Rheotomic surface / flowline relationship

Using the same tool as shown in the previous video
(http://vimeo.com/37060860)
This shows how rheotomic surfaces are made from the imaginary part of a complex function. Contours of this surface are streamlines of a potential flow.
If we take the real part of the same complex function, we get a surface whose contours are the corresponding orthogonal equipotentials.
The 2 parts can be combined to give a surface with spiralling contours, and if a linear flow is added, it makes the entire surface slope in a particular direction.
More details and download here:
http://www.grasshopper3d.com/profiles/blogs/rheotomic-surfaces-and-flowline-generation-tool

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Comment by ahmad elshafei on May 9, 2014 at 1:37pm: can u send the grasshopper definition for us because we need it in our GP please u can send it on my Email : A_elshafey@ymail.com

Comment by richie hawtin on March 1, 2012 at 2:20pm: hey daniel!

great work!

I tried to download the file but somehow i canot open the file in grasshopper. I curently have version 080066, would you have any idea why this is happening?

thanx alot!

Comment by Daniel Piker on February 27, 2012 at 12:17pm: @Taz - that's the funny thing - it's the other way round. The surfaces are generated first as complex heightfields and the flowlines come for free as the contours of those surfaces!