Gyroid mathematical model using primary principles

[PB11 (PB)]

Hello everyone,

I am at the begin of my adventure with the Rhino/Grasshopper.

I am reaching this forum for a help. I am trying to desing gyroid without using any plug-ins. The aim of the design is to have a full control over the wave frequency (porosity of the design) and the thickness of the walls (size of the design). As per picture, I have started with a wave but not sure how to refer it to the equation and get to desired model.

Any help will be greatly appreciated.

Best regards,
Patricia

sinusoid.gh (10.3 KB)

[HS_Kim]

Minimal surface and voxelization

IMO, you can do this without VB script. [Canvas%20at%2022%3B11%3B47] [Gyroid] Voxel Gyroid_re.gh (12.9 KB)

[PB11 (PB)]

Thank you for your responce.

The voxelisation approach is not favourable as this design will find its appication in pharmaceutics therefore it need to be based on the wave function (the part attached in my gh. part must be included). The approach via unit cell or density control by adjusting the Isovalue parameter is also not appropriate.

Any other suggestions, please?

[ajarindia (BVR)]

Hi,

Check this

Gyroid structure with milipede

I think using Millipede then feeding that dense mesh into Dendro would be rather heavy, and also wouldn’t give you the sharp edges where it meets the cube. Dendro unfortunately doesn’t support custom mathematical implicit functions, only the predefined distance functions from input geometry so you’d be going from scalar function>level set mesh>distance function from millions of vertices>mesh. However, there is a way to take the different iso values of the implicit form of these mathematical su…

Cheers,
BVR