Figures 56 show the final folding of the spiral to make a hexagon. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. Join the two pieces of the hexa hexaflexagon together to form a strip of 19 triangles. With careful folding, you can make your own flexagon and impress your friends with your new geometric toy. Origami hexaflexagon tutorial how to make a hexaflexagon. Mar 30, 2019 manipulating the flexagon takes a little bit of practice, but is made much easier if you fold and unfold the creases a few times. Wherever there are two matching orange, green, or purple designs next to each other, fold the strip so that the matching designs touch. Rathburn originally published in popular mechanics in 1963.
Discover secret math and science tricks to creating art. Each folding has a unique flexing traverse as well as unique sets of faces. Starting at the flap1 end, fold the first blue triangle against the adjacent blue triangle. Download hexaflexagon template for free formtemplate. Rodrigo guimaraes este e o canal do manual do mundo. In this video i will how you how to make this origami flexagon with a single sheet of paper. Do not open up one side of the flexagon separately before opening up the other. Fold a magic rose cubea flower in a box origami puzzle.
They do require cutting and gluing so they are not truly origami. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. Oct 21, 2012 this video will show you how to make your very own hexahexaflexagon. Make a diagonal fold, starting at this mark, with the long side of your strip. Fold the recordsetting gliderstyle paper airplane guinness world records money origami, flower edition.
Blank template with instructions also a pdf version. Make your first triangle by marking in about one knuckle. May 20, 2015 make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. Manipulating the flexagon takes a little bit of practice, but is made much easier if you fold and unfold the creases a few times. Some sides can appear in more than one state with a different centre. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. To make a flexagon you only need some paper, a template, scissors, and glue. Equilateral means that all 3 sides are the exact same length. Pa ge 33 hexa hexaflexagon variatio n 3 3 this is a great flexagon, easy to fold, glue and the final model is excellent. Then fold the third triangle down from the left triangle back. Make the arc for the final points of the triangles. For those who are not much of a visual learner, this tutorial is recommended for you.
Make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. Hexahexaflexagon template a3 captain musick air scouts. 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. The first one is a flexagon from the app, im unsure about the second and third but they do show technique. Your strip should be at least 12 times as long as it is wide. My recommendation, when following the instructions, is to color the front face with the 123123123 colors, then fold and glue everything together and then color the remaining three faces after its been folded. You can and should pre crease all triangles before and after gluing. Book may have signs of shelf wear dust brouhaha inc is committed to providing each customer with the highest standard of customer servicej has wear and minor folding. Dinosaur claws tutorial diy costume, papercraft, low poly, template, pdf.
When you do this, slide the end above the end of the cane to cover the lone 3 triangle. You are essentially wrapping the paper into a spiral. Instead of folding 9 or 10 triangles, fold 19 triangles. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour.
This model celebrates all hexaflexagons with 6 or less faces. Instructions and patterns for making hexahexaflexagons. How to make a trihexaflexagon folding a 60 o angle 60o 1 2 3 1. The plans have been modified by multiple people and instructions are available online for free in various locations. 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. Push three corners down and in to make three valley folds. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a. This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. I had a book of activities that showed it but i gave it.
However, due to the right angles, there are additional flexes you can do. Yes, weve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on oct. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. Flexagon calendar the flexagon calendars are probably the most interactive or most fun makeityourself calendars in this web site. Make folds along all three diagonals of the hexagon and fold them back and forth a few times. Make a fold from one corner, so that the other corner lands on the first fold 3. If the file has been modified from its original state, some details may not fully reflect the. This last is badly disorganized because its a dump of links i collected during my hexaflexagon addiction. This origami hexaflexagon is an action model paper design. How to fold out a practical mobile phone stand with a piece of paper. With practice you should be able turn smoothly through all the colours. You can reveal new, different coloured sides by flexing it.
