Title: "Fractal Symphony"
This painting visually explores random systems and anomalous diffusion, blending structural chaos with mathematical elegance. The central figure, immersed in erratic glowing pathways, symbolizes humanity’s enduring quest to decode the complexities of mathematics. Golden swirling lines represent unpredictable particle motion, diverging from classical diffusion models to mirror stochastic behaviors in nature.
Fractal elements, such as the Koch snowflake, emphasize self-similarity and infinite complexity, revealing hidden order within apparent randomness. Scattered luminous orbs highlight the probabilistic nature of movement, where particles follow irregular paths rather than uniform trajectories. Floating clocks displaying disjointed times symbolize nonlinear temporal evolution in dynamic systems—time bends and fractures, reflecting the essence of chaotic processes.
The stark contrast between deep blues (symbolizing cosmic order) and vibrant yellows (embodying chaotic energy) heightens visual tension, illustrating the delicate balance between control and spontaneity. By embracing the paradox of mathematical unpredictability—where randomness coexists with latent patterns—the artwork invites viewers to contemplate the unseen forces shaping our universe.
At its core, this piece merges art and science, visualizing abstract concepts like fractal geometry and stochastic dynamics. It challenges perceptions of chaos as mere disorder, framing it instead as a symphony of intricate mathematical beauty, urging observers to seek harmony in the dance between structure and randomness.
My work "Cold water" is an artistic journey into the world of unexpected space, where the boundaries between a flat image and three-dimensional reality become blurred. I use an autostereogram as a tool to explore the complexity of human perception, showing how our consciousness creates space where seemingly there is none.
Inspired by Slavic Easter egg symbolism - the pattern from their traditional decorations was transformed into a key to hidden depth. Each element of the work is a metaphor for the cognitive process: a seemingly chaotic pattern conceals a hidden, organized world that reveals itself only to those who can change their way of seeing.
The autostereogram technique is, for me, an analogy to human perception - it requires suspending the existing way of seeing, transcending the limits of the senses. To see the hidden image, one must learn to look differently - not directly, but through the image, focusing the gaze beyond it. This experience becomes a metaphor for a broader reflection on reality perception: what is invisible is often more fascinating than what is obvious.
The work combines mathematical precision with artistic intuition, showing that the boundary between science and art is much more permeable than we might think. It is an invitation to discover unknown spaces - both in the image and in our way of thinking.
Video drive.google.com/file/d/1XjtOjxS_WMaFtA6Ae9EOq5F6sTXcq0TU/view?usp=sharing
Title: Fractal motion patterns screen cast
Use your phone to film your computer screen. Make sure the computer screen is displaying what your phone is capturing. Try to slowly move and rotate your phone around your computer screen at the same time. Thanks to proper screen size ratio, repetitive screen casting, and shot latency, you will be able to see the elegant fractal motion patterns in the screen.
The artwork ‘All About Diffusion’ explores the multifaceted nature of diffusion through a surreal yet scientifically inspired illustration. The illustration intertwines multiple layers of diffusion phenomena: the tea dispersing into water, the aromatic bubbles of tea scent rising into the air, the digestive process of people enjoying afternoon tea, and the natural patterns of the leopard’s coat. Atop the leopard’s back, a mathematician diligently calculates, bridging abstract theory with observable phenomena.
This artwork visualizes the ubiquity of diffusion in both the physical and biological realms, from molecular movement to ecological patterns. It not only celebrates the beauty of randomness and the elegance of mathematical frameworks that seek to understand it, blending art, science, and imagination into a single narrative, but also invites viewers to contemplate the unseen forces that shape both the natural world and everyday experiences.
The artwork presents a nonlinear, complex self-organizing structure that has a profound connection with the mathematical concepts of "anomalous diffusion and stochastic systems." Its texture and form exhibit a dynamic growth characteristic, resembling stochastic processes and fractal patterns in mathematics. The folds and interwoven elements of the fabric symbolize uncertainty in probability theory, while the overall structure echoes the irregularities found in non-standard diffusion models. This piece not only embodies the intersection of mathematics and art but also conveys a visual representation of mathematical patterns in the real world, offering new possibilities for interdisciplinary collaboration between mathematicians and artists.
The artwork 'The Brownian motion paper', is an academic paper like document (pdf), about Brownian motion (thanks Wikipedia), with it's own words themselves moving according to Brownian motion.
The pdf only runs with Adobe Acrobat Reader, since it uses .gif content for animations. When opening, animation should start automatically. If not, try to start it with clicking somewhere on the document.
In my piece "Wings of the Equation", I explore the beauty of fluid dynamics. The artwork captures the chaotic yet elegant flow of colors surrounding a central sphere, evoking the delicate form of a butterfly’s wing. The sphere, suspended in an ocean of vibrant hues, represents the core of mathematical phenomena- where order and unpredictability coexist.
The fluidity of the strokes mirrors the unpredictable yet calculable nature of fluids in motion, as described by the Navier-Stokes equations. Swirls of color stretch and bend, mimicking the dynamic behavior of liquids and gases while simultaneously suggesting the precision underlying their movement. Each ripple and burst of color symbolizes a mathematical variable, transforming abstract equations into tangible beauty.
The butterfly wing motif, an emblem of transformation and impermanence, serves as a reminder of how mathematical principles shape the very fabric of nature. The artwork invites viewers to immerse themselves in the dance of chaos and order, where mathematics and art converge, capturing the elegance of fluid motion and the profound patterns hidden within.
In "Veil of Diffusion", I explore the concept of diffusive processes in mathematics, where particles or energy spread out over time, creating patterns that embody both chaos and order. The artwork captures this process visually: deep, dark purple paint, rich with intensity, begins in sharp contrast against a golden canvas. As the pigment disperses, it gradually dissolves into transparency, mirroring the way concentration fades over distance in a diffusive system.
The interplay of the dark purple with delicate gold rims symbolizes the boundary between chaos and order. This artwork is a reflection of the unseen forces governing our world, where even the smallest movement has a profound impact. Through this piece, I invite the viewer to witness both the fluidity of time and the intricacy of invisible processes, captured in the serene dance between dark and light, chaos and harmony.