**Algorithmic Art — Theory & Practice** lectured by Tomáš Staudek, Ph.D.

I teach algorithmic art theory & practice at the **Theory of Interactive Media, Masaryk University, Faculty of Arts**. My course is aimed on art & math intersections and applications of software aesthetics. Students learn to understand new media by hand-on experience in practical assignments. After commented introduction a tutored seminar follows in which techniques of artistic rendering are presented. For each assignment freely available software applications are provided. Students consult their work continuously in seminars. Selected artworks are displayed in the online gallery at http://artgorithms.tumblr.com.

**Michal Ryšavý: Affine Fractal**

Mathematically generated image created with Apophysis software.

The artwork is a result of affine transformation series — linear mappings that preserve points, straight lines and distance ratios. The transformations are supposed to be geometric contractions, such that each image pixel is a point attractor. The image is a combination of iterated reflection, rotation, shear, dilation and translation of triangles (in fact, any starting shape yields the same attractor set). Color tonality corresponds with structure complexity — image brightness is proportional to the number of transformations needed to calculate a given pixel.

**Jakub Bajza: Fractal Flame**

Mathematically generated image created with ChaosPro software.

The artwork is a result of non-linear transformation series mapping a plane into point attractors. Unlike traditional affine transformations, these mappings called „fractal flames“ employ up to 40 variations of non-linear mathematical functions together with dynamic symmetries. Specifically, the image is composed from disc, swirl, spiral, exponential and spherical variations distributed in rotational symmetry. The tone mapping and coloring apply logarithmic histogram density with adaptive estimation and are designed to display as much of the detail of the fractal as possible.

**Adéla Štelclová: Mandelbulb Fractal**

Mathematically generated image created with Mandelbulb software.

The artwork is a result of algebraic iteration of octic equation z(n+1)=z(n)^8+c in the complex plane. Its structure is similar to the Mandelbrot set, however, canonical Mandelbrot sets in 3D do not exist. To achieve 3D structure of otherwise planar algebra, the multiplication function for complex numbers needs to be redefined to produce spatial angles. Mathematically this is not correct, yet sometimes it cool to hack the math in order to create aesthetically pleasing results. The image uses sperically wrapped texture with ambient occlusion to achieve the misty color effect.

http://https://youtu.be/oE7u35Gn0mU

^{Part of Unleashing Screensaver & Unleashing exhibitions}

^{Apr 1 – May 31, 2018}

^{concept & coordination: (c) merry}

^{supported by PAF & Teachers College, Columbia University}

Tags: Algorithmic Art, Masaryk University Brno, Theory of interactive media, Unleashing Screensaver