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5.000 x 8.000 x 0.020 inches
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Variation On A Cayley Tree
Drawing - Ink On Paper
Pigment ink on hot press acid free drawing paper, 5 by 8 inches.
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The Cayley tree is a mathematical object related to a Bethe Lattice (see the wikipedia article for an overview here: http://en.wikipedia.org/wiki/Bethe_lattice). It�s essentially a branched structure. Each node joining the branches in the �tree� has three branches emanating from it (think of it as a trunk that forks into two branches at the node). Each branch terminates at another node which also branches. A smooth plane has two dimensions and a smooth line has one dimension, but a Cayley tree has an intermediate dimensionality. This can be useful for certain types of calculations: where a fractal surface either better reflects the physics of the system, or where the symmetry of the Cayley tree simplifies the physics and/or math.
In �Variation on a Cayley Tree� some liberties were taken with the strict branching geometry and topology of the mathematical object, in order to map it onto a form that actually resembles a tree. The drawing �Variation on a Cayley tree� is part of a series of drawings and paintings examining tree symbolism in nature, and in the world of scientific ideas.
October 26th, 2012
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