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__PIECES OF INFINITY:__

These sculptural works I like to call *Pieces of Infinity* represents research into the characteristics of the simplest Platonic form. A regular tetrahedron is one in which all four faces are equilateral triangles. It is the simplest of the five regular Platonic solids, which have been known since antiquity. I see the tetrahedron as being a symbol of emergence and how from nothing comes something. It takes 3 points in space to define a plane which is infinitely thin. It takes one more point anywhere off that plane to define a tetrahedron which creates a 3d structure in space. The base of a tetrahedron is a 2 dimensional plane, add one more point off that plane it becomes a 3 dimensional object. The tetrahedron becomes even more interesting when stacked upon itself. The form known as the Tetra-helix may be seen as being 4 dimensional because when it is stacked linearly it creates a helix with interesting properties. Even in an infinite string of stacked tetrahedra, no two tetrahedra will have the same orientation, because the helical pitch per cell is not a rational fraction of the circle. This is why the Tetra-helix has a relationship to the number pi and is a visual representation of infinity. I utilise 3d printers to print plastic tetrahedrons which I then put together to form units of tetrahedra which are then cast in bronze. The bronze units are then welded together. This process has developed from linear tetra-helix constructions to what I like to call ‘splices’ where the linearity is bent or abstracted.

The general intent with this sculpture work is to explore the variations of how these tetrahedra can be arranged and what larger forms may emerge. The simplest platonic form can be arranged in ways where very elegant and almost fluid lines emerge. Herein lies my fascination with this methodology. Searching for balance in this process has led to a discovery of how this constructivism can lead to possibly infinite variations.