Resources - Christchurch Maths Craft Day



The instructions for folding a Sonobe unit can be downloaded here. These Sonobe units can be assembled into a cube following these instructions. Instructions and videos for assembling Sonobe units into other polyhedra can easily be found online.


Möbius Strips

A Möbius strip is a surprising object; it’s a surface with only one edge and one side. Instructions for making and investigating paper Möbius strips can be found here. You can even make entwined Möbius hearts.



Crochet a Möbius strip using either of two different methods. Or crochet a hyperbolic plane, a surface with constant negative curvature which minimises volume while maximising surface area. Not sure how to crochet or need a reminder? Start with our handout on useful crochet stitches



A trihexaflexagon is a folded paper polygon with a hidden side that is revealed when the paper is flexed. Make one using our template and instructions, and then follow this guide to flexing your trihexaflexagon. 



We have three mathematical colouring and drawing sheets. The Four Colour Theorem is a famous and once controversial result in mathematics. You can also try your hand at colouring our curves of pursuit or even drawing them yourself using our instructions and template. For more mathematical colouring, try this book.


String Art

Make curves from straight lines to form intricate designs. These lines can be drawn on paper or made from string. We have instructions for creating string art (along with a template). You can also create circular string art and we have a template to help.


Menger Sponge

Fractals are mathematical objects built from repeated copies of themselves. Create a fractal sculpture from business cards. Start building with these instructions, and then follow these instructions to assemble the sculpture. Here's more information on fractals from Think Maths, the people behind the MegaMenger project. 


Penrose Tiles

A Penrose tiling is a non-periodic tiling named after Sir Roger Penrose. The tiles used at the Maths Craft Day are called the "kite" and "dart", which give an aperiodic tiling when following a simple set of rules.