Making Maths: Hexaflexagon - Colour Switch
To make this bendy puzzle you will need a cardboard strip of ten
equilateral triangles. The easiest way is to print or photocopy the
strip onto light cardboard. (If you want to draw your own there are
some instructions at the bottom of this page).
- Print or copy the strip onto thin cardboard and cut it
- Mark the lines on the back so that the triangles are marked
- Score the lines by tracing heavily over them with a pen and
- Find the front and colour the triangles as shown.
- Turn it over and colour the back as shown (Note that it's
different to the front!)
- With the back facing up, fold the two triangles at the left end
upward, and the two triangles at the right end downward.
- Turn it all over and fold the left side upward to make a
- Tuck under the last triangle and glue it carefully.
- If you have folded correctly, one side of the hexagon will be
orange and the other yellow.
- Fold and bend the hexagon along the lines to loosen it up, then
work out how to turn it all inside-out to make the red side appear.
With practice you should be able turn smoothly through all the
colours. It is hard at first so keep trying! Look below for a clue.
If you want to draw your own triangles, start by setting a compass
on 5 centimetres and draw an arc. Keep it set on 5cm and put the
compass point on the arc and draw another arc that crosses the
first arc. Put the point of the compass on where the arcs cross and
draw in the last arc to mark the corners of the triangle. You can
now extend the strip until you have ten triangles.