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.

Daniel Barrio. Guest artist of the third edition of OPEN BOOTH. Courtesy of the artist.

DESPIECE. PROTOCOLO DE MUTACIÓN

As part of the Art Madrid’26 Parallel Program, we present the third edition of Open Booth, a space conceived as a platform for artistic creation and contemporary experimentation. The initiative focuses on artists who do not yet have representation within the gallery circuit, offering a high-visibility professional context in which new voices can develop their practice, explore forms of engagement with audiences, and consolidate their presence within the current art scene. On this occasion, the project features artist Daniel Barrio (Cuba, 1988), who presents the site-specific work Despiece. Protocolo de mutación.

Daniel Barrio’s practice focuses on painting as a space for experimentation, from which he explores the commodification of social life and the tyranny of media approval. He works with images drawn from the press and other media, intervening in them pictorially to disrupt their original meaning. Through this process, the artist opens up new readings and questions how meaning is produced, approaching painting as a space of realization, therapy, and catharsis.

Despiece. Protocolo de mutación is built from urban remnants, industrial materials, and fragments of history, inviting us to reflect on which memories we inherit, which we consume, and which ones we are capable of creating. Floors, walls, and volumes come together to form a landscape under tension, where the sacred coexists with the everyday, and where cracks matter more than perfection.

The constant evolution of art calls for ongoing exchange between artists, institutions, and audiences. In its 21st edition, Art Madrid reaffirms its commitment to acting as a catalyst for this dialogue, expanding the traditional boundaries of the art fair context and opening up new possibilities of visibility for emerging practices.

Despiece. Protocolo de mutación emerges from a critical and affective impulse to dismantle, examine, and reassemble what shapes us culturally and personally. The work is conceived as an inseparable whole: an inner landscape that operates as a device of suspicion, where floors, walls, and volumes configure an ecosystem of remnants. It proposes a reading of history not as a linear continuity, but as a system of forces in permanent friction, articulating space as an altered archive—a surface that presents itself as definitive while remaining in constant transformation.

The work takes shape as a landscape constructed from urban waste, where floors, walls, and objects form a unified body made of lime mortar, PVC from theatrical signage, industrial foam, and offering wax. At the core of the project is an L-shaped structure measuring 5 × 3 meters, which reinterprets the fresco technique on reclaimed industrial supports. The mortar is applied wet over continuous working days, without a pursuit of perfection, allowing the material to reveal its own character. Orbiting this structure are architectural fragments: foam blocks that simulate concrete, a 3D-printed and distorted Belvedere torso, and a wax sculptural element embedded with sandpaper used by anonymous workers and artists, preserving the labor of those other bodies.

A white wax sculptural element functions within the installation as a point of sensory concentration that challenges the gaze. Inside it converge the accumulated faith of offering candles and the industrial residues of the studio, recalling that purity and devotion coexist with the materiality of everyday life. The viewer’s experience thus moves beyond the visual: bending down, smelling, and approaching its vulnerability transforms perception into an intimate, embodied act. Embedded within its density are sanding blocks used by artists, artisans, and laborers, recovered from other contexts, where the sandpaper operates as a trace of the effort of other bodies, following a protocol of registration with no autobiographical intent.

Despiece. Protocolo de mutación addresses us directly, asking: which memory do we value—the one we consume, or the one we construct with rigor? The audience leaves behind a purely contemplative position to become part of the system, as the effort of moving matter, documentary rigor, and immersive materiality form a body of resistance against a mediated reality. The project thus takes shape as an inner landscape, where floor, surface, and volume articulate an anatomy of residues. Adulteration operates as an analytical methodology applied to the layers of urban reality, intervening in history through theatrical and street advertising, architectural remnants, and administrative protocols, proposing that art can restore the capacity to build one’s own memory, even if inevitably fragmented.

ABOUT THE ARTIST

DANIEL BARRIO (1988, Cuba)

Daniel Barrio (Cienfuegos, Cuba, 1988) is a visual artist whose practice articulates space through painting, understanding the environment as an altered archive open to critical intervention. He studied at the Academy of Fine Arts of Cienfuegos (2004–2008), specializing in painting, and later at the Madrid Film School (ECAM, 2012–2015), where he studied Art Direction. His methodology integrates visual thinking with scenographic narrative.

His trajectory includes solo exhibitions such as La levedad en lo cotidiano (Galería María Porto, Madrid, 2023), Interiores ajenos (PlusArtis, Madrid, 2022), and Tribud (Navel Art, Madrid, 2019), as well as significant group exhibitions including Space is the Landscape (Estudio Show, Madrid, 2024), Winterlinch (Espacio Valverde Gallery, Madrid, 2024), Hiberia (Galería María Porto, Lisbon, 2023), and the traveling exhibition of the La Rioja Young Art Exhibition (2022).

A member of the Resiliencia Collective, his work does not pursue the production of objects but rather the articulation of pictorial devices that generate protocols of resistance against the flow of disposable images. In a context saturated with immediate data, his practice produces traces and archives what must endure, questioning not the meaning of the work itself but the memory the viewer constructs through interaction—thus reclaiming sovereignty over the gaze and inhabiting ruins as a method for understanding the present.