### Fractal equilibrium count

Continuing on from my earlier blog on fractal equilibrium : Koch Curve Animation From a fixed view point: all fractals ('attractors') form their shape (are at fractal equilibrium) at and around 7 plus or minus 2 iterations - any more than this will come at too high a cost, and with no extra benefit - as shown in the animation of the Koch Snowflake development above. The 5 iterations to develop the fractal Koch snowflake in fig. 1 (below) - the point where the blue extra (Marginal) area (MA) and green extra (Marginal) cost (MC) intersect, corresponds with where the shape of the snowflake is fully developed. This, I believe, is not only a demonstration but is an explanation for The Magical Number - Seven, Plus or Minus Two , but is also observable through-out our reality. From any stand-point, there will be around 4,5,6,7,or 8 levels of protrusion. For example, from where I am writing, I can see out my window where there is a park and some buildings. The building