Patterns in nature
Patterns in nature are visible regularities of form found in the natural world.
These patterns recur in different contexts and can sometimes be modelled mathematically.
Description
Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, fractures, and stripes.
Early Greek philosophers studied pattern, with Plato, Pythagoras, and Empedocles attempting to explain order in nature. The modern understanding of visible patterns developed gradually over time.
In the 19th century, Belgian physicist Joseph Plateau examined soap films, leading him to formulate the concept of a minimal surface. German biologist and artist Ernst Haeckel painted hundreds of marine organisms to emphasise their symmetry. Scottish biologist D'Arcy Wentworth Thompson pioneered the study of growth patterns in both plants and animals, showing that simple equations could explain spiral growth.
In the 20th century, British mathematician Alan Turing predicted mechanisms of morphogenesis which give rise to patterns of spots and stripes. Hungarian biologist Aristid Lindenmayer and French American mathematician Benoît Mandelbrot showed how the mathematics of fractals could create plant growth patterns.
Mathematics, physics, and chemistry can explain patterns in nature at different levels. Patterns in living things are explained by the biological processes of natural selection and sexual selection. Studies of pattern formation make use of computer models to simulate a wide range of patterns.
See also
- D'Arcy Wentworth Thompson
- Emergence
- Evolutionary history of plants
- Mathematical model
- Mathematics and art
- Pattern
- Symmetry
- Widmanstätten pattern
External links
- Patterns in nature @ Wikipedia
