Previous article: Implementing the Genetic Equation Next article: Accessory functions In the last post on 2D genetic fractals, we introduced the Genetic Equation without branches and saw that using the driver functions we generate any path that we want. The Excel example was useful for messing around with the driver functions. But for branches, in particular…
Next article: plotting fractals Having plastered pretty pictures all over the internet and even having a genetic fractal in an art gallery (yes…!), the time must have come to out genetic fractals beyond sharing beautiful maths equations. So here it is, a series on constructing genetic fractals in 2 dimensions. “Why only two?”
In this blog I have referred to artificial DNA or aDNA without really explaining what I mean by this. Initially I started using this term in the context of genetic fractals which are a mathematical model of natural structures and even organisms.
Update: please refer to this post for a detailed article We can extend the Genetic Equation to higher dimensions. Remember that the two-dimensional exponential form of the Genetic Equation is: Or in trigonometric form:
It’s been quiet on this blog. There is something beautiful about that. Still, we must plow on.
Whilst messing around with genetic fractals, I have been trying to turn them into useful systems. From a system perspective (L-system) genetic fractals are just trees of nodes where the position of the nodes, as well as other properties such as shape and colour,
One of the main motivations in developing genetic fractals is in their use in systems. A fractal is a peculiar object that branches infinitely many times whilst it is still contained within a boundary. Each of the branches is connected with a root and with each other,