Skip main navigation

The non-cyclic hexa-tetra-flexagon

Watch this video to learn how to make the non-cyclic hexa-tetra-flexagon

Here’s another tetraflexagon that is nice to make and book-flex. Download and print the template below, template number 2 in the flexagon booklet. Watch the video and follow the instructions to build the non-cyclic hexa-tetra-flexagon:

  • 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?


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

This article is from the free online

Flexagons Galore: Advanced Flexagon Fun

Created by
FutureLearn - Learning For Life

Our purpose is to transform access to education.

We offer a diverse selection of courses from leading universities and cultural institutions from around the world. These are delivered one step at a time, and are accessible on mobile, tablet and desktop, so you can fit learning around your life.

We believe learning should be an enjoyable, social experience, so our courses offer the opportunity to discuss what you’re learning with others as you go, helping you make fresh discoveries and form new ideas.
You can unlock new opportunities with unlimited access to hundreds of online short courses for a year by subscribing to our Unlimited package. Build your knowledge with top universities and organisations.

Learn more about how FutureLearn is transforming access to education