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Something that repeats

What Is a Pattern?

A pattern is a rule that keeps going — spot the rule and you can predict what comes next.

1 Red, blue,red, blue2 Spot the rule3?Predict whatcomes next
Prediction is the whole point.
  1. Step 1 of 5

    A pattern has a repeating unit.

    Red, blue, red, blue,red, blueThe repeating unit isred-blueEverything else isthat again
    Find the unit and the rest of the row stops being information.

    Red, blue, red, blue. The bit that repeats is red-blue. Find that unit and you have found the pattern.

  2. Step 2 of 5

    Patterns let you skip ahead.

    Without the rule Count out all fiftyWith the rule Answer straight away

    You do not need to lay out fifty beads to know the fiftieth is blue. The rule tells you, instantly, without doing the work.

  3. Step 3 of 5

    Number patterns work the same way.

    2, 4, 6, 8 — therule is add two 10, 12, 14, andon for everName the rule and the sequence never runs out

    2, 4, 6, 8 — the rule is add two. 1, 2, 4, 8 — the rule is double. Once you name the rule you can continue forever.

  4. Step 4 of 5

    Patterns appear in nature too.

    Petals in the samespiralHoneycomb: hexagonsevery timeStripes repeatingdown a tigerA shell curling byone rule
    A tiger's stripes come out of a single chemical rule spreading across the skin

    Petals, honeycomb cells, tiger stripes, the spiral of a shell. Nature repeats rules because repeating rules are efficient to build.

  5. Step 5 of 5

    Spotting patterns is what maths is.

    1 Noticesomethingrepeats2=Write down therule3 Use it topredict

    Every formula is a pattern written down. Noticing that something always happens, then proving it must, is the whole business.

    Human brains find patterns so eagerly that we often see them in random noise — like faces in clouds.

The short version

A pattern is a repeating rule, and naming the rule lets you predict without doing the work.

Try it yourself

Start a clapping pattern and stop halfway through. Watch how quickly someone else finishes it correctly.

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