Finally there's a place where I can post images from some of the Grasshopper definition files I've been working on. I'm too lazy to maintain my own blog so thanks to Dave for starting this forum.
Grasshopper is an excellent utility for generating parametric NURBS based geometry. It can also generate mesh objects but so far I'm having a harder time using the mesh functions. In the future (the very near future...) the functionality of Grasshopper can only increase so we'll have to wait and see what happens.
By way of example I tried to replicate with a NURBS surface the mathematically derived mesh generation script from the RhinoScript101 primer. If you really want to have fun you can check the mesh from the script against the NURBS surface from the definition. Obviously The NURBS geometry doesn't handle sharp edges, creases, or singularities very well but if the resolution setting is high enough the approximation is pretty close.
The definition file has all the sample functions from RhinoScript101 predefined and everything can be controlled with sliders from the remote control panel. I also posted the original script and some images.
This example brings to mind the Math Plug-in for Rhino which also creates mathematically derived curves and surfaces. If you've ever wondered what an enneper looks like in Rhino that's the plug-in for you. I'll have to see if the same thing can be done with Grasshopper.
http://de-de.de/rhino3/_develop/__v3_plugins/math/index.shtmlCheers,
taz