A Voronoi pattern is a subdivision of a plane into regions based on distance from a set of specific points, called sites. Each Voronoi region contains all points that are closer to a given site than to any other site. These regions, called Voronoi cells, are polygons that can be of different shapes and sizes depending on the distribution of sites. This concept is used in various fields, such as computational graphics, spatial analysis and the modelling of natural phenomena.
In nature, Voronoi diagrams can be found in numerous examples, such as the arrangement of cells in plant tissues and the formation of veins on the wings of insects, e.g. in dragonflies. The compact organisation of maize kernels on a cob is also an efficient natural solution for optimising space. This efficiency pattern is therefore also ideal in architectural and design applications, where the harmonious and functional subdivision of space becomes both an aesthetic and practical objective.
Physics, with its constant search for balance and optimisation, shows us how these structures can form spontaneously, as in the soap bubble group. In addition to maximising the use of space, Voronoi’s pattern manifests itself in three-dimensional structures that require lightness and strength, such as in the microstructures of bones or in components created using generative and evolutionary design techniques.
Using the Voronoi pattern to decorate railings and fences is an aesthetic choice that can give structures a modern, organic look. The pattern can be customised in terms of dot density and distribution, thus influencing the size and shape of the Voronoi cells. This allows the design to be adapted to the specific needs of the project, such as the strength of the structure or the amount of light you want to let through. Once the pattern has been created, it can be turned into a technical drawing that can be used for cutting materials. The lines of the Voronoi diagram become the edges of the sections that will be cut. The design is then applied to suitable materials such as metal, wood or plexiglass. Technologies such as laser or plasma cutting are ideal for realising the Voronoi pattern with precision. The cut parts are assembled to form the railing or fence. Voronoi cells create a visually interesting structure that can vary in complexity and transparency.
To create this interesting pattern, we will use the free and open source software Inkscape, which is very useful for creating any kind of image in vector graphics. Inkscape offers a wide range of tools, including the possibility of creating fascinating Voronoi patterns. These patterns, characterised by irregular cells, are ideal for laser cutting projects, offering an organic and modern look. By following this step-by-step guide, you can create and customise your own Voronoi patterns easily and effectively.
Start by opening a new document in Inkscape. The first element to create is a rectangle: this will act as a container for your Voronoi pattern. The size of the rectangle will determine the final size of your design. Be sure to place it in the centre of the document for better workspace management.
With the rectangle selected, go to the Extensions menu and select Generate from path > Voronoi Pattern.
A dialogue box with several options will open:
Once you have set your preferences, click on ‘Apply’ and then ‘Close’. Your rectangle will turn into a fascinating Voronoi pattern.
To further edit the pattern, it is necessary to convert it into a vector graphic object. Go to the Object menu and select Pattern > Pattern to Object. At this point, the pattern will consist of individual paths that you can manipulate freely.
Line thickness: Select the pattern and, in the properties window, change the line thickness to achieve the desired effect. Thicker lines will give the pattern a more pronounced appearance.
Line colour: You can also change the colour of the lines to create contrast or match it with other elements of your design.
Rounding corners: For a more organic look, you can round the corners of the cells. Select all the nodes of the pattern and apply the ‘Corners’ effect from the pattern settings.
You can adjust the radius of curvature to achieve the desired effect.
Before exporting the pattern for laser cutting, it must be optimised. Make sure that:
Paths are closed: Check that all lines in the pattern are completely closed. If there are open lines, the laser cutting machine may not interpret them correctly.
The thickness of the lines is adequate: The thickness of the lines must be sufficient to be detected by the laser cutting machine, but not excessive enough to cause problems during cutting.
Once you are satisfied with your design, export it in DXF (Drawing Exchange Format). This is a standard format used in the CAD/CAM industry and is compatible with most laser cutting machines.
Import the DXF file into your laser cutting machine software and configure the cutting parameters (power, speed, etc.) according to the material you will be using.
You may have already noticed this tessellation motif and its recurrence in the natural world, even without knowing its name. We hope that this tutorial will be a useful starting point to explore and experiment with new possibilities in the field of architectural decoration and industrial design. Thanks to its versatility and structural characteristics, combined with its nature-inspired aesthetics, this pattern manages to combine high performance with a distinctive and striking look, also suitable for the sheet metal sector.
This article was selected for publication in the December issue of Lamiera magazine.
