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.

Voronoi in nature at different scales
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.

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
The cells grow radially, forming cells at point of contact
Cell growth increases to fill the plane.
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.

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