![]() ![]() Self-organize pretty well and can produce pretty good quality olive oil when Of olive trees is pretty fractal,” he says of the grove at his Tuscan home. “Our inner fractals can resonate with the outer fractals, and we can have a kind of continuity and a sense of wholeness with the environment,” says Franco Orsucci, a leading clinical scientist and professor at the University College London who has focused his research on fractals since the 1980s’ Mandelbrot heyday.įractals have been a bedrock principle of Orsucci’s numerous journal articles, examining everything from the relationship between happiness and deep ecology to the stimulation of the brain’s alpha waves to enhance heart-rate variability.Įven his hobbies cannot escape the fractal grasp. Some current examples being researched and considered are hanging landscape or fractal-based art in hospital rooms, incorporating time in nature into the treatment of trauma patients, and sending images of fractals into space with astronauts, to give them a source of grounding and natural respite. “If we understand this more in detail, maybe we could design particular environments, with fractal sounds or visual fractals to help people with particular specific needs,” she says. “That’s a little bit like the biophilia hypothesis where you can say, okay, the reason why we respond positively or feel affiliation to these fractal patterns is, perhaps, because we are also, ourselves, a fractal object in a sense,” says Swedish landscape architect and environmental psychologist Caroline Hägerhäll, who has worked closely with Taylor throughout her career and employs in her work a rigorous understanding of the interlinkages between fractal geometry and the restorative properties of nature. The dimension of 1.5 lands squarely in the middle of the fractal dimension range that falls between but is not equal to 1 and 2, with the latter indicating more complex fractals in two dimensions (in three dimensions, fractal dimensions fall between but are not equal to 2 and 3), like capillaries in lungs, neural networks and brainwave oscillations, or the slightly irregular repetition of the human heartbeat. The island-like drips in Jackson Pollock’s abstract expressionist paintings, Taylor has found, also display a dimension of 1.5, and he’s subsequently found that people are more readily drawn to Pollock’s paintings than other pieces of abstract expressionism created with less organized construct in their chaos. ![]() Dale Cruse, FlickrĪlbatross and sharks, when circling over or in a body of water in search of a fish dinner, will cover the territory with a pattern of the same fractal dimension of 1.5. A drip-painting of abstract expressionist artist Jackson Pollock. It rather moves in a “mid-fractal trajectory,” in a pattern of small and long jumps, so as to cover the whole image in the most efficient manner. This means that it neither moves randomly across the image, nor moves across it from one side to the other in an organized way. American physicist Richard Taylor, who applies fractal understanding to the development of nanoelectronics, led a group of scientists in conducting extensive eye-tracking tests, finding that if the human eye is given an image it has never seen before, it will scan it with a fractal dimension of D = 1.5. Like the novel coronavirus? Spread with the branched repetition of fractals.īefore it gets too grand, let’s look at the self-repeating patterns in our own nature. ![]() The viral sharing of something on social media – or epidemics The computer-generated landscapes in videogames and films? Designed withįractal geometry. What they are, you’ll begin recognizing them everywhere. The thing about fractals is that once you get a sense of Pavel Golubovskiy, Flickr Sights (un)seen The cylindrical fractals of the Epithelantha bokei species of cactus. These are all the self-repeating, non-linear patterns of fractals. Waterfalls, a view of endless mountains, a head of radicchio sliced in half, theĭistribution of galaxies, the lines and veins in the palm of your hand. It’s hypnotic and trippy, as soothing and ruminative as staring Is the Mandelbrot set, a visual self-repeating pattern that zooms in on itself to The most accessible demonstration of Mandelbrot’s geometry ![]() To the natural sciences, social media to medicine, and climatology to human psychology. Scientists, and theoreticians from all disciplines – from art to astrophysics, economics Philosophical foundation for fractal theories that have since been adopted by analysts, In the 1980s while working at IBM, Mandelbrot aroseĪs a singular pioneer into the fractal universe, publishing the seminal work Theįractal Geometry of Nature, which laid the mathematical and Mandelbrot, rooted in the Latin word “fractus,” which means “broken glass,” the The term fractal was coined by Polish-born mathematician Benoit ![]()
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