Skip main navigation

Flexagon analysis

Let’s return to the basic tri-hexa-flexagon and explore some of its properties. You made this flexagon from a pre-coloured strip of paper. Of course, Arthur Stone and his friends didn’t …

Basic flex notation

Some of the most important advances in the study of flexagons in recent years have been made by Scott Sherman. It all started when Sherman started to write “Flexagonator”, a …

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 …

The V-flex

Fold a V-flex only hexa-flexagon Fold the V-flex only hexa-flexagon by following these instructions: Download the file below (template number 10 in the flexagon booklet) which has the templates for …

Nomenclature. How to name flexagons.

Before we go any further, we need to discuss nomenclature, the naming system for flexagons. Unfortunately, as often happens in math and science, there are a few systems for naming …

Tuckerman diagrams

Recapping: Every flexagon at a certain time has a structure that we will refer to as states. At any given time we see the upper face of the state. Every …

The tri-hexa-flexagon

Fold a tri-hexa-flexagon Fold the tri-hexa-flexagon by following these instructions: Download the file below (template number 3 in the flexagon booklet) which has the templates for the back and front …

What are flexagons?

What are flexagons? That’s quite a difficult question to answer as there are so many different kinds. I suppose the best way to describe it is by its construction. A …

Flexagon labeling

Flexagon labeling Flexagon labeling is still rather a mess, as there are many ways to do this. We already discussed two important labelings: leaf id’s and folding numbers. Leaf id’s …

The magic square flexagon

Not all book flex flexagons are non-cyclic. Here is an example of a magic square tetra-tetra-flexagon that is cyclic and flexed using the book flex. First, though, we’ll briefly introduce …

Introduction to third week

Up until now, we’ve only used two flexes: the book flex for flexagons with square leaves, and the pinch flex for flexagons with triangular leaves. In fact, as we shall …

Introduction to second week

In the first week, you really only learnt the very basics – what are flexagons. You were introduced to three flexagons whose basic unit is a square. You practiced building …

How to Label Flexagons

We can label flexagons using Les Pook’s flexagon symbols. These symbols are great because they identify flexagons at a glance and contain important information about their structure and dynamics. We …

The twist flex

One of the simplest prime flexes there is, is the twist flex. Try it out for yourself! Download the template linked in the ‘related files’ section of this step (template …