My kids love to make these and I am sure there are other people who would love to try them as well. There are lots of versions of a flexagon out there. This is one of many. Below is how we created this version.
To start, cut a strip of paper 1 1/2 inches high and 11 inches long.
You make the first fold to look like an ice cream cone (about a 60 degree angle).
When you start folding, each fold looks like it is an equilateral triangle.
All of the folds go back and forth not around the triangle. We call it accordion style.
Once all the folds are complete, unfold the strip. You will see all of your folds and the two end flaps which can be cut off.
Next, count to the third triangle and fold it in the direction of the fold-in this case down.
Tuck the flap behind your flexagon.
You should have two leftover triangles. If you have more than two, cut off the extra.
Put glue on the top two triangles and fold them down and attach them to the hexagon.
Now it is complete.
It is fun to draw images on the different sides. In this case, you will have three different image possibilities.
To swap the images, flex and open the hexagon so that new images appear.
Here is how we made the images that we added later….