If the file has been modified from its original state, some details may not fully reflect the modified file. If youre behind a web filter, please make sure that the domains. Flexagons are folded paper polygons that have the neat feature of changing colors as they. You put your index finger and thumb inside the paper and open it one way, then another way and count. You dont absolutely have to do this step, but it makes it much easier to play with the flexagon if you do. 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. To do some mathematical investigation you first need to learn how to flex the flexagon correctly. Fold the adjacent likenumbered faces on the back side together, yielding figure 3. Two of the yellow triangles have a letter a on them. Other hexaflexagons edit while the most commonly seen hexaflexagons have either three or six faces, variations exist with any number of faces. After the first round of folding you have a strip looking like this. Happy hexaflexagon month, in honor of martin gardner.
Start from the state where 2s are on one side and 3s are on the other. Make a line segment long enough for 19 triangles how to makeem. Math and science educational pages are interspersed with cool flexagon activities that offer practical applications of the information students learn in class. Follow steps in the tri hexaflexagon step by step tutorial. Fold back along line ab, and then back along line cd, yielding figure 4 and then 5. Wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully.
Manual do mundo comunicacao ltda caixa postal 77795. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. Melipat hexaflexagon print edit send fan mail to authors. Blank and decorated hexahexaflexagon template free download. Mintart arte manual, manualidades con papel, juguetes, sobres.
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. I am trying to prepare a game for a class im teaching and i want to find instructions on how to fold the paper. This may lead to panels from different faces getting mixed together. Find out what they have to do with computational thinking by downloading the cs4fn booklet. Hold the flexagon in two hands, looking down at the top face.
The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6. Videos novos todas as tercas e, quinzenalmente, aos sabados, as 11h30. Fold over the last triangle and glue in place yielding figure 6. Fold and bend the hexagon along the lines to loosen it up, then work out how to turn it all insideout to make the red side appear. How to make a hexahexaflexagon geometric toys to make aunt. Fold so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. This title introduces young readers to the sciences, with a creative twist. A flexagon is a polygon folded out of paper in such a way that there are three patterned faces.
If you then fold 2 on 2, you can fold it into a cone shape with 1s on the outside and 3s on the inside, allowing you to tape the flaps onto the appropriate faces. Figure 3 shows the first fold, and figure 4 the result of the first nine folds, which form a spiral. See below for details of the construction and state diagrams for each of the four folded variations. Theres a game that kids play with folded paper and writing numbers and words inside. I have used the 12 zodiac months with 4 symbol sets for each zodiac month to construct the faces of this flexagon. Making flexagons is not only educational, but rather fun as well. Hexahexaflexagon instructions printing a blank flexagon. Constructions front hexahexaflexagon supplies coloring front make the sides of the triangles.
Tuck the different colored triangle underneath the other one. Fold the strip in a twisty foldy loop so that the numbers are now lined up. If youre seeing this message, it means were having trouble loading external resources on our website. Trihexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 10 equilateral triangles a. Making a flexagon flap 1 after the first round of folding you have a strip looking like this. At any time only 2 sides are visible, but a hexahexaflexagon actually has six sides. 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. Step 2, fold equilateral triangles into your paper. The more carefully you fold along the black folding lines, the smoother your. It is easiest to fold patterns that have numbers or counting dots. Jan 26, 2016 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.
Make the flexagon and explore it while at the same time learning about computing and computational thinking and how it can help. One hexahexaflexagon, constructed from an irregular paper strip, is almost identical to the one shown above, except that all 18 configurations can be flexed on this version. Hexahexaflexagons are strange folded objects that have hidden sides. With this six sided version, start by folding 6 on 6, 5 on 5 and 4 on 4. Hexaflexagons amazing shapes investigation ib maths. A flexagon is a polygon, usually made from paper, that can be folded in certain ways to produce a series of faces. The figure can be flexed to show six different faces. 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. Turns out its a good time to sell shirts because its black friday, and the entire store is 20% off. 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. With another fold it starts to make a hexagon of yellow triangles. This brings three yellow triangles together as below. Your product should now have 6 2 triangles forming a hexagon and a 1 triangle as an extra flap on the top right of your hexagon.