This last is badly disorganized because its a dump of links i collected during my hexaflexagon addiction. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. 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. Rodrigo guimaraes este e o canal do manual do mundo. 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 your first triangle by marking in about one knuckle. The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6. Hexahexaflexagon template a3 captain musick air scouts. I had a book of activities that showed it but i gave it. You should be able to find a flap that opens up flat into a diamond shape with an extra triangle sticking off the edge. Wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully. You are essentially wrapping the paper into a spiral. This brings three yellow triangles together as below. Two of the yellow triangles have a letter a on them.
Happy hexaflexagon month, in honor of martin gardner. Join the two pieces of the hexa hexaflexagon together to form a strip of 19 triangles. This special kind of map is called a finite state machine. Wherever there are two matching orange, green, or purple designs next to each other, fold the strip so that the matching designs touch. If youre behind a web filter, please make sure that the domains. Your strip should be at least 12 times as long as it is wide. Tuck the different colored triangle underneath the other one. 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.
Oct 21, 2012 this video will show you how to make your very own hexahexaflexagon. Constructions front hexahexaflexagon supplies coloring front make the sides of the triangles. With practice you should be able turn smoothly through all the colours. Fold the recordsetting gliderstyle paper airplane guinness world records money origami, flower edition. Make a line segment long enough for 19 triangles how to makeem. Instructions and patterns for making hexahexaflexagons. 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. Yes, weve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on oct. Dinosaur claws tutorial diy costume, papercraft, low poly, template, pdf. 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.
Starting at the flap1 end, fold the first blue triangle against the adjacent blue triangle. Fold so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. 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. With careful folding, you can make your own flexagon and impress your friends with your new geometric toy. If the file has been modified from its original state, some details may not fully reflect the. 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. After the first round of folding you have a strip looking like this. Do not open up one side of the flexagon separately before opening up the other.
You can reveal new, different coloured sides by flexing it. How to fold out a practical mobile phone stand with a piece of paper. Figure 3 shows the first fold, and figure 4 the result of the first nine folds, which form a spiral. Origami hexaflexagon tutorial how to make a hexaflexagon. To do some mathematical investigation you first need to learn how to flex the flexagon correctly. To make a flexagon you only need some paper, a template, scissors, and glue. Make the flexagon and explore it while at the same time learning about computing and computational thinking and how it can help. Fold back along line ab, and then back along line cd, yielding figure 4 and then 5. Pa ge 33 hexa hexaflexagon variatio n 3 3 this is a great flexagon, easy to fold, glue and the final model is excellent. Make the arc for the final points of the triangles. Figures 56 show the final folding of the spiral to make a hexagon. You can and should pre crease all triangles before and after gluing. Turns out its a good time to sell shirts because its black friday, and the entire store is 20% off. This origami hexaflexagon is an action model paper design.
May 20, 2015 make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. Download hexaflexagon template for free formtemplate. I am trying to prepare a game for a class im teaching and i want to find instructions on how to fold the paper. Push three corners down and in to make three valley folds. If youre seeing this message, it means were having trouble loading external resources on our website.
How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. Making flexagons is not only educational, but rather fun as well. Videos novos todas as tercas e, quinzenalmente, aos sabados, as 11h30. In this video i will how you how to make this origami flexagon with a single sheet of paper. See below for details of the construction and state diagrams for each of the four folded variations. You dont absolutely have to do this step, but it makes it much easier to play with the flexagon if you do. Fold the strip in a twisty foldy loop so that the numbers are now lined up. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a. Rathburn originally published in popular mechanics in 1963. It is easiest to fold patterns that have numbers or counting dots. They do require cutting and gluing so they are not truly origami.
Then fold the third triangle down from the left triangle back. How to make a trihexaflexagon folding a 60 o angle 60o 1 2 3 1. Blank and decorated hexahexaflexagon template free download. Some sides can appear in more than one state with a different centre. This may lead to panels from different faces getting mixed together. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. 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.
Make folds along all three diagonals of the hexagon and fold them back and forth a few times. Instead of folding 9 or 10 triangles, fold 19 triangles. The booklet is written by paul curzon of queen mary university of london based on. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. Blank template with instructions also a pdf version. Hexahexaflexagons are strange folded objects that have hidden sides. Construction paper will hold the folds better than standard notebook paper. Fold over the last triangle and glue in place yielding figure 6. 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.
Theres a game that kids play with folded paper and writing numbers and words inside. Dec 26, 2019 under your fourth one, make another fold. The first one is a flexagon from the app, im unsure about the second and third but they do show technique. Making a flexagon flap 1 after the first round of folding you have a strip looking like this. Hold the flexagon in two hands, looking down at the top face.
If the file has been modified from its original state, some details may not fully reflect the modified file. Follow steps in the tri hexaflexagon step by step tutorial. Other hexaflexagons edit while the most commonly seen hexaflexagons have either three or six faces, variations exist with any number of faces. Hexahexaflexagon instructions printing a blank flexagon. Find out what they have to do with computational thinking by downloading the cs4fn booklet. Each folding has a unique flexing traverse as well as unique sets of faces. Math and science educational pages are interspersed with cool flexagon activities that offer practical applications of the information students learn in class. Discover secret math and science tricks to creating art.
Trihexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 10 equilateral triangles a. A flexagon is a polygon, usually made from paper, that can be folded in certain ways to produce a series of faces. Manipulating the flexagon takes a little bit of practice, but is made much easier if you fold and unfold the creases a few times. 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.
However, due to the right angles, there are additional flexes you can do. You put your index finger and thumb inside the paper and open it one way, then another way and count. Flexagons are folded paper polygons that have the neat feature of changing colors as they. This title introduces young readers to the sciences, with a creative twist. 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. Fold a magic rose cubea flower in a box origami puzzle. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour. I uploaded this on october 21, which is the birthday of martin gardner, the man who made hexaflexagons popular. The more carefully you fold along the black folding lines, the smoother your. 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.
When you do this, slide the end above the end of the cane to cover the lone 3 triangle. Your strip should now resemble that used to make the trihexaflexagon. Make a diagonal fold, starting at this mark, with the long side of your strip. How to make a hexahexaflexagon geometric toys to make aunt. Hexaflexagons amazing shapes investigation ib maths. Equilateral means that all 3 sides are the exact same length. Melipat hexaflexagon print edit send fan mail to authors. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. I have used the 12 zodiac months with 4 symbol sets for each zodiac month to construct the faces of this flexagon.
With this six sided version, start by folding 6 on 6, 5 on 5 and 4 on 4. Step 2, fold equilateral triangles into your paper. A flexagon is a polygon folded out of paper in such a way that there are three patterned faces. Manual do mundo comunicacao ltda caixa postal 77795. This model celebrates all hexaflexagons with 6 or less faces. 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. Bc163 book is in good conditionclean pages ships same day or next available day. 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. Start from the state where 2s are on one side and 3s are on the other.
Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. Flexagon calendar the flexagon calendars are probably the most interactive or most fun makeityourself calendars in this web site. Mintart arte manual, manualidades con papel, juguetes, sobres. With another fold it starts to make a hexagon of yellow triangles. Print blank flexagon pattern on one sheet of paper, singlesided. This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
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