3D Voronoi Cells

Topic

On this experiment, I was trying to create a custom definition to build 3D Voronoi cells. It’s a developed work of the previous experiment on this link:

https://naeimdesigntechnologies.wordpress.com/2017/01/29/voronoi-cells/

On this experiment, I build an iterative process to subdivide 3D cells against all surrounding other cells so it has the perpendicular facing edges.

Figure 01: 3D Voronoi cells – Iterative Process – Equal Sized Spheres

Figure 02: 3D Voronoi cells – Iterative Process – Equal Sized Spheres – Inner Look

Figure 03: 3D Voronoi cells – Iterative Process – Equal Sized Spheres – Connecting Ties

 

Voronoi Tessellations

It’s the process of subdividing a surface or space into a number of cells. Each cell is only a circle or sphere which shares a part of the dedicated space of other cells. In other words, The cells are intersected, but the Voronoi process is what redefine the new borders which give each cell its unique premises.

It’s a well-known mathematical concept appeared in design computation fields since 1986. However, it’s widely found in nature since like forever. If you have a look at Giraffe’s skin, the Dragonfly’s wings or even the Tortoise’s shell.

Figure 03: 3D Voronoi cells – Iterative Process – Equal Sized Spheres – Editing Edges

References

http://philogb.github.io/blog/2010/02/12/voronoi-tessellation/

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