Geometry is Everywhere

What makes us all the same is that we are all unique, living geometries.

Every kind of flower, shrub, tree and creature, including us and the parts of us, and the planet upon which we live, contain within each mystery, a geometry of forms and forces.  Picture Credit: Aaron Burden at Unsplash

Every kind of flower, shrub, tree and creature, including us and the parts of us, and the planet upon which we live, contain within each mystery, a geometry of forms and forces.
Picture Credit: Aaron Burden at Unsplash

Timeus, Plato’s spokesman in the dialogue of that name, made it quite clear right from the outset that any discussion or speculation about the origin of our universe should be founded upon (a) Sameness, (b) Difference (or Otherness), and (c) Essence (or Being). Constant awareness of this triad, simple as it may be, is now considered the only way to maintain an intelligent and harmonious balance between intuition and reasoning.

Keith Critchlow, The Hidden Geometry of Flowers.

In his book The Hidden Geometry of Flowers, Critchlow tells a story of how the multi-dimensional aspects of a flowers’ shape, the fabric of its leaves and stem and petals, and the style and place in which it grows, even its colour, can be seen in terms of geometric patterns. That is the fabric or matter of the petal, the leaf, the stem and so on; each have an innate, or resident, pattern. Indeed, the colours do too, except that we can’t identify those so easily, as colour is a subtle spectrum, a wave pattern that we are not used to separating into its component frequencies. We are more used to seeing colours every day as, simply, colours. Nevertheless, as we go deeper into the geometry of the flowers, we begin to find the hidden commonalities between all living biologic forms.

“We discover that the very essence of our being is what makes us all the same; in that every single one of us is different.”

Which is another way of presenting Plato’s triad and makes platonic wisdom even more profound. The three parts into which his triad divides, unify themselves, to form the one paradoxical statement that unites every living creature; the pattern of their living matter; always the same in that it is invariably unique, or different from any other.

In Yoga, the triad Plato refers to, is the symbolic essence of Ida, Pingala and Shushumna; the symbolic unifying of the masculine and the feminine opposites, brought together in balance, from which the natural third force of “neutral”, Shushumna, spontaneously arises. Metaphorically, everything living abides by the rules of this simple triad and when we examine biotensegrity as the explanation for how fascia is architecturally held together (and apart) we begin to discover these paradoxical elements that fit the Platonic premise.

The forces that move through us, that we manage in order to move, are not singular or linear, forces. They are natures’ surroundings affecting our surrounded nature; the skin that wraps us. We experience force, we counterforce and action arises, wherever it happens on the scale of speed to stillness. In terms of the forms, the volume of any animated, living wholeness or whole organism, is presented as tension, compression and tensegrity (being the unifying expression of both in balance and flux. In living matter, that is of course tensional force transmission and compressional force transmission and biotensegrity: the mutual balance we re-present moment by moment by being on this planet as living organisms in a constant state of biological flux. Like the flowers and fauna and flora and creatures we share the planet with, our Mother Earth, Geo (earth) Meter (Measure), Mater, Mother. Geometry literally means the “measure of mother earth”. We are the microcosm of the macrocosm of the cosmos itself; rounded forms working in a side the folded membranes that contain us. From the organelle to the cell, to the organ, the organism and the organisation on this organic planet – we are relentlessly operating at different scales of the same soft-matter physics.

That is the physics of soft-matter forms that use similar patterns to form diverse matrices. Pattern comes from pater, matrix comes from mater; as does matter. We express the living combinations, connections and diversities of the unified wholeness of these supposed oppositions or polarities. Essentially we are all the same-same, but different: relentlessly. As the man said: “…speculation about the origin of our universe should be founded upon (a) Sameness, (b) Difference (or Otherness), and (c) Essence (or Being).” Welcome to our world.