Diagrams were created by origami resource center using the templates from. How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. Bruce mclean first published an article on the vflex in 1979 with a more recent article mapping the 9 sided hexaflexagon using the pinch flex and vflex. Origami hexaflexagon tutorial how to make a hexaflexagon. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. Its dynamic properties include features of the dynamic properties of the precursor flexagons. Thanks to automation, scripting and manual processes are significantly reduced and often eliminated, increasing the speed and reducing errors, outages, and cost. Download hexaflexagon template for free formtemplate. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. Blank template with instructions also a pdf version.
To do some mathematical investigation you first need to learn how to flex the flexagon correctly. Hexahexaflexagon instructions printing a blank flexagon. Typologies of the popular science web video journal science. We will continue to give you accurate and timely information throughout the crisis, and we will deliver on our mission to help everyone in the world learn how to do anything no matter what. You can pre crease all tria ngles before and after gluing. Make the flexagon and explore it while at the same time learning about computing and computational thinking and how it can help. Outro importante recurso e a busca no proprio youtube. This origami hexaflexagon is an action model paper design. Rodrigo guimaraes este e o canal do manual do mundo. This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. Fold back along line ab, and then back along line cd, yielding figure 4 and then 5. Find other professionally designed templates in tidyform. 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. Also, the flexing action is so therapeutic that you wont want to stop.
Fold and glue the hexahexaflexagon as described and shown below. For example, here are the six faces of one of my own hexaflexagons. Fold so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. However, due to the right angles, there are additional flexes you can do. As 34 melhores imagens em caleidociclo caleidoscopios, origami. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. Pentahexaflexagon calendar this pentahexaflexagon calendar was created by ralph jones. Color the triangles using any 6 colors in the pattern shown below. Hexaflexagon hexaflexagono 3d instrucoes em portugues pt br. A hexahexaflexagon is a flexagon made of six sides each containing six smaller triangles. This year, there will be hexaflexagon parties in homes and schools all over the world. 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. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. Below is a diagram mapping out the states of the 5 sided hexaflexagon using the pinch flex, vflex, tuