In nature as well as culture, fractals tend to arise when there is a balance of negative and positive feedback loops. Negative feedback keeps things stable, like a themostat. Positive feedback make things unstable – a "vicious cycle" like economic inflation. In this last exercise you have two sample shapes. The first (above) represents negative feedback. Because the line segments are small, the general shape is maintained (you can write your name in fractals!). Note the low dimension. The second (from the "Seed" dropdown menu in edit mode) represents positive feedback. Note the high dimension. See if you can create a third that balances negative and positive feedback and gives us a "more fractal" looking fractal, with a dimension in-between. |
African representation of recursion |