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.

ABIERTO INFINITO. LO QUE EL CUERPO RECUERDA. CICLO DE PERFORMANCE X ART MADRID'26

Art Madrid, committed to creating a discursive platform for artists working within the field of performance and action art, presents Abierto Infinito: lo que el cuerpo recuerda, a proposal inspired by Erving Goffman’s ideas in The Presentation of Self in Everyday Life (Amorrortu Editores, Buenos Aires, 1997).

The project unfolds within a theoretical framework that directly engages with these premises, conceiving social interaction as a stage of carefully modulated performances designed to influence others’ perceptions. Goffman argues that individuals deploy both verbal and involuntary expressions to guide the interpretation of their behavior, sustaining roles and façades that define the situation for those who observe.

The body — the first territory of all representation — precedes both word and learned gesture. Human experience, conscious and unconscious alike, is inscribed within it. Abierto Infinito: lo que el cuerpo recuerda departs from this premise: representation inhabits existence itself, and life, understood as a succession of representations, transforms the body into a space of constant negotiation over who we are. In this passage, boundaries blur; the individual opens toward the collective, and the ephemeral acquires symbolic dimension. By inhabiting this interstice, performance simultaneously reveals the fragility of identity and the strength that emerges from encounter with others.

PERFORMANCE: TRAYECTORIA. BY AMANDA GATTI

March 6 | 7:00 PM. Galería de Cristal of the Palacio de Cibeles.

Amanda Gatti. Escaparate. 2023. DT-Espacio. Photograph by Pedro Mendes.

The proposal expands Amanda Gatti’s research initiated in La Plasti Ciudad del Cuerpo — an ongoing series of performance and installation presented since 2023 in spaces such as Fundación Antonio Pérez, Galería Nueva, CRUCE, and the Acción Spring(t)/UCM Congress — where she explores the relationship between her body and objects found in urban space. There, body and materials are articulated through a constant negotiation between functionality, weight, and support, generating temporary architectural compositions.

In Trayectoria, this research shifts toward the act of dragging: a gesture that makes visible the friction between body, objects, and space. The corridor ceases to be a neutrality to be crossed and becomes an operative intermediate zone, where form and content — veil and what is veiled, as Walter Benjamin points out — become confused. The space, saturated with objects turned into a mobile chain, clears and remakes itself with each step. Clearing, for Benjamin, is already an experience of space: each advance sustains this unfinished separation, always oriented toward a destination that may never be reached.

La Plasti Ciudad del Cuerpo #3. Amanda Gatti. Performance documentation. CRUCE 2054 exhibition, Galería CRUCE. Photograph by Pedro Mendes.

Displacement is not limited to material friction: it also becomes a symbolic inscription of that which every life trajectory drags along. The objects — remnants of past uses — function as metaphors for what remains attached to the body even when it no longer serves any function. The performance makes visible the condition of moving forward while carrying heterogeneous weights: material, affective, social. Thus, the gesture of walking linked to these objects turns the route into a writing in motion, where each step simultaneously activates a physical transit and a vital transit. Trayectoria proposes that every life is also a dragging: a continuous recomposing from what we insist on carrying with us.

The action operates objects as verbs: to push, to tense, to trip, to pull. From it emerges an operativity that involves the entire body and exceeds the visual. The image ceases to be representation and becomes gesture: a gesture that founds new spatial forms, that overflows, that produces an ephemeral mode of reappropriation of the corridor.

The trajectory thus becomes an affective map inscribed in the body, a way of merging with the environment by putting past and future, durability and wear, utility and obsolescence into friction. The action returns to public space what was taken from it, but now stripped of function: freed from meaning, freed from commodification, freed to be imagined otherwise.

ABOUT AMANDA GATTI

Amanda Gatti (1996, Porto Alegre, Brazil) is an artist and researcher whose practice unfolds across performance, video, photography, and installation. She explores the intersections of body, object, and space, investigating how we occupy — and are occupied by — the spaces around us. Drawing from experiences of displacement and the observation of domestic and urban environments, her work conceives the body as mediator and archive, transforming found objects, spatial arrangements, and everyday gestures into ephemeral architectures and relational situations.

She studied the Master’s in Scenic Practice and Visual Culture at Museo Reina Sofía/UCLM (Spain, 2023) and the Bachelor’s degree in Audiovisual Production at PUCRS (Brazil, 2018), where she received scholarships such as the Santander Universities grant. In Spain, her work has been presented in institutions and contexts such as Museo Reina Sofía, Fundación Antonio Pérez, Galería Nueva, CRUCE, and Teatro Pradillo, as well as in exhibitions and festivals in Brazil, Germany, Ireland, the United Kingdom, and the United States. She currently resides in Madrid, with secondary bases in Brazil and the United Kingdom.