Make Any Hexaflexagon Hexaflexagon Construction This page shows how one can construct hexaflexagons with any number of sides or flex patterns desired. I am not going to discuss the theory behind this method, but rather give you the steps to follow without explanation of why. This procedure is based on the papers of Antony S. Conrad and Daniel K. Additional papers by Harold V.
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Any of these searches should yield many patterned templates to choose from. Pick the patterns that you like the best and then print out the template. Using scissors, carefully cut along the outside lines of the pattern.
Try to cut as straight as possible and directly on the lines. Precision in the cuts is important to make the correct folds. Once the template has been cut out, you will make a series of specific folds to complete the flexagon. The first fold is along the centerline of the template. Score the centerline with an empty ballpoint pen by aligning a ruler on the line and running the pen along it.
Scoring makes it easier to fold. 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. When the two sides have been glued together, score the edge of each triangle. Fold back and forth along each edge of solid black lines.
At this point, you should have the smaller side facing upright. You should see two white triangles at either end with eight patterned triangles in between. Count four triangles from the right side of the paper and fold along the far edge of the fourth triangle this is actually the third patterned triangle because there is a blank triangle on the end. Make the fold downward so that the crease of the fold points upward.
Flip the entire paper over and count four triangles from the left side of the template. Fold the paper up so that it begins to resemble a hexagon. If you have done the fold correctly so far, you should see only one pattern making the hexagon with one extra triangle flap sticking out. If you have misfolded at a step, simply unfold what you have done and begin again. Take the blank flap that sticks out and fold it over the other blank triangle. You should now see a hexagon with six identical faces.
Glue the flap in place. If you flip the flexagon over you should see another pattern with six identical faces on it. The third pattern is hidden on the back sides of the two visible patterns. Advertisement Using the Flexagon 1 Fold and unfold along all three diagonals.
Manipulating the flexagon takes a little bit of practice, but is made much easier if you fold and unfold the creases a few times. Make folds along all three diagonals of the hexagon and fold them back and forth a few times. Fold two triangles together so that the fold goes toward the inside of the flexagon. The other two sides should flatten against each other.
With the two triangles pinched towards the center, the flexagon should almost fall open into a new pattern. Grab the top corners in the center of the flexagon and pull them open, revealing the new pattern.
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.