Set boundary in rheotomic surface definition

by Lefteris Siamopoulos

Dec 5, 2012

I found this definion created by Daniel Piker in the forum.

http://www.grasshopper3d.com/video/rheotomic-surface-flowline-relat...

The problem is, that when you define points, the rheotomic surface is created always in a boundary starting at (0,0).

How can I define the boundary/closed curve, in which the drawing of the rheotomic surfaces will take place?

up

Daniel Piker

Hi Lefteris,

It depends on how you want the surface to relate to the boundary.

If it should just be trimmed by it, then regular boolean operations should work.

(just extrude your boundary vertically and intersect it 'cookie-cutter' style)

However, if you want the equipotentials to actually follow the boundary then it is a rather more difficult but interesting problem. I think this would need the Schwarz-Christoffel transformation.

http://math.fullerton.edu/mathews/c2003/SchwarzChristoffelMod.html

1
Dec 6, 2012
up

Daniel Piker

also - on a side note - I was just looking at some nice images of nematic films and Schlieren textures

http://dept.kent.edu/spie/liquidcrystals/textures1.html

http://www.lci.kent.edu/polmicpic.html

which I think have some interesting links to rheotomic surfaces

(also singular optics http://www.opticsinfobase.org/oe/fulltext.cfm?uri=oe-14-23-11402)

1
Dec 6, 2012