Hexagons, fractals, and flows: nature’s patterns inspire humans

Golden Ratios

In nature, we regularly discover the golden ratio, a mathematical sample that seems in repetitive and strategic development types in nature. One instance is the logarithmic spiral, current within the shells of some mollusks, elephant tusks, feline claws, or sunflower heads.

Hexagons

Honeybees construct hexagonal cells as a result of it’s the best approach to cowl a floor with out leaving gaps utilizing the minimal materials. This pure sample has impressed many purposes in fields akin to structure, building, trade, and aeronautics.

Fractals

A fractal is a construction that repeats the identical sample at totally different scales. In nature, fractality isn’t just an aesthetic curiosity, however a really clever approach to manage obvious chaos, distribute sources effectively, and adapt to advanced environments.

Roots, fractal explorers

The soil is a medium stuffed with irregularly distributed obstacles. Therefore, the roots of many vegetation undertake fractal constructions. From the primary root to the best ones, they make branches at totally different scales to higher discover the soil and soak up water and vitamins to the utmost.

Aquatic vegetation, nonetheless, don’t observe this sample, as a result of they dwell in a extra homogeneous medium.

Natural engineering to optimize flows

Trees are consultants at optimizing sources and vitality. Therefore, their vascular system is distributed in a extremely optimized approach to effectively transport water and vitamins from the roots to each vein within the leaves. The nervous system of the human physique additionally follows this sample!

The physique of arthropods

It is fashioned by an exoskeleton, a protect of chitin that protects them. At the identical time, this physique construction forces them to have a really small measurement and they can not develop to giant dimensions like vertebrates. Because they’re so small, their respiratory system is fashioned in fractal patterns to breathe extra effectively. In the case of terrestrial ones they’ve a set of tracheae and in aquatic ones, gills.

Living to the rhythm of prime numbers

There are animals which have developed mathematically to outlive. Periodic cicadas, for instance, emerge each 13 or 17 years, primarily based on prime numbers. These intervals reduce coincidences with predators which have shorter, common reproductive cycles, and make it almost unattainable for them to synchronize.

Predator-prey patterns

Turing’s prey-predator mannequin explains how, from the interplay between prey and predators, and the truth that they transfer otherwise by the territory, types can seem within the distribution of fauna, akin to patches or stripes. When there are too many predators collectively, they hassle one another and disperse, and this creates patterns that don’t all the time observe the issue of extra prey. In ecology, simulations are carried out to look at these patterns and perceive how small adjustments in conduct can find yourself shaping the panorama.

Centre for Ecological Research and Forestry Applications