“Circular Strings” – a fractal animation with relaxing electric guitar music

A new music video is on YouTube. It is a high resolution fractal animation with the title “Circular Strings”.

The soundtrack is an electric guitar instrumental, of the same name, which is available on some music streaming services.

The animation was created using a directed graph iterated function system and interpolates between connected quadratic Julia sets, which are associated with the Mandelbrot set. The pictures Strings, Static 1, Static 2, and DGIFS11a form the basis for some of the keyframes of the animation. In fact, any individual frame of the animation can be used to make a fine art print.

“Light on a Lake” and “Red City” – moving fractals

Two high resolution fractal animations, Light on a Lake and Red City, are on YouTube.

The piano soundtrack of the Light on a Lake animation is “An Amalgamation Waltz 1839” by Joep Beving.

The soundtrack “Red City Moves” (piano and strings) specially created for the Red City animation, is available on some music streaming services.

The fractal animations were created using a directed graph iterated function system. Any individual frame of the animations can be made into a fine art print.

Arte Laguna World

Some pictures are on Arte Laguna World's Facebook page, post 1 and post 2, and on their Instagram page, post 1 and post 2.

Arte Laguna Prize 2020/21

Some “Dynamical Designs” have been selected for the Artists in the Spotlight and the 1st Selection categories by the jury of the Arte Laguna Prize.

Physics Today Online (American Institute of Physics)

There's an interesting article in the January 2019 issue of Physics Today about some innovative research at Utrecht University which investigates the behaviour of an electron lattice in the form of the Sierpiński triangle. The article is by Johanna Miller who has also written a companion piece (which uses the fractal DGIFS5 as an illustration) giving her personal view on the story.

Cornici Burgar, Ivrea

Fine art prints of “Dynamical Designs” and fractal art on display in the picture framer's shop Cornici Burgar. (Facebook and Instagram.)

Mathematical art. Fine art prints of mathematical art and fractals in a shop window.
Fractal art. Canvas fine art print of the impressionistic fractal Light on a Lake, made with a directed graph IFS.
Math art. A close-up of a canvas print of the picture Light on a Lake, a fractal made with a directed graph IFS.
Fractal art. A fine art print of the picture Strings in shades of grey, a fractal made with a directed graph IFS.
Mathematical design. A fine art print of the picture Pebble Spiral 1, created using trigonometric functions and polynomials.
Fractal art. A fine art print of the black and white fractal picture Charged Curve, a Sierpiński curve Julia set.
Fractal art. A canvas fine art print of the blue and turquoise fractal CD0, the Julia and Fatou set of a polynomial.
Fractal image. A close-up of a canvas fine art print of the blue and turquoise fractal CD0, a Julia and Fatou set.
Mathematical art. A fine art print of the impressionistic picture Seascape, made with trigonometric functions.
Mathematical artwork. A fine art print of the blue and sand coloured picture Sand Flow, made with trigonometric functions.

Random walks

Below is a picture that was created by applying random walks to the pixels of a photo of an oil pastel drawing. This picture has the title “Iteration”. The ellipse shows the pixels indicated in the main picture.

Mathematical art. The picture Iteration for a fine art print, created using random walks on an oil pastel picture.
Random walks on an oil pastel picture (detail).

Grotta di Sale, Ivrea

A well-attended exhibition of 20 pictures was held in the historic town centre of Ivrea (Piemonte, Italy) at Grotta di Sale in via dei Patrioti. The exhibition was entitled “Disegni Dinamici - un incontro fra l'arte e la matematica” which translates as “Dynamical Designs - a meeting between art and mathematics”. A maths class and an English class from a local school, together with their teachers, came to the exhibition to ask questions and listen to a talk explaining some of the maths and methods used in the creation of the pictures.

Below are some photos of the exhibition. In the future it will be good to see all the other pictures printed at the same size, or larger, as the canvas print.

Dynamical Designs - a meeting between art and mathematics. (A photo of the exhibition of mathematical and fractal art.)
Three fine art prints of mathematical art.
Canvas and paper fine art prints of mathematical art.
Fine art paper prints. (A photo of the exhibition of mathematical and fractal art.)
A fine art paper print of a picture created using trigonometric functions and low degree polynomials.
Two fine art paper prints of mathematical art.
Two fine art prints of fractals made with Möbius transformations.
A canvas fine art print of a directed graph IFS fractal (closeup).
A canvas fine art print.