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.

At the most recent edition of Art Madrid, artist Luis Olaso (Bilbao, 1986), represented by Kur Art Gallery (San Sebastián), received the Residency Prize of the Art Madrid Patronage Program. This award, the result of a collaboration between Art Madrid, DOM Art Residence, and the Italian association ExtrArtis, enabled him to undertake an artistic residency in Sorrento (Italy) in August 2025.

Through initiatives like this, the fair reaffirms its support for contemporary creation—a commitment aimed at increasing artists’ visibility and strengthening art collecting through concrete actions such as acquisition prizes, recognition of emerging talents, and international residencies.

Artists in Residence. DOM & ExtrArtis. Image courtesy of Agata D’Esposito.

The DOM & ExtrArtis 2025 Residency Program took place in Sorrento from August 1 to 31, 2025. The artists lived together at Relais La Rupe, a 16th-century villa surrounded by cliffs and centuries-old gardens, which became an ideal setting for experimentation and exchange.

In this edition, residents worked around the theme “Reimagining Genius Loci”, an invitation to reflect on how the movement of people and traditions transforms the “spirit of place.” During the residency, DOM organized two public group exhibitions: the first to present the artists’ previous work, and the second to showcase the projects developed in Sorrento.

Work by Luis Olaso. DOM & ExtrArtis. Image courtesy of Agata D’Esposito.

Luis Olaso’s work moves between expressionist figuration and abstraction, always employing a pictorial language charged with strength and emotion. Initially self-taught, he later graduated in Fine Arts and has developed a solid international career, with exhibitions at venues including JD Malat (London) and Makasiini Contemporary (Turku, Finland), and participation in fairs such as Untitled Miami, Estampa, and Art Madrid itself.

His work is part of prestigious collections, including the Tokyo Contemporary Art Foundation, Fundación SIMCO, and the Provincial Council of Bizkaia, and has been recognized in competitions such as the Reina Sofía Prize for Painting and Sculpture and the Ibercaja Young Painting Prize.

In Sorrento, Olaso found a unique context to expand his pictorial research, engaging in dialogue with the Mediterranean landscape and the region’s historical heritage. The residency provided him with time, resources, and a framework for exchange with other international artists, fostering the production of new works that were later presented in the group exhibitions organized by DOM.

Luis Olaso working on his project. DOM & ExtrArtis. Image courtesy of DOM.

Luis Olaso’s experience at DOM Art Residence concluded with a public showcase of the works produced, reinforcing his presence on the international circuit and consolidating his position as one of the most prominent Basque artists on the contemporary scene.

Through initiatives such as this, Art Madrid demonstrates its active role as a platform for direct support of contemporary creation, creating opportunities for research, production, and intercultural dialogue that extend beyond the fair itself and accompany artists in their professional development.