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Unbroken – draw it in one line

Draw every line in one go, without lifting your finger. Some can’t be done. Spot them.

Today’s figuresFigure 1 of 5
Time0:00

Your record

–TODAY
0LEVELS DONE
0DAY STREAK

How to play

  1. 1

    Start on any dot and slide your finger along a line to the next dot. Tapping dot after dot works too.

  2. 2

    Use every line exactly once and never jump. The whole figure becomes one unbroken line. Got stuck? Undo or start over.

  3. 3

    Some figures can’t be done at all. If you think so, tap Can’t be done. In Today’s 5 a wrong call loses that figure, so be sure.

Questions

Is there a trick to tell which ones can’t be done?

Yes, and it is a famous one. Count the lines at each dot. If more than two dots have an odd number of lines, the figure can’t be drawn in one line. If exactly two do, start at one of them and you will end at the other. If none do, start anywhere. Leonhard Euler found this in 1736 with the bridges of Königsberg.

What do the age bands mean?

Levels come in three bands of 200: ages 6 to 8 have small figures with a few lines, ages 9 to 12 have bigger ones with crossings, and 13 and up has big figures that trap a careless start. Anyone can play any band.

Is it the same for everyone?

Yes. Everyone gets the same five figures each day, from a small one to two big ones. Your score is how many you got right and how long it took. Levels are the same for everyone too.

Why is the line rainbow coloured?

The colour runs from red to violet in the order you drew, so you can see where you started and how the line travelled.

Is it good for kids?

It is a gentle way to practise planning ahead and spotting patterns, and the trick behind it is real maths (graph theory). Start kids on the Ages 6–8 levels and let them find the trick themselves.

How to play Unbroken

Draw the whole figure as one unbroken line. Start on any dot and slide (or tap) from dot to dot along the lines. Every line must be used exactly once, and you can’t jump to another dot.

Some figures can’t be drawn in one line at all. When you think a figure is one of those, tap Can’t be done. In Today’s 5 a wrong call loses that figure and shows you a way to draw it.

Today’s 5 is the same for everyone and scores how many you got right and your time. Levels have three age bands and a Hint button.