Fractals: they’re famously found in nature and artists have created some incredible renderings as well. Fractals are purely a wonder - too irregular for Euclidean geometry; iterative and recursive and seemingly infinite. They turn up in food and germs, plants and animals, mountains and water and sky. Here are seventeen stunning examples:
Sea shellsThe nautilus is one of the most famous examples of a fractal in nature. The perfect pattern is called a Fibonacci spiral.
Snow flake
LightningLightning’s terrifying power is both awesome and beautiful. The fractals created by lightning are fascinatingly arbitrary and irregular.
RomanescuA special type of broccoli, this cruciferous and tasty cousin of the cabbage is a particularly symmetrical fractal. Cook it for your favorite mathematician.
FernThe fern is one of many flora that are fractal; it’s an especially good example.
Queen Anne’s LaceThe delicate Queen Anne’s Lace, which is really just wild carrot, is a beautiful example of a floral fractal. Each blossom produces smaller iterative blooms. This particular image was shot from underneath to demonstrate the fractal nature of the plant.
BroccoliThough not as famously geometric as its relative the Romanescu, broccoli is also a fractal.
PeacockMales of both the white peacock and standard peacock variety are resplendent examples of fractals in the animal kingdom. Trivia: the white peacock is not an albino.
PineappleThe pineapple is an unusual fruit that is, in fact, a fractal. Though often associated with Hawaii the fruit is a native of southern Brazil.
CloudsLook outside your window - you may see a fractal cloud at any moment.
CrystalsBoth chemically-formed crystals and ice and frost crystals are breathtaking examples of fractals in nature.
MountaiMountain rangesBoth shorelines and mountain ranges are considered loosely fractal. These particular examples are beautiful.n rangesBoth shorelines and mountain ranges are considered loosely fractal. These particular examples are beautiful.
Trees and LeavesFrom the macro view of a leaf to the span of a tree’s branches, fractals turn up frequently.
ShorelinesThis stunningly complex fractal shoreline is none other than the pan handle of Florida.
Rivers and fjordsFrom the midwest of the United States to the icy fjords of Norway, fractals are often viewed by airline passengers - these particular travelers were savvy enough to snap photographs.
Sea urchins and sea starsSea urchins are compact, almost artistic little creatures; sea stars are more commonly referred to as starfish.
Stalagmites and stalactitesBy now you know that stalagmites shoot up from the ground while stalactites form overhead.
