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Pattern

math Maturity 13-18 Next article →

A pattern is a regularity that repeats in a predictable way. You can find patterns in the world, in human designs, or even in abstract ideas. Some patterns are easy to see with your eyes, like a drawing on a shirt. Other patterns, like those in science or math, might only be found through careful study.

Foam - big
Foam - big

These patterns can be found in nature, art, and even in the way we use language. They help us organize information and make sense of what we see. Because they repeat logically, we can often guess what might come next.

Nature is full of amazing and different kinds of patterns. Some living things have symmetry, which means their parts match like a mirror image. Animals that move often have bilateral symmetry to help them travel. Many flowers and sea anemones have radial symmetry, where parts grow around a center.

Aloe polyphylla spiral
Aloe polyphylla spiral

You can also find spirals in the shells of molluscs or in a pineapple. Even things like cracks in mud or tree bark follow specific patterns. These cracks happen to relieve stress in the material.

Cracked earth in the Rann of Kutch
Cracked earth in the Rann of Kutch

Mathematics is often called the "Science of Pattern" because it looks for regularities. A mathematical pattern can be a sequence of numbers or the result of a function. One special kind of pattern is called a fractal. A fractal is scale-invariant, which means the shape looks similar no matter how much you zoom in.

Fractal fern explained
Fractal fern explained

This is called self-similarity, and you can see it in the shape of a fern or a coastline. Even the way wind moves over sand to create dunes follows a predictable pattern.

Sand dune ripples
Sand dune ripples

History shows us how people have used patterns for a long time. In the decorative arts, people make patterns for ceramics, textiles, and wallpaper. Architects also use patterns to make buildings look beautiful or grand.

Enderun library Topkapi 42
Enderun library Topkapi 42

They might repeat shapes like windows, columns, or pediments. In some places, like temples in South India, the patterns repeat in a fractal-like way at different sizes.

Hampi1
Hampi1

This helps organize the structure of the building in a consistent way.

Patterns help us understand how the entire universe works. For example, the rising and falling of the sun is a pattern caused by the Earth's rotation. The moon's path through the sky is another regular pattern from its orbit.

First Snowfall (38115232341)
First Snowfall (38115232341)

Scientists use math to describe these general patterns of the universe. Even complex things like turbulence or waves in the sea follow rules. By studying these regularities, we can better predict what will happen in the future.

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🖼️ Images & Media (11)
File:First Snowfall (38115232341).jpg
First Snowfall (38115232341).jpg
File:Aloe polyphylla spiral.jpg
Aloe polyphylla spiral.jpg
File:Vortex-street-1.jpg
Vortex-street-1.jpg
File:Sand dune ripples.jpg
Sand dune ripples.jpg
File:Mönster - Sand - Brädor - 2021.jpg
Mönster - Sand - Brädor - 2021.jpg
File:Foam - big.jpg
Foam - big.jpg
File:Cracked earth in the Rann of Kutch.jpg
Cracked earth in the Rann of Kutch.jpg
File:Enderun library Topkapi 42.JPG
Enderun library Topkapi 42.JPG
File:Hampi1.jpg
Hampi1.jpg
File:Evening columns Zeus temple Athens.jpg
Evening columns Zeus temple Athens.jpg
File:Fractal fern explained.png
Fractal fern explained.png
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