Hexaflexagons are paper polygons with a surprising number of faces. They were first discovered in by Arthur Stone, who set up a Flexagon Committee to investigate their properties. The committee consisted of the famous Mathematicians and Physicists, B. Tuckerman, R. Feynman and J.
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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. 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.
There will be some excess paper on the top left of your triangle: cut this off. Open your fold to reveal an equilateral triangle. You want to finish with a strip of paper that has 19 equilateral triangles. Try folding each triangle both ways to make flexing easier later on. Flip your strip so that the first triangle is pointing upward. You will have one extra triangle. Flip over your strip. Skip the first triangle.
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. Advertisement Constructing the Hexaflexagon 1 Fold your back numbers to face their partners. When you flip it over, your paper should read With your strip flipped so that the lower numbers are toward you, find the second set of triangles that read and Flip your hexagon over. Fold it down and glue the pieces together. This is your end product.
It should have the same outer shape as a hexagon, but have layers within. Advertisement Flexing Your Hexaflexagon 1 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. 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. 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.
Patterns are Adobe PDF files. The Adobe Reader is available for free. Step 2: Color Pattern optional Color the pattern template as you like with markers, colored pencils or crayons. Step 3: Cut Cut around the pattern on the outline. Try to make the cuts very straight and accurate. There will be one piece with twenty triangles. Step 4: Double Make a double thickness by folding the pattern piece in half lengthwise and glue.
Patterns are Adobe PDF files. The Adobe Reader is available for free. Step 2: Color Pattern optional Color the pattern template as you like with markers, colored pencils or crayons. Tip: On blank patterns, follow the Coloring Guide. All the triangles that make up a hexagon face have the same number, so color and decorate them with that in mind. Step 3: Cut Cut around the two pattern pieces on the outline. Try to make the cuts very straight and accurate.
How to Fold an Origami Hexaflexagon