Grasshopper

algorithmic modeling for Rhino

What kind of surface do I get from "4 point surface"???

Hi

As the title say - when you use the "4 point surface" component, you get the a surface governed by the four boundary lines that span between the points you feed the component.

But what kind of surface is it? especially, is it the minimal surface? 

Best, Peter

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Sorry, my bad - in my mind I'd already asked for the math, which I obviously didn't...

Ok, the math is, as you say, horrible - but I guess I got what I asked for ;) Thanks!

One question though - It's a NURBS surface, but is there any way of determining the preset value of the control point weight? Or is it save to assume that they are all set = 1 at as a component preset? - I mean, the component doesn't allow the user any control of the weight, so I must have some kind of algorithm to determine the weight, if it isn't just = 1...

About the FEA: Actually, at the current state I just import the FEA-result and use it to get a parametric value of the external work in order to compare the performance of different structural designs. 

And, I've created a component, which genererate the principal trajectories governed by a user controlled list of nodes - the idea is to create different trajectory grids and then perform a new analysis in order to compare their performance. Also, the trajectories are cut at the intersection points in order to create seperat beams for the reanalysis - and if you like, you may create straight beams between the intersection points. Though, not all tasks are performed within the one component.

The question on the "4 point surface" emerged from an attempt to make a graphical explanation of Bilinear Interpolation, which I use interpolate the FEA results within an rectangular domain - the trajectory component only works on planar structures with 4 node plane element - for now - it's work in process...

I did some tests of the "4 point surface" and compared it to the values, which you get from bilinear interpolation, and I looks like you may illustrate the interpolation values with the surface created by the component - at least for the tests I've made.

Best, Peter

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