Cut out the pattern so that you have three strips of 7 triangles each. You can and should pre crease all triangles before and after gluing. You can pre crease all tria ngles before and after gluing. Origami hexaflexagon tutorial how to make a hexaflexagon. How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. Some sides can appear in more than one state with a different centre. Print blank flexagon pattern on one sheet of paper, singlesided. Fold so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. Yes, weve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on oct. Diagrams were created by origami resource center using the templates from. How to make a 3d hexaflexagon tri kaleidocycle snapguide. 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.
Problems,childrens solutions,interactivities,games,articles. 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. Do not open up one side of the flexagon separately before opening up the other. Manual do mundo comunicacao ltda caixa postal 77795. 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. You dont absolutely have to do this step, but it makes it much easier to play with the flexagon if you do. Make the flexagon and explore it while at the same time learning about computing and computational thinking and how it can help. Dec 26, 2019 wikihow is a wiki, similar to wikipedia, which means that many of our articles are cowritten by multiple authors. To create this article, 19 people, some anonymous, worked to edit and improve it over time. The wikihow video team also followed the articles instructions, and validated that they work.
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. Manipulating the flexagon takes a little bit of practice, but is made much easier if you fold and unfold the creases a few times. Click here to download pentahexaflexagon calendar templates these models require cutting. Videos novos todas as tercas e, quinzenalmente, aos sabados. Push the opposite vortex down and toward the center, then open the. 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. Blank and decorated hexahexaflexagon template free download. Make a line segment long enough for 19 triangles how to makeem. This model celebrates all hexaflexagons with 6 or less faces. You are essentially wrapping the paper into a spiral. Fold back along line ab, and then back along line cd, yielding figure 4 and then 5.
Start from the state where 2s are on one side and 3. You make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip in a special way. So you cut off the extra and end up with all these strips of paper. Tape the hexaflexagon together along the outside edges of the triangles, folding the tape over the edge from front to back see figure 7. Blank template with instructions also a pdf version. Hexaflexagons amazing shapes investigation ib maths. I adapted this howto from aussiepapersons video on youtube. Make the arc for the final points of the triangles. Mathematics resources for children,parents and teachers to enrich learning. How to make a trihexaflexagon folding a 60 o angle 60o 1 2 3 1. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would.
Typologies of the popular science web video journal science. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. Constructions front hexahexaflexagon supplies coloring front make the sides of the triangles. Hold the flexagon in two hands, looking down at the top face. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour. Hexahexaflexagon template a3 captain musick air scouts. I find it can be easier especially if you use a fast drying glue to leave the inside uncut until after gluing together. Make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. Feb 23, 2014 3 2017 update to unleash the hexahexaflexagon essence of your hexahexaflexagon, make sure you rotate it and flex it through the other three folds. Using graphs to explore the start of a simple map of how to. To flex the hexaflexagon, choose two adjacent triangles and push the outside edges down to form a rooftop ridge. If the file has been modified from its original state, some details may not fully reflect the modified file. Make folds along all three diagonals of the hexagon and fold them back and forth a few times.
Videos novos todas as tercas e, quinzenalmente, aos sabados, as 11h30. Pentahexaflexagon calendar this pentahexaflexagon calendar was created by ralph jones. 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. Vi hart just started a series of videos on hexaflexagons. However, due to the right angles, there are additional flexes you can do. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. Sep 27, 20 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. 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.
Make a fold from one corner, so that the other corner lands on the first fold 3. Videos novos todas as tercas e quinzenalmente aos sabados. Youll also notice that some faces appear more often than others. Download hexaflexagon template for free formtemplate. If the file has been modified from its original state, some details may not fully reflect the.
This may lead to panels from different faces getting mixed together. Hexahexaflexagons are strange folded objects that have hidden sides. Como fazer uma dobradura infinita hexagono 2d youtube. Interestingly, in a hexahexaflexagon, each of the colored faces can appear in two different orientations such that, if you were to draw a sixpointed a star at the center of your hexagon, it would sometimes appear around the center and sometimes around the outer edges. Ajude com a divulgacao deste video, basta clicar no like e adicionar aos favoritos. Descomplicar e transformar o chato em divertido e com a gente. This origami hexaflexagon is an action model paper design. If youre behind a web filter, please make sure that the domains. Hexahexaflexagon instructions printing a blank flexagon. Anyway, theres lots of cool things you can do with a strip of paper. A hexaflexagon is a paper hexagon that is folded from a strip of paper. And to keep yourself amused during your math class you start playing with them. The booklet is written by paul curzon of queen mary university of london based on.
The easiest way is to print or photocopy the strip onto light cardboard. To do some mathematical investigation you first need to learn how to flex the flexagon correctly. I do not recommend construction paper because it does not hold up well with repeated folding. If you want to draw your own there are some instructions at the bottom of this page. Fold the adjacent likenumbered faces on the back side together, yielding figure 3. Fold over the last triangle and glue in place yielding figure 6. Happy hexaflexagon month, in honor of martin gardner. Manual do mundo comunicacao ltda caixa postal 77795 cep 05593000 sp sp show less read more envios play all. Turns out its a good time to sell shirts because its black friday, and the entire store is 20% off. Your strip should now resemble that used to make the trihexaflexagon. Tuck the different colored triangle underneath the other one.
Then fold the third triangle down from the left triangle back. To make this bendy puzzle you will need a cardboard strip of ten equilateral triangles. At any time only 2 sides are visible, but a hexahexaflexagon actually has six sides. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. Find out what they have to do with computational thinking by downloading the cs4fn booklet. This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. The hexaflexagon has 6 triangles meeting in the center. Push three corners down and in to make three valley folds.
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