The non-cyclic hexa-tetra-flexagon

Watch the video and follow the instructions to build the non-cyclic hexa-tetra-flexagon:

• Download the file below which has the templates for the back and front of a rectangular sheet of paper that will be folded into the hexa-tetra-flexagon.
• Print the two templates using a colour printer.
• Glue together the back and the front, so that the paper strip is printed on both sides. Make sure you do this the right way, and that your back and front are correctly positioned.
• Cut along the bold line into the blank centre square, and then cut out the blank centre square.
• Crease the paper along the lines, back and forth, so that the paper is flexible and easy to work.
• Fold the paper strip into a 2×2 square making sure that you always fold identical symbols back-to-back.

You should end up with four smiley faces on one side and stars on the other. Tape together the top right horizontal wad of paper. You’ll be able to see two faces or sides of the flexagon, once it’s assembled. You can use the ‘book’ flex, both vertically and horizontally to expose the other 4 faces. Did you find them all?

Discussion

What are the notable differences between the hexa-tetra-flexagon and the tetra-tetra-flexagon?