radii.nod is a front end Macro for producing Nodulary profiles.
Unduloid Radii.nod is a front end Macro for producing Undulary profiles. For minRadius = 0 a quarter arc is supposed to form, (sphere CMC), but
in actuality, one quarter of an ellipse is formed. (So there may be some error somewhere, the paper or the node.)

Place the two Macros in the Nodeeditor Macro folder. Wire in either as input to the CMC4 node. For input to either Macro,
two radius input sliders can be wired in.

The Macro menu in a nodeeditor window does NOT scroll. So space for the number of Macros is limited by the height of the canvas window.

Changing k to k*k had no effect, re elliptic integrals. The quarter ellipse profile remained the same, and did not turn into a quarter arc.

- Brian

Slider radius inputs for nodoid of 0 to 2 seem nice. Divide by zero and infinity seem to be handled OK by nodeeditor.
Note that revolve axis is parallel to the y axis, in the xy plane. Which line, and the position of the hyperbola and the roulette line is not clear.
The roulette line for the nodulary is to the right of the nodulary curve, focus length from its vertex. (?)
Which I think should be the revolve axis?

See post 1777 for node containing radii macros.