How to Fold a Hexaflexagon

This article was co-authored by Amy Guerrero. Amy Guerrero is an Arts and Crafts Specialist and the Owner of Sunshine Craft Co., a crafting studio based in Phoenix, Arizona. Amy specializes in macrame, DIY crafting, and teaching fiber arts. She offers monthly in-person and online workshops along with having developed a range of DIY craft kits for at-home projects. Amy holds a BS in Industrial Design from Philadelphia University. She worked as a graphic designer before starting her own business. Sunshine Craft Co. is a creative hub that offers a wide range of workshops, tools, and resources for any craft project to inspire creativity and community engagement.

This article has been viewed 357,379 times.

A hexaflexagon is a paper hexagon that is folded from a strip of paper. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. Like a hexagon, it still has 6 sides. Within the hexagon, there are 6 additional faces—as opposed to 2 faces on a standard hexagon shape.

Making the Initial Folds of a 6-sided Hexaflexagon

Cut a strip of paper. Your strip should be at least 12 times as long as it is wide. Construction paper will hold the folds better than standard notebook paper.

Fold equilateral triangles into your paper. Equilateral means that all 3 sides are the exact same length. Make your first triangle by marking in about one knuckle. This will be the top point of your triangle. Make a diagonal fold, starting at this mark, with the long side of your strip. When you do so, you’ll see an equilateral triangle. There will be some excess paper on the top left of your triangle: cut this off. Open your fold to reveal an equilateral triangle.

• Try folding each triangle both ways to make flexing easier later on.

Label your triangles 1-3. Flip your strip so that the first triangle is pointing upward. Label this “1.” Your next triangle is pointing downward: label this “2” and the next one “3.” Your next one is once again pointing downward, label it “1.” Continue labeling 1-3 all the way to the 18th triangle. You will have one extra triangle. This won’t get a number.

• You can color coordinate your triangles if it helps you identify which is which.
• The blank triangles are on opposite ends of the strip, on opposite sides.

Constructing the Hexaflexagon

• When you flip it over, your paper should read 1-2-2-3-3-1-1-2-2-3.

Fold between the second set of 1’s and 2’s. With your strip flipped so that the lower numbers are toward you, find the second set of triangles that read 1-1 and 2-2. Make a fold between the two: you should fold the longer side under so that you’re looking at triangles “2,” “2,” and “3.

• Your product should now have 6 “2” triangles forming a hexagon and a “1” triangle as an extra flap on the top right of your hexagon.

• This is your end product. It should have the same outer shape as a hexagon, but have layers within.

Flexing Your Hexaflexagon

Push the outer corners in. Start by pinching two triangles together along one of the edges. Do the same on the opposite side and push the corners toward each other.

Open opposite triangles. Take the center of these triangles and open them to reveal the face of your hexaflexagon. If they refuse to open, try pinching an adjacent pair of triangles to loosen the folds.

Try folding different sides. Now that you’ve seen how to open the hexaflexagon, try pinching different sides together to reveal all sides within. Faces 1, 2, and 3 will appear more often than 4, 5, and 6. Color or paste pictures on the six different faces and flex away.

Community Q&A

There is not an exact length it needs to be, but the strips should be approximately 1/12 as wide as they are long. You will need to cut off the extra triangles, however.

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No. You add a symbol, letter, or just write the word glue. The side you glue can really have anything on it, but if you add a number, it might be confusing.

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You can find it at most stores where school supplies are sold. You can use any type of paper. However, as stated above, construction paper is the most sturdy and is preferred.

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• If you don't have glue or tape, you can also tuck the corner of the back triangle into the last triangle you fold over.
• If there are triangles left over, you can cut them off.

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About This Article

This article was co-authored by Amy Guerrero. Amy Guerrero is an Arts and Crafts Specialist and the Owner of Sunshine Craft Co., a crafting studio based in Phoenix, Arizona. Amy specializes in macrame, DIY crafting, and teaching fiber arts. She offers monthly in-person and online workshops along with having developed a range of DIY craft kits for at-home projects. Amy holds a BS in Industrial Design from Philadelphia University. She worked as a graphic designer before starting her own business. Sunshine Craft Co. is a creative hub that offers a wide range of workshops, tools, and resources for any craft project to inspire creativity and community engagement. This article has been viewed 357,379 times.

A hexaflexagon is a paper hexagon with all of the sides flexed to show more surfaces than a standard hexagon can. Start by cutting a strip of paper that’s at least 12 times as long as it is wide. Next, fold 19 equilateral triangles into your paper. Flip your strip over so the first triangle points up. Label it “1.” The next triangle, which should be pointing down, will be “2.” Continue labeling your triangles 1 through 3 until you get to the 18th triangle. Then, flip your strip over, skip the first triangle, and label the next triangle, which should be pointed up, “4.” Label the next triangle “4” too. The next two triangles should be labeled “5,” then the next two should be “6.” Repeat this pattern until you finish the strip. Now fold your back numbers to face their partners, so take the first two “4” triangles and fold them into each other. Fold between the second set of “1”s and “2”s twice to finish your hexaflexagon. To learn how to flex your hexaflexagon, keep reading!