Emérgéntly as a Fractal

This illustrates how a fractal (repeating pattern) of a triangles with a huge diversity of sizes and angles can create an image of Nature. But it is only two dimensional. Perhaps a three dimensional fractal of tetrahedrons with a huge diversity of sizes and angles could model the structure of Nature — the tetrahedron is the minimum structural system possible:

  • How many faces does a cube have? Four sides plus a top and bottom. That is 6 faces.
  • How many faces does a triangle have? Three sides plus a top and bottom. That is 5 faces.
    (A three dimensional triangle is actually a prism.)
  • How many faces does a tetrahedron have? Three sides plus a triangular base. That is 4 faces.
  • And a sphere? That is at least 12 faces spiralInBullet.

Nature is a totally efficient, self-regenerating system. If we discover the laws that govern this system and live synergistically within them, sustainability will follow and humankind will be a success.
R. Buckminster Fuller

Spiral FunctionsTwo dimensional triangles have no opposite sides or angles. The Emérgéntly triangles fold up into a three dimensional tetrahedron, a triangular based pyramid, which also has no opposite sides or angles. Each face of the tetrahedron shares an edge with every other face, so they are all equally interconnected - equally interdependent. According to Buckminster Fuller, the tetrahedron is the way Nature works. In fact, there is an Emergence Theory that reality is built from tetrahedrons.

Carbon is the basis for all life on Earth and the carbon atom always has four relationships with other atoms (it is tetravalent). Carbon is an extremely abundant element by mass in the universe (after hydrogen, helium, and oxygen) so the repeating pattern of fourness probably pervades the entire universe. Every system exists within a context, except perhaps the universe itself (assuming the multiverse is fictional). 

Emérgéntly seems to be a fractal (repeating pattern) of relationships between systems and their contexts.

These tree images were generated with software. The fractal used is a varied dragon curve. See Wikipedia Hubble-Space-Telescope-Galaxy-Collection. See Wikipedia
Dragon Fractal Trees

galaxies

Next: Ideas in Practice

When you put an idea into practice in a place-time context, things get complicated. Bucky likes the example of drawing a triangle on the ground (on the earth).