# Exploring the unseen; the story of genetic fractals

Reposted from my design blog. I am preparing an exhibition of genetic fractal art and this is an introduction to this. With genetic fractals I am exploring the process of creation. A process that starts with nothing and evolves into something both beautiful and complex at once. Every artwork of genetic fractals has a clear…

# Definition of geometric space around analytic fractal trees using derivative coordinate funtions

Published on arXiv, my new paper on analytic tree fractals (a.k.a. as genetic fractals). Title: Definition of geometric space around analytic fractal trees using derivative coordinate funtions Author: Henk Mulder Abstract: The concept of derivative coordinate functions proved useful in the formulation of analytic fractal functions to represent smooth symmetric binary fractal trees [1]. In…

# Fractal space

This one has been long in the making. Ever since formulating the maths of genetic fractals, I have been wondering about describing fractal space, i.e. the space around fractals. I have just submitted a paper to arXiv which is scheduled to become available in a few days. I will update this article with the link.…

# Formulation of an ellipse using derivatives coordinate functions (part 1)

Recalling derivative coordinate functions When I developed the equation for genetic fractals (paper) , I first defined a “path function”, i.e. an equation that could represent arbitrary curves. This is given as: The notation is slightly different with respect to the paper. is a derivative of the coordinate function and  is a derivative of the…

# Tube Amp by Genetic Fractals: the LEAR (Part 1)

Part 1: the Amplifier Unit This is a proud post. Now that I have a fully functioning CNC machine, I can give form to design ideas that I have harboured for a long time. This tube amp is one of many such ideas.

Originally posted on Genetic Fractals Design:
? Henk Mulder “Ombrier II” (2016) Acrylic screen with CNC carved genetic fractal tree on an oak base 20 x 13 cm Plastic IKEA hacked projector on an oak pedestal 9 x 5 cm This work unites many of the concepts that I have been studying. The fluent and…

# Binary genetic fractals

I’ve been meaning to do this for a long time: create the simplest possible genetic fractal based on a binary string. Let me explain. The nice looking fractals I post here and elsewhere are all driven by a genetic sequence. This goes something like: bend to the left by so much

# G-sound from PMS

After 9 nine months of building the Genetic CNC router in 3 generations, I have finally produced the first non-test cut. A couple of speakers for my workshop to enjoy Spotify when the CNC router isn’t destroying my ears.

# Genetic CNC – V1.0000000

Yes, you read that right: V1.0! Since my first prototype back in December 2015 which moved a dremel along the XYZ directions but had a resolution of