Fold so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. Make a fold from one corner, so that the other corner lands on the first fold 3. How to make a 3d hexaflexagon tri kaleidocycle i adapted this howto from aussiepapersons video on youtube. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. A well folded model will flex very smoothly with well formed faces. He also found that with a strip of paper cut in a zigzag pattern. Hold the flexagon in two hands, looking down at the top face. Do not open up one side of the flexagon separately before opening up the other. Fold the adjacent likenumbered faces on the back side together, yielding figure 3. The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6. How to make a hexahexaflexagon geometric toys to make aunt. Search online for flexagon, hexaflexagon, or trihexaflexagon templates.
Then fold the third triangle down from the left triangle back. Diagrams were created by origami resource center using the templates from. Tuck the different colored triangle underneath the other one. All triangles with the same number must be the same color. Download the booklet hexahexaflexagon automata download the booklet hexahexaflexagon automata make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. You dont absolutely have to do this step, but it makes it much easier to play with the flexagon if you do. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a. How to make a 3d hexaflexagon tri kaleidocycle snapguide. To do some mathematical investigation you first need to learn how to flex the flexagon correctly. Push three corners down and in to make three valley folds. Start from the state where 2s are on one side and 3. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper.
The resulting angle will be 60o flip 3 3 3 3 3 3 1 1 1 1 1 2 1 2 2 2 2 2 x x 1st fold fold 3s away 2nd fold hide the 2s the simplest hexaflexagon is the. Hexahexaflexagons pattern, colour, geometry crayola. Any of these searches should yield many patterned templates to choose from. Origami hexaflexagon tutorial how to make a hexaflexagon.
Our mission is to provide a free, worldclass education to anyone, anywhere. This is the equivalent of a hexahexaflexagon made from a straight strip, so knowing the tuckerman traverse for that one will help you figure out this one. Print blank flexagon pattern on one sheet of paper, singlesided. This flexagon is not nearly as widely known and folded, but it is almost as easy to cut out and fold up as the classic. Videos novos todas as tercas e, quinzenalmente, aos sabados, as 11h30. They were discovered by british mathematician arthur stone in 1939, when his work at harvard, with their us sized paper, led him to cut strips off his sheets of uk paper, and folding these strips into equilateral triangles led to the discovery of these fascinating. Your strip should now resemble that used to make the trihexaflexagon. A hexaflexagon is a paper hexagon that is folded from a strip of paper. Constructions front hexahexaflexagon supplies coloring front make the sides of the triangles. However, due to the right angles, there are additional flexes you can do. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. How to make a trihexaflexagon folding a 60 o angle 60o 1 2 3 1. Hexaflexagon cushion pdf knitting and crochet pattern etsy.
Unfortunately, this probably does not work for your question because it just looks like a 2d hexaflexagon but it has a small triangle sticking out, like a shark fin, therefore not being a hexaflexagon. Fold over the last triangle and glue in place yielding figure 6. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. The booklet is written by paul curzon of queen mary university of london based on. Pentahexaflexagon calendar this pentahexaflexagon calendar was created by ralph jones.
Blank template with instructions also a pdf version. I just realized this baby has 4 sides, so color it this way instead. You make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip in a special way. Color the triangles using any 6 colors in the pattern shown below. Actually, my brother has been trying to make the normal 6sided hexaflexagons, but each time he has succeeded at making one that has 7 sides. If the file has been modified from its original state, some details may not fully reflect the. Color whatever colors you want, but you might want to color in same pattern. Hexaflexagons amazing shapes investigation ib maths. Fold back along line ab, and then back along line cd, yielding figure 4 and then 5. You can pre crease all tria ngles before and after gluing.
The hexaflexagon has 6 triangles meeting in the center. Hexahexaflexagon instructions printing a blank flexagon. Make a line segment long enough for 19 triangles how to makeem. This origami hexaflexagon is an action model paper design. How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. Turns out its a good time to sell shirts because its black friday, and the entire store is 20% off. Two flexagons are equivalent if one can be transformed to the other by a series of pinches and rotations. The four faces provide opportunity for design creativity. Pick the patterns that you like the best and then print out the template. Rodrigo guimaraes este e o canal do manual do mundo. Download hexaflexagon template for free formtemplate. Fold two the last diagram shows you where to do the second fold.
Make the arc for the final points of the triangles. In this video i will how you how to make this origami flexagon with a single sheet of paper. Printable template making a flexagon print a template. Follow the instructions to make a hexahexaflexagon using a light colour of construction paper. Hexahexaflexagon craft project craft projects, paper.
Manipulating the flexagon takes a little bit of practice, but is made much easier if you fold and unfold the creases a few times. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. I find it can be easier especially if you use a fast drying glue to leave the inside uncut until after gluing together. Glue or tape tabs c together and tabs b together to make one long strip. This video will show you how to make your very own hexahexaflexagon. The models were named hexaflexagons hexa for their hexagonal form, and. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour. The patreon is almost at the level of sustainability for me, though not quite, so i decided to do something new and sell shirts this month.
Hexahexaflexagon craft project crafts, craft projects. A more complicated hexaflexagon, a hexahexaflexagon, can be made by starting with 19 equilateral triangles and folding them onto each other to create the strip of 10 triangles that you started with for the trihexaflexagon. Your pencil line should be on the outside of the fold when youve finished and you should end up with a shape like this. Click picture because you dont need to color left edge. This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
Click here to download pentahexaflexagon calendar templates these models require cutting. You are essentially wrapping the paper into a spiral. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. Flap 1 flap 2 3 3 3 3 3 3 0 0 0 0 0 0 1 1 1 1 1 1 7 2 7 7 7 7 2 2 2 2 2 8 8 8 8 8 8 7 5 4 4 4 4 4 5 4 5 5 5 5 6 6 6 6 6 6 a a a a a a b a c b a a b c a c c b a b c b. Some ideas for investigations into flexagons are taken from a fantastic book on the subject by the art of mathematics available to read as a pdf here. The flexagons in this project have six colors faces. Flexagons are folded paper polygons that have the neat feature of changing colors as they are flexed. Fold one the diagram above shows you where to do the first fold. Blank and decorated hexahexaflexagon template free download. I uploaded this on october 21, which is the birthday of martin gardner, the man who made hexaflexagons popular. Instructions and patterns for making hexahexaflexagons. At the same time pinch to make three mountain folds. Cut out the pattern so that you have three strips of 7 triangles each. Make folds along all three diagonals of the hexagon and fold them back and forth a few times.
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