Found In Translation: Voronoi Gift Box

Leveraging the mathematics of pattern in nature

Found in Translation: Voronoi Gift Box

A wooden box created from a fascination with complex patterns and structures in nature.

The Voronoi principle: a Voronoi tessellation is a method of partitioning a plane into regions. This is based on distances to points in a specific subset of the plane. Those sets of points (seeds) are specified beforehand, and for each seed there is a corresponding region called  a Voronoi cell.

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Voronoi in nature at different scales
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Artificial voronoi

The applications for the Voronoi method of space division ranges widely, and includes applications in Astrophysics, computational chemistry, epidemiology, architecture, mining, and autonomous robot navigation to name but a handful.

The Generative Process:
Translating a list of GPS co-ordinates of world cities into a graphic voronoi pattern.
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Convert GPS co-ordinates (lat/long) to Cartesian (x/y) and plot these points on a plane and circle or cell is defined around each point
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The cells grow radially, forming cells at point of contact
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Cell growth increases to fill the plane.
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The final graphic product.

Voronoi Gift Boxes:
Application of the generative process in the manufacture of a product
My beautiful sister got married to her lovely wife in 2012. I wanted to make a special gift for them: Something that would be beautiful, functional, interesting and imbued with symbolic meaning. So I asked them for a list of places with significance to them as a couple: where they grew up, where they met, went on holiday, shared meaningful moments etc. From this list of places I generated a Voronoi tessellation that tells their story. The resulting pattern was then used to create the structure of panels for a box which I laser-cut and assembled out of ply-laminated maple.

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Voronoi Gift Box. Christian Liebenberg
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Voronoi Gift Box. Christian Liebenberg
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Voronoi Gift Box. Christian Liebenberg
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Voronoi Gift Box. Christian Liebenberg