Generating Isopotential Maps

by Matteo Lo Prete

Jan 14, 2010

The experiment investigates generative processes for Isopotential Maps. Considering a surface as input (it will be assumed as basic field) and a series of "n" attractors the GH definition will individuate a series of curves which describe the field of forces operating on the area. The definition, developed in cooperation with Andrea Graziano, allows to manipulate "n" attractors as a sort of electric charges. You can decide the charge's value (positive or negative) and eventually invert it during the process. Ispotential curves are extracted by the intersection between a series of planes and the surface emerged by the field influence. Here you can downolad the GH definition and a very simple Rhino file, to be used as first example: MLP_Isopotential lines creator.3dm MLP_Isopotential lines creator.ghx Here you can see and image that describe the result of the generative process.

Matteo Lo Prete info@matteoloprete.com www.matteoloprete.com Andrea Graziano arch.a.graziano@awn.it http://andreagraziano.blogspot.com/

  • Minh

    Thanks for the share

    Jan 15, 2010

  • kleerkoat

    very nice!

    Jan 15, 2010

  • Pablo Miranda

    +1 .. awesome!

    Jan 15, 2010

  • Rob Henderson

    you're really measuring the acceleration of the surface. elegantly and cleverly assembled!

    Jan 18, 2010

  • Matteo Lo Prete

    Thank you everybody!

    Jan 18, 2010

  • Stuart Fingerhut

    DOPE!

    Feb 6, 2010

  • dani bas

    Once you have the equipotential lines, how can you get the maximum variation lines (streamlines)?

    Feb 1, 2011

  • Jissi Choi

    There is a big mistake here. Vectors from the negative particles are created in the opposite direction, but
    at the last process only the lengths (which are always positive) of vectors are used.

    So the result curves are just connections of points which have same length the vectors.

    This is not the equipotential curves.

    It is not considered at all of negative particles.

    You can find easily that positive and negative particles (attractors) are on the same curve.

    Dec 28, 2011

  • Matteo Lo Prete

    Hello Jissi, thank you for your feedback. Could you show me how to modify the GH definition in order to obtain a better result? I will appreciate it!

    Best regards,

    M

    Jan 1, 2012

  • Jissi Choi

     

    From your idea and definition..

    I did a few modification.. for calculating approximate equipotential curves..

     

     

    And Here is the definition..

     

     

     

     

     

     

     

     

    the Vector Display shows a Electric Field Vectors..

     

    Sadly, this comment line doesn't allow me to attach GH file..

     

    I sent you it via Email..

     

    http://en.wikipedia.org/wiki/Electric_potential#Electric_potential_...

     

    http://en.wikipedia.org/wiki/Electric_field#Definition

     

    http://sciencewise.blogspot.com/2008/01/exploring-electrostatics.html

     

     

     

    Jan 3, 2012

  • Matteo Lo Prete

    Thank you very much Jissi!

    I checked my mail address and I didn't received your message. Could you please re-send it to info@matteoloprete.com ?

    I will take a look to your work and it will be surely useful to better comprehend my mistake.

    Thank you again.

    M

    Jan 3, 2012