The Infinity Tree

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Scorched, dry, barren, the desert wilderness sits silent, still, soundless, lifeless. Only the pale whispers of the delicate desert fauna can be heard. Whispering, softly a whisper becomes a murmur, gently a murmur becomes a sound before the faintest of echoes can be heard between; it begins. At first a drop, motionless.

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Weeks pass, slowly, a drop becomes a trickle, trickling, creeping, a journey begins, weaving, the trickle meanders. With time it grows, a small stream flows, filling the cracks of the playa. New life left in its wake, the desert is alive once more, the sounds of joy approaching. A sapling emerges from the stream, twisting and winding it grows high above the ground, encircling itself, entwining itself.

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A figure of our memories, a myriad of our existence, its infinitude transcends time and like the stream to the tree we breathe life into the playa. A rest for our minds, a shelter for our bodies, a place not only to remember, a place to never forget. As our lives become more complex, diluted by materialistic culture, we find ourselves absorbed in the external forces placed upon us.It can sometimes be easy in a world of fake ideals and counterfeit culture to forget what is really real to us, what is truly important.


Above the consumerist sphere exists a timeless space, our memories, our joy, our loved ones, an eternal, unbreakable, everlasting chain. The Infinity Tree is symbol of what can never be lost, what will always be found, and what makes us who we are.

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The Infinity Tree is inspired by Daniel Piker’s “Rheotomic Surface” research.

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Rheotomic Surfaces

The concept Rheotomic surface’s was developed by Daniel Piker and involves the mathematical generation of ‘walkable’ interconnected surfaces. With ‘Rheo’ from the Greek for flow and ‘Tomos’ meaning cut or section these surfaces make an equivalence between the geometry of the helicoid surface ad the vortex in Laplace’s equation. Through plotting clockwise and counter-clockwise helical points in x and y on a mesh plane, a chain of real and imaginary components from complex numbers can be generated, in turn making it possible to then plot the vertical points of the helicoid. Finally to allow the surface to be connected a separate algorithm is necessary to remove the unnecessary surface excess.fINAL pRINT12

From these surfaces a variety of  2 dimensional flowlines can be produced to describe the surface geometry through sectioning. A series of different results are given depending on the combination of helical regions and the number of individual flowlines used. Streamlines show the directional flow of the surfaces whereas equipotentials show the relationship between helical regions centres. Combining multiple flow line types produces  a number of interesting patterns.


Using the generated lines of flow it is possible to map a corresponding structural grid on to the surface through curve projection. Depending on the combination of clockwise and counter clockwise helicoid regions, a variety of different results are apparent. Structural integrity will have to be physically tested however due to the fact the grid is derived from the equation used to generate the surface it is likely that a sound result may be produced.