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Variation on a Cayley Tree

Variation on a Cayley Tree

Piece description from the artist

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.

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Details

Size
5.0" x 8.0"
Medium
ink on paper

Unfortunately, the original of this work is not available. However, one of our friendly Personal Curators can reach out to the artist to see if they’d be interested in a commission. Get in touch.

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