Carodoid is a geometrical shape drawn on the surface by a rolling circle on the other circle with the same radius. Please considered the process of generation on the below simulation,

Diffusion-Limited Aggregation (DLA) can be explained as a random walk process (particles due to random movement walk away from the place where they started) due to the Brownian motion (see also one of my previous articles). The random motion behavior affects that the particle can be grouped in clusters which…

The idea discuss in the following article is simple, however, the solution can be a bit tricky. I decide to draw it in 2D space a cube and perform the rotation around X, Y, and (Z) axes. This is a common illusion trick that is often used across different domains…

We can think of the metaballs as organic-looking n-dimensional isosurface shapes moving in space. The most inspiring feature is their ability to meld together when in close proximity to create single, contiguous objects. …

The principles of noise that resembles natural behavior and that are better acceptable by human senses I discussed in one of my previous articles. I display the beauty of the Perilin noise which is commonly used in computer graphics. The following article can be considered as a continuity of this discussion…

The choice of random number or noise is affected by the application we run. There are several implementations of random generators in C++. For my purposes, I use often the Marsenne-Twister engine. Generally, we are looking for such an engine (method) that gives always an unreachable number, chosen totally independently…

Fourier series for the periodic function is the sum of sine and cosine curves. Generally speaking, each periodic signal is composed of sine functions (with different oscillation periods). I provided an extensive introduction to signal processing here, where we could see how to design a digital filter. In the following…

Human being often thinks out of the box therefore our life is exposed to changes and many inspiration projects. Since some of my previous articles discuss motion and linkages, that transfer rotational motion to linear or other complex forms of movement, this time I will illustrate Jansen linkage which was…

Similar to my previous article, where I depicted the Hoecken linkage, the following one converts rotational motion to a straight line (it is not an approximation as it was discussed previously).