Geometric Constructions Develop Mind and Spirit
As geometers, equipped only with compasses and straight-edge, we enter the two-dimensional world of the representation of form. A link is forged between the most concrete (form and measure) and the most abstract realms of thought. By seeking the invariable relationships by which forms are governed and interconnected we bring ourselves into resonance with universal order. By re-enacting the genesis of these forms we seek to know the principles of evolution. And by thus raising our own patterns of thought to these archetypal levels, we invite the force of these levels to penetrate our mind and thinking. Our intuition is enlivened, and perhaps, as Plato says, the soul’s eye might be purified and kindled afresh “for it is by it alone that we contemplate the truth.”
We may ask how the practice of Sacred Geometry helps us confront the profound questions of existence: What is the nature of Spirit? What is the nature of Mind? What is the nature of Body?
My individual practice of Geometry gives this reply: The Body is the most dense expression of Mind, and Mind is all the subtle extensions of Body; and underlying this entire world, from the most dense to the most subtle, there is one substance. This substance is Spirit which has become entranced by the beauty of geometrizing.
[Robert Lawlor, Sacred Geometry, Philosophy and Practice. (London: Thames & Hudson Ltd., 1982, reprinted 2007), 14 & 108.]