# Mesh Relaxation & minimal surface

Hindging a Moebius Strip Kangaroo. That's amazing Daniel!

Thank you! If you don't mind, could you explain a few things? I tried to recreate your definition, but for some reason I get this gap. This is really frustrating because I even tried using the same numbers you did! Then you used three spring components. You separated the mesh into two lists of lines, then found the average length and the springs are creating a force that is moving all the lines towards that average. The second spring I don't understand why it is necessary, but it must be important since when I remove it, the whole thing dies. And the third spring is really confusing! Thanks for the help Daniel. Mobius strip in Grasshopper (RO) Relaxation + Remeshing with Plankton and Kangaroo. Kangaroo - Mesh Relaxation - Tutorial 3. Kangaroo - Mesh Relaxation - Tutorial 2. Kangaroo - Mesh Relaxation - Tutorial 1.

Mesh relaxing with kangaroo. Grasshopper code. . a collection of codes & grammars for Grasshopper, a generative modeling tool for Rhinoceros.

Clusterizer This definition groups indexes of connected points into separate clusters. It requires Sandbox & Anemone plugins. Clusterizer_Co-de-iT_0.9.0076.zip Spirograph This definition simulates a spirograph tool. Spirograph_Co-de-iT_0.9.0076.zip. Fig. 13: Decomposition results of a saddle-shaped surface using... - Scientific Figure on ResearchGate. Education/Grasshopper. Code of Space. The current events and Grasshopper workshops you could find in PARAMETRIC EVENTS.

Python General/basics: Python in Rhino/Grasshopper: Autodesk DYNAMO – add-on for Building Information Modeling in Revit: dynamoprimer.com. New tutorial - Developable strips - Part 3. Following on from parts 1 & 2 Once we have relaxed our mesh, and stopped the timer, we can click the Data Dam to pass the result to the next part of the definition: The Stripper* component breaks the mesh into long strips 1 quad wide.

*I did make an alternative icon for this, but opted for the tamer one in the end ;) The Unroller component goes along the strip face by face, rotating it into a single plane. Note that this component will still give a result even if you supply it with non planar quads - it will just fold them along a diagonal. New tutorial - Developable strips - Part 1. A while ago I posted this video about generating and unrolling developable strips: Today I'm going to explain how to set this up in Kangaroo.

There are a few stages to the process: Drawing an initial coarse meshSubdividing this mesh into strips of thin quadsRelaxing/Planarizing this meshSplitting and Unrolling In this post I deal with the first 2 of these stages. You can download the example definition here: developable_strips_tutorial.gh Drawing the initial mesh To begin with we need a simple quad mesh.

One very important thing that we do need to bear in mind though is that all internal vertices must have even valence (I covered this a bit in the earlier post here). So for example, this is bad: (because the highlighted vertex is surrounded by 5 faces) While this is good (and can still be relaxed to the same shape): Minimal surfaces. Frequently occuring in nature, minimal surfaces are defined as surfaces with zero mean curvature.

These surfaces originally arose as surfaces that minimized total surface area subject to some constraint. Physical models of area-minimizing minimal surfaces can be made by dipping a wire frame into a soap solution, forming a soap film, which is a minimal surface whose boundary is the wire frame. The thin membrane that spans the wire boundary is a minimal surface of all possible surfaces that span the boundary, it is the one with minimal energy.

One way to think of this “minimal energy” is that to imagine the surface as an elastic rubber membrane: the minimal shape is the one that in which the rubber membrane is the most relaxed. A minimal surface parametrized as x=(u,v,h(u,v)) therefore satisfies Lagrange`s equation (1+h(v)^2)*h(uu)-2*h(u)*h(v)*h(uv)+(1+h(u)^2)*h(vv)=0 (Gray 1997, p.399) This year`s research focuses on triply periodic minimal surfaces (TPMS). Schwartz_P surface Neovius surface. Mesh Relaxation component. My first release of a Grasshopper component.

A mesh relaxation component based on a force density algorithm. The component used a mesh, rather than a brep, determines it's naked (lose) edges and relaxes the mesh nodes. All of this woudnt be possible without the inspiration and some components from: - Jon Mirtschin : / - Ursula Frick & Thomas Grabner: - Giulio Piacentino : it's Weaverbird component: Some of the examples and scripts i have included in the package use Giulio Piacentino's Weaverbird and uto's mesh tools. please be sure to have them installed for the script to properly work.