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Join-In Summer 2022

We are very happy that you are here to Join-In with our Summer 2022 Project and Gallery: Infinity Tiles!

Maths on Toast’s Join-In projects and galleries offer everyone – families at home, community groups, libraries and schools – the opportunity to take part in collaborative, imaginative hands-on maths.

You will find all the information you need to get going on this page.

Truchet Tiles

Sebastien Truchet (1657-1729) was a Dominican priest who – inspired by the decorations he had seen on the French canals – developed a design concept. Truchet took 4 simple tiles and looked at ways to arrange them. He created designs based on the combinations he found and discovered that an infinite number of patterns could be created by altering the way he rotated and placed each tile.

Make your own Infinity Tiles

Why not try creating your own simple Truchet Tiles and see how many patterns you can come up with!

Or you can use two colours to make a more complex pattern to decorate your tiles using the template below and then cut them out. Can you design a maze, making a continuous line from one side to the other?

Apart from discovering never ending patterns, you’ll find yourself imagining how shapes and lines can rotate and fit together. Investigating in this way helps you discover how simple geometry can be used to create complex designs.

Check out the activity sheet and template at the bottom of this page to get started.

Infinity Tiles

Online Gallery

Share a picture of your work and we will add it to our online Infinity Tiles Gallery!
To be included in the gallery, email a picture of your work (with you if you like!) to info@mathsontoast.org.uk . You can be anonymous, give us your child’s first name and/or age or tell us your school class maybe – it’s up to you.

You could also post it on Twitter, Facebook or Instagram, tagging us @mathsontoast

And don’t forget to share and spread the word – we want everyone to Join-In!