A hexahexaflexagon is a flexagon with six edges which can reveal six faces.

Cut a strip of 19 equilateral triangles and label as shown.
Fold the strip as if it were being wrapped around a ruler.
Fold under as shown.
Fold under as shown.
Bring the side 1 in front, fold the side 2 to the back and glue together the unnumbered faces.

HOW TO FLEX

Pinch one of the radial folds into a mountain ridge. All radial folds should now be alternately formed into valley fold/mountain fold. The centre might now open out to reveal a hidden face. Be careful: not all first choices of radial folds will produce a flex - don't force it. Just rotate the hexaflexagon by 60 degrees to a neighbouring radial fold which will then flex.

An animation of a flexing hexaflexagon can be seen at: http://www.drking.plus.com/hexagons/flexagons/simul.html

HOW TO SHOW ALL THE FACES

The schematic diagram below shows the possible faces which are available whilst flexing. Different choices of numbered faces being produced by selecting different radial folds when available.

One the enrichment tasks on this site.

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