How do Flexagons work?

Posted on by Muna Meyer

How do Flexagons work?

In geometry, flexagons are flat models, usually constructed by folding strips of paper, that can be flexed or folded in certain ways to reveal faces besides the two that were originally on the back and front. Two flexagons are equivalent if one can be transformed to the other by a series of pinches and rotations.

How do you make a four sided Hexaflexagon?

Label your triangles 4-6. Flip over your strip. Skip the first triangle. The next triangle is pointing upward: label this “4.” The next triangle is also labeled “4.” The next two are both “5” and then the next two are both “6.” Repeat this pattern to the final triangle on your strip.

How do you make a flexagon template?

Instructions

  1. Step One Download and print the template.
  2. Step Two Draw different designs in each row of triangular sides.
  3. Step Three Cut along bold line.
  4. Step Four Crease dashed lines face to face.
  5. Step Five Crease diagonal lines back to back.
  6. Step Six Gently fold paper to match dot to dot and form a tube.

How many types of Hexaflexagons are there?

Example: The Tuckerman traverses of the last hexaflexagon of order 10 (#82), and the strip that produces it, front side and back side: #82 of order 10. Strip, front side and back side (with horizontal flip). There are 82 possible hexaflexagons of order 10.

How do you make a paper moving flexagon step by step?

How to Fold an Origami Flexagon

  1. Step 1: Create a Paper With a 1:2 Size Ratio.
  2. Step 2: Begin the Flexagon.
  3. Step 3: Create a 2 by 8 Grid.
  4. Step 4: Create the Diamond Grid.
  5. Step 5: Form the Ring.
  6. Step 6: Begin Shaping the Flexagon.
  7. Step 7: Finish Shaping the Flexagon.
  8. Step 8: Begin the Movement.

Who discovered Hexaflexagons?

Arthur H. Stone invented the Hexaflexagon and started a flexagon committee with his friends Tuckerman, Feynman, and Tukey (who all later became well-known in their respective fields).

How to make a hexagon from a square?

Hexagon from a Square Instructions. Fold and unfold the paper into quarters as shown. Fold the top-right corner of the paper down so the corner meets the nearest crease made in step 1 (join the blue dots). Position the fold so the new crease meets the raw edge of the paper at the half-mark crease.

How to make a paper moving flexagon?

– Fold the template so that the pattern is facing up. – Once the fold has been made, run the ruler along the fold to make the edge sharp. – Glue along the shorter half of the template with a glue stick to stick it down to the longer half.

How to make a trihexaflexagon?

Trihexaflexagon. Fold a strip of paper and glue the ends together to create a flexagon that displays different images as you turn it “inside out.” This, the simplest of the flexagons, is called a trihexaflexagon because it displays three different images in a hexagon. There are a variety of flexagons with different shapes and number of images.

How to fold a hexa-tetraflexagon?

How to Fold a Hexa-tetraflexagon . 1. Take out our flexagon . 2. First, use scissors to cut around the outside of the 8″ x 8″ large square. 3. Next, fold the large 8″ x 8″ large square in half. This will make it easier to cut out the middle 4″ x 4″ square. 4.