This is the classic 3 faced hexaflexagon.  This template is created to be easy to cut out, glue and fold up. This fresh design has been nicely labeled to best show off the mathematical properties of the flexagon.  Everyone should make one of these!

This flexagon is not nearly as widely known and folded, but it is almost as easy to cut out and fold up as the classic. The four faces provide opportunity for design creativity. A well folded model will flex very smoothly with well formed faces.

Be sure to check this one out - It is a celebration of all 6 hexaflexagons with 6 or less faces.

Template for the B and C variations of the 7 faced heptahexaflexagon.  Both variations are folded from the same template.  Within each folded variation, you can see the faces of the other variation.  Be sure to check out the "G" and Sunday face on both variations.  Challenge - Can you V-flex from one variation to the other?  This is the hexaflexagon with the smallest number of faces that will fold up into two flexagons with different Tuckerman state diagrams.

Click here for the larger 5 inch template or click above for the 3 inch template. Template for the D and last variation of the 7 faced heptahexaflexagons. This is the hexaflexagon with the smallest number of faces where the template curls on top of itself.  In fact the template has three spirals in it.  This flexagon is a bit more challenging than the others on this page to make due to the more complex template.  One of many interesting things about this flexagon is that if you start with the E face on top and the F face on…

This is a cyclic 4 face square flexagon.

TriHexaflexagon with Sangaku Japanese Temple Geometric problems for faces. For details on problems see 2008 book by Fukagawa Hidetoshi and Tony Rothman, Sacred Mathematics .

Here is a Trihexaflexagon with a color pattern. Fold as for other Trihexaflexagons.