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Variation On A Cayley Tree

Regina Valluzzi

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Variation On A Cayley Tree Drawing  - Variation On A Cayley Tree Fine Art Print
 

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Surreal Geometry

10/26/2012

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Arlington, MA - United States

More info on my website http://www.NerdlyPainter.com email me (send a message though FAA) about originals

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Price

$300.00

 

Dimensions

5.000 x 8.000 x 0.020 inches

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Title

Variation On A Cayley Tree

Artist

Regina Valluzzi

Medium

Drawing - Ink On Paper

Description

Pigment ink on hot press acid free drawing paper, 5 by 8 inches.
Dont forget to visit my website! http://www.NerdlyPainter.com

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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October 26th, 2012

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Viewed 221 Times  -  Last Visitor from Toulouse, B3 - France on 04/16/2014 at 11:59 AM

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