Design your own flexagon

This post explains how to make a trihexaflexagon with and images you like on the three faces.

Making the template

To make a flexagon template with your images on, visit On this page, you will be able to choose three images (png, jp(e)g or gif) which will appear on the faces of your flexagon. Once you have created the template, save and print the image it gives you.
The template may fail to load if your images are too large; so if your template doesn't appear, resize your images and try again.

Making the flexagon

First, cut out your printed tempate. For this example, I used plain blue, green and purple images.
Then fold and glue your template in half lengthways.
Next, fold diagonally across the blue diamond, being careful to line the fold up with the purple diamond. This will bring two parts of the purple picture together.
Do the same again with the blue diamond which has just been folded into view.
Fold the green triangle under the purple.
And finally tuck the white triangle under the purple triangle it is covering. This will bring the two white triangles into contact. Glue these white triangles together and you have made a flexagon.

Flexing the flexagon

Before flexing the flexagon, fold it in half through each pair of corners. This will get it ready to flex in the right places.
Now fold your flexagon into the following position.
Then open it out from the centre to reveal a different face.
This video shows how to flex a flexagon in more detail.

Similar posts

Electromagnetic Field talk
Assorted christmaths
Dragon curves II
Tube map kaleidocycles


Comments in green were written by me. Comments in blue were not written by me.
 Add a Comment 

I will only use your email address to reply to your comment (if a reply is needed).

Allowed HTML tags: <br> <a> <small> <b> <i> <s> <sup> <sub> <u> <spoiler> <ul> <ol> <li>
To prove you are not a spam bot, please type "odd" in the box below (case sensitive):


Show me a random blog post

Feb 2020

PhD thesis, chapter ∞
PhD thesis, chapter 5
PhD thesis, chapter 4
PhD thesis, chapter 3
Inverting a matrix
PhD thesis, chapter 2

Jan 2020

PhD thesis, chapter 1
Gaussian elimination
Matrix multiplication
Christmas (2019) is over
▼ show ▼
▼ show ▼
▼ show ▼
▼ show ▼
▼ show ▼
▼ show ▼
▼ show ▼
▼ show ▼


propositional calculus sound books games mathsjam wave scattering dataset london underground gerry anderson pac-man sport probability chalkdust magazine realhats graph theory programming christmas talking maths in public misleading statistics game of life mathslogicbot manchester science festival noughts and crosses captain scarlet inverse matrices data visualisation national lottery advent calendar electromagnetic field tennis harriss spiral bodmas nine men's morris asteroids phd polynomials light bempp the aperiodical sorting raspberry pi finite element method accuracy mathsteroids arithmetic golden ratio tmip ucl chess chebyshev royal baby frobel numerical analysis craft braiding platonic solids preconditioning matrix of cofactors twitter inline code hats oeis error bars signorini conditions christmas card draughts matrices stickers weather station boundary element methods simultaneous equations weak imposition hannah fry javascript reuleaux polygons wool rhombicuboctahedron countdown video games london palindromes triangles interpolation a gamut of games matrix multiplication map projections matt parker data speed big internet math-off pizza cutting dates fractals approximation curvature geometry reddit computational complexity python game show probability estimation ternary binary logic sobolev spaces cross stitch radio 4 folding tube maps puzzles cambridge gaussian elimination latex world cup flexagons menace manchester hexapawn rugby golden spiral people maths machine learning coins royal institution folding paper football determinants bubble bobble martin gardner trigonometry pythagoras matrix of minors dragon curves php go european cup statistics final fantasy news plastic ratio


Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2020