How to fold a hexahexaflexagon

"Make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. Once made you start to explore it. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour. To explore it fully, you need a map. A graph seems a good representation, which you create as you explore."

A hexahexaflexagon is a flexagon made of six sides each containing six smaller triangles. By pinching two triangles together and flattening the other four you can repeatedly turn itself inside out to show all of the sides. Some sides are easier to uncover than others though...

More information on hexahexaflexagons as an example of a finite state machine and instructions on making your own at our website teachinglondoncomputing.org/resources/inspiring…