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