Fractal patterns are complex, irregular, and fragmented shapes that repeat at increasingly fine magnifications. They are found in many natural objects, such as succulents, rivers, leaf veins, crystals, mountains, clouds, trees, fern leaves, fires, protein surfaces, and the distribution of matter in the universe. Fractals are also present in art and mathematics.
Fractal patterns are aesthetically pleasing and stress-reducing. They can help us understand many different areas of science, including crystal growth, earthquake processes, meteorology, and polymer structure. Fractal geometry can describe shapes that defy the smooth circles, cylinders, and cones of normal, Euclidean geometry.
Fractal dimension is a measure of the visual complexity of fractals. Biophilic fractal designs have been shown to promote health and performance by reducing physiological stress. Fractal fluency is a universal effect that describes peoples responses to fractals found in nature, art, and mathematics.
In summary, fractal patterns are complex shapes that repeat at increasingly fine magnifications and are found in many natural objects, art, and mathematics. They are aesthetically pleasing and stress-reducing, and can help us understand many different areas of science.
