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The Guardian - UK
The Guardian - UK
Science
Alex Bellos

Did you solve it? Dot-to-dot puzzles that will drive you dotty

A head for networks
A head for networks. Photograph: Cienpies Design / Alamy/Alamy

Earlier today I set you the following dot-to-dot puzzles. You had to draw lines between the dots, with the constraint that the number by the dot determines the number of lines joining that dot.

Linking park
Linking park

I also said that any two dots can be linked by at most one line, and that for the 3-dot and 4-dot hexagons no lines could cross. Here are a set of solutions, but there are others.

A hexagon in braces skipping, a hexagon in braces and a sash showing off and a star.
A hexagon in braces skipping, a hexagon in braces and a sash showing off and a star.

The last challenge was to fill in this one with only two ‘repeat’ lines, which repeat a link between two dots.

Who eight the dots?
Who eight the dots?

Here’s a solution. Again, there are variations.

Eight dots minimal solution
Repeated lines in red.

Thanks again to James Tanton, co-founder of The Global Math Project, for these puzzles.

I post a puzzle here on a Monday every two weeks. If you are reading this on the Guardian app, click where it says ‘Follow Alex Bellos’ and you’ll get an alert when the next puzzle appears.

I’m the author of three popular maths books including Alex’s Adventures in Numberland and the maths colouring book Snowflake Seashell Star.

You can check me out on Twitter, Facebook, Google+, my personal website or my Guardian maths blog.

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