Talking about fractals usually refers us to geometric patterns related to the golden proportion that nature offers in its immense variety. Discovering something that was already there and to name it is, though surprising, something very recent. Thus, the fractal concept is not new for mathematics, which already studied it in detail at the beginning of the last century within the theory of measurements; nevertheless, the specific name was not used until 1975 by the mathematician Benoît Mandelbrot, who distinguished several types of fractals according to their greater or lesser accuracy in the copy and the possibility or not of infinite reproduction.

But what do we understand by fractal? The word was used to designate the patterns of forms that did not fit the traditional geometric descriptions despite keeping an ordered structure. A proximity analysis revealed that these patterns were composed of small elements equal to each other, composing drawings that repeat on a larger scale, keeping the same distribution. Nature is full of examples of this type, such as snowflakes or sunflower seeds.

3D design with fractals

The study of this concept had an immediate practical application to graphic design. The use of fractal structures in the clouds, the mountains or the sea gave the graphics a greater realism that significantly improved the final result. Likewise, music is full of fractals and many classical works by Beethoven, Bach and Mozart work with this concept in their compositions. With the constant presence of these patterns in our environment, although unnoticed for a long time, very soon this interest made the leap into art. The plastic transposition of this idea opened a world of expressive possibilities still to be explored, even more in abstract works, where the game of geometries seemed to be running out.

M. C. Escher, “Smaller & Smaller”, 1956

Among the first artists who worked with this concept, we must mention Escher. His production is difficult to classify, although there is a clear interest in drawing and engraving, with which he channelled his intellectual restlessness and expositions of opposite terms, like the infinite versus the limited, the black and white, the misunderstandings, the double reading symmetries... Although the most famous works of this author are those that present optical games and visual paradoxes, he also investigated fractals with works that synthesize this concept perfectly, even though it had not been first used yet.

Jackson Pollock, “Number one”, 1950

Jackson Pollock's painting is also said to contain an infinity of fractal structures. The fascination that this artist has always raised, with such a short life and such a large production, led Australian scientists Richard P. Taylor, Adam P. Micolich and David Jonas to undertake a detailed study of his work in 1999. The work of this representative of abstract expressionism bases on the technique "drip and splash", drawing lines and spots by dripping and throwing paint on the canvas. The conclusion is that the fractal proportion of his painting increases with the years and gains perfection, and thus, we keep the same chaotic sensation of spread pattern whether we observe a detail of one of his works or the piece as a whole.

Kerry Mitchell, “Jungle”, 1998

Beyond these examples of traditional art, many contemporary creators approach their works from computer-made compositions where the presence of fractal algorithms combined with the changes of colour originates shocking images. For this reason, fractal art appears intimately connected with computational art, a new trend in which creators who usually have a previous background in the world of science or computer science stand out. We can mention as examples Scott Draves, William Latham, Greg Sams or Kerry Mitchell.

ART MADRID’ 26: 21 YEARS OF CONTEMPORARY ART

Discover all the information about the artists and galleries participating in the 21st edition of Art Madrid. The catalog features a curated selection of the works presented in this edition, along with the most relevant details of the event, making it an essential tool for engaging with the fair’s key figures and exploring the defining elements of today’s art scene.

In 2026, Art Madrid celebrates its 21st edition, further establishing itself as a leading event within Spain’s cultural sector. From March 4 to 8, the Galería de Cristal of the Palacio de Cibeles will once again become a meeting point for galleries, collectors, artists, and contemporary art enthusiasts.

Over the past twenty-one years, the fair has evolved into a dynamic and ever-expanding platform, fostering diversity in artistic languages, techniques, and discourses. In this edition, the Galleries Program brings together around 35 exhibitors from more than seven countries, offering a representative overview of the most recent developments in contemporary creation.

The Art Madrid ’26 catalog serves as a key publication for discovering the work of this edition’s galleries and artists —marked by experimentation and a plurality of perspectives— while also documenting the conceptual axes that shape the fair. As part of the Parallel Program, INHABITING THE EPHEMERAL: A Reflection on the “Species” of Spaces proposes a reflection on space, relationships, and shared experience, expanding the understanding of the fair beyond its commercial dimension and highlighting its cultural and experiential significance.

In addition, the catalog presents the initiatives that complete the program, such as the Open Booth dedicated to emerging creation, the Nebrija Space in collaboration with Nebrija University, the Performance Series “Open Infinite. What the Body Remembers,” the One Shot Collectors Program, and the Patronage Program, reaffirming the fair’s commitment to supporting, mediating, and accompanying contemporary art at every stage.

We invite you to discover more about Art Madrid ’26 through the catalog of its 21st edition — a publication that, beyond serving as documentary memory, becomes a cartography of the present artistic moment and an open door to new ways of inhabiting contemporary art.