The Hexaflexagon

Dive into the fascinating world of mathematical toys with this 3D printed tri-hexaflexagon. Unlike its traditional paper counterpart, this model offers a durable and tactile experience, bringing to life the intriguing concept of a shape with three distinct faces. Its ingenious design allows for a mesmerizing flexing action, revealing hidden surfaces in a way that's sure to captivate. Perfect for enthusiasts of mathematics, geometry, or simply those in search of a unique pocketable toy, this hexaflexagon packs a world of discovery into a compact, 8 cm diameter form.

Customization

Make this hexaflexagon truly yours by choosing any three colors to print. While we recommend steering clear of light colors to avoid bleed-through, choosing a lighter hue for the first slot creates a symmetrical effect upon folding. Experiment with different color combinations to personalize your hexaflexagon or match it to your style.

The example photos were all printed in Bambu Matte PLA filament. Here are some of the colors that don't bleed through to the other side:

• PLA BambuLab Basic Charcoal
• PLA BambuLab Matte Ash Gray
• PLA BambuLab Matte Dark Red
• PLA BambuLab Matte Dark Blue

And here are some examples of colors that do bleed through.

• PLA BambuLab Matte Ivory White
• PLA BambuLab Matte Lemon Yellow
• PLA BambuLab Matte Sakura Pink

Printing

The included print profile is designed with ease of printing in mind, but if you choose not to use it, this model requires:

• Two layers of printing at 0.2mm each and should not be scaled.
• Top and bottom surface patterns should not run parallel to the folds. This is to ensure the hinges are both strong and flexible. Deviating from this may compromise the design.

Although there are only four color changes for the whole print, I haven't discovered a easy way for non-AMS owners to manually swap the filaments because the changes occur mid-layer.

Making the Fold Lines

Zigzag Pattern Formation: The color change lines will be your guide. Carefully fold the printed strip along the color-separating lines to create a series of equilateral triangles in a zigzag pattern.

Ensure the same colors are on the inside of each fold to maintain the integrity of the design.

Do not fold where the inside part of the fold displays two different colors on each side.

Folding in the wrong direction can significantly weaken the plastic, risking fold failure.

Pro Tip: For precise folds, use a straight edge, such as a sharp countertop to guide your folding.

Folding to Create the Hexagon

• Arrange the Triangles: Start by aligning the first four triangles in a straight line.
• Sequential Folding: Proceed to fold triangle 5 behind triangle 4. Follow a similar pattern by folding triangle 8 behind triangle 7, ensuring the sequence is maintained correctly.
• Hexagon Creation: Transition to forming the hexagon by positioning triangle 9, marked with a dot, in front of triangle 2.
• Connecting Ends: Ensure the two ends of the strip (the "tails") are facing each other, each marked with a dot, indicating the place to put a dot of superglue.

Exploring the Hexaflexagon

The real magic begins when you start to flex your hexaflexagon. Gently pinch and push three adjacent triangles towards the center to unveil the hidden faces. Each flex invites you to explore further, revealing new patterns and colors. It's a delightful puzzle that encourages curiosity and offers endless fascination.

Helpful Hints for Success

1. Cool Down: Let the print cool completely to maintain its shape.
2. Folding: Use a straight edge for precise folds along the color changes. Make sure the same colors are on the inside of each fold.
3. Gluing: Apply just a drop of superglue and wait for it to dry fully before playing.

July 17th, 2024 - Using what I've learned over the last couple months of designing things, I've revisited this model and updated it. It should greatly improve the durability of the folding parts.  

If you enjoyed the Hexaflexagon, you'll love taking it to the next level with the Hexa-hexa-flexagon. This advanced flexagon has twice the number of faces, offering even more intricate folds and fascinating patterns to explore.