# Analog 4-bit random number generator

As previously reported, I’m on a slow track research project into randomness. Having explored the concept of random bits and built some experimental random electronics, I’m still progressing in my question to understand how randomness can be exploited

# A mathematical curiosity: A fractal tree object with branches in every dimension, up to infinity

I stumbled upon a curious mathematical beast: a fractal with infinite dimensions. I will be producing 3 dimensional renderings to get an idea what this ‘looks’  like, but let’s start with the maths. Imagine a trunk of a 1-dimensional tree, i.e. a fat line. After a while it splits into two branches in a 2-dimensional…

# Pseudo quantum computer – home built

A pseudo quantum computer, really? If you know what a quantum computer is than the post title should make you suspicious. Let me explain. The power of a quantum computer comes from its ability to have its cubits in superposition while it is “calculating” a solution. This means that the cubits have all values at…

# Random computing: a precursor to quantum computing

In my quest to stay up to speed on new technology, I had this crazy idea to develop my own quantum computer. After all, if Elon Musk thinks he can move humanity to Mars then building a quantum computer in my garage should be in the range of the possible. Let me start by saying…

# 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 . 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…