Seeing is Believing
Some problems become much clearer when you find a good image to represent them, and some mathematical results can be proved beautifully with just a simple diagram.
We hope you will find plenty to inspire you here to draw your own diagrams as well as using our images to discover relationships and make connections.
![](https://wild.maths.org/sites/wild.maths.org/files/styles/thumbnail__320x180_/public/neighboursicon.jpg?itok=etC5s0u8)
Neighbours
This activity begins by inviting you to add pairs of consecutive numbers. What is the same about all the answers? Can you explain what is happening?
![](https://wild.maths.org/sites/wild.maths.org/files/styles/thumbnail__320x180_/public/media/photos/section_photos/showcase/dodecIcon.jpg?itok=L_dXzIx8)
Dodecagon dissection
Grab a ruler, paper and scissors, construct a dodecagon, and cut it up. Can you reassemble it in a way to help you find its area?
![](https://wild.maths.org/sites/wild.maths.org/files/ChocLollies.jpg)
Chocolate and Numbers
In this collection of activities, we invite you to create pictures or diagrams to represent numbers. Get your teeth into our chocolately challenges first!
![](https://wild.maths.org/sites/wild.maths.org/files/media/photos/section_photos/Visual_Proofs/check%20it%20out%20169.jpg)
Check it out
If you play chess or draughts, you'll be familiar with a chessboard, but a checked pattern can be used for so much more than playing board games...
![](https://wild.maths.org/sites/wild.maths.org/files/media/photos/section_photos/Visual_Proofs/BeyondDominoes.jpg)
Beyond Dominoes
A domino is made up of two squares joined together edge to edge. But what if we add more squares? Explore triominoes, tetrominoes, pentominoes and beyond!
![](https://wild.maths.org/sites/wild.maths.org/files/media/photos/section_photos/Visual_Proofs/MoveItIcon.jpg)
Move it to prove it
Sometimes, all you need to do to prove a mathematical result is look at it in the right way. Explore these tasks to see how moving shapes can help you to prove results.
![](https://wild.maths.org/sites/wild.maths.org/files/media/photos/section_photos/Visual_Proofs/CentredIcon.jpg)
Centred Shapes
Centred Shapes are made by building up a pattern of dots in a certain shape. Explore how centred shapes can fit together, and see how many patterns you can find!
![](https://wild.maths.org/sites/wild.maths.org/files/media/photos/section_photos/Visual_Proofs/PictureThisIcon.jpg)
Picture This
This collection of articles and videos explores how finding the right picture makes it easier to follow challenging mathematical ideas.