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Re: soap films

  • To: mathgroup at smc.vnet.net
  • Subject: [mg101168] Re: [mg101103] soap films
  • From: "David Park" <djmpark at comcast.net>
  • Date: Thu, 25 Jun 2009 07:17:07 -0400 (EDT)
  • References: <32580443.1245839715733.JavaMail.root@n11>

I don't know how we are to see the example you give below. Is that a web
address?

I'm certain it is possible to represent soap film surfaces with Mathematica.

Here is an example of a minimal surface parametrization (Enneper's minimal
surface) and a plot of it:

enneper[u_, v_] := {u - u^3/3 + u v^2, -v + v^3/3 - v u^2, u^2 - v^2}

ParametricPlot3D[enneper[u, v], {u, -3, 3}, {v, -3, 3}]

This is from an excellent book:

Alfred Gray, Modern Differential Geometry of Curves and Surfaces with
Mathematica, Second Edition, 1998, CRC Press.

Specifically with:
Chapter 30. Minimal Surfaces
Chapter 31. Minimal Surfaces and Complex Variables


David Park
djmpark at comcast.net
http://home.comcast.net/~djmpark/  


From: Dimitry [mailto:dima.architekt at gmail.com] 


Hi All,

I'm an architect and I trying to apply complex geometry for buildings.
Now I'm engaged in simulating of soap films,
and my question is how it's possible to simulate soap films(see the
picture)/Users/dimitrydemin/Pictures/iPhoto Library/Originals/2009/
stadel/Picture 10.png

with mathematica?

Thank you very much and best Regards!
Dimitry




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