Read this on the Genetic Fractals Design Blog.
When I started this CNC project, I thought it would be a lot easier than it turned out to be. This is known as the Dunning-Kruger effect. This is a chronic ailment for me – I will head into any subject,
Following the CNC bootstrap, which was an unqualified fail, I was left with the choice to abandon this venture and save up the 1000 USD++ cash to buy a kit in China or else try and address the failings. As you will surmise from the image above, I opted for the latter.
Over the past few years I have done a lot of work in developing the science and technology of genetic fractals. At the very basis of it, they look like natural forms such as trees or other natural organisms.
This has been in the making for a while and I’ve finally taken, borrowed and stolen the time to treat genetic fractals scientifically. A paper entitled: “Derivative coordinates for analytic tree fractals and fractal engineering”. Abstract below. I’ve submitted this to Arxiv (reference: 1501.01675).
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:
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,