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~ I came across the fascinating book called "Sacred Geometry - Philosophy and Practice by Robert Lawlor when researching sacred geometry and the honey bee.
~My Math does not stretch as far as understanding the deeper mathematical relations of square roots --however the metaphor and archetypes found in the "Root" strike a cord
~ On Page 3 of his book is an art diagram of the Form and proportions of the Honeybee - relating to the Root of 2
~ "Exerpt page 31 "Sacred Geometry - Philosophy and Practice"
"The Root of a Plant, like the mathematical root, is causative, the former being embedded in the earth, the latter embedded in the square. The visible growth of a plant , its proliferation into specificity, depends upon the root for stability and nutrition. The Plant root nourishes because it is able to break down ( divide) the fixed, dense mineral constituents of the soil In the vital sense the geometric root is an archetypal expression of the assimilative , generating, transformative function which is root. Like the vegetal root, the root of 2 contains the power of nature which destroys in order to progress ( it severs the initial square) and it also contains the power which instantaneoulsy transforms 1 into 2 .."
This book contains amazing insigts and Art Illustrations on the Theme of Sacred Geometry, you can take a peek at it below
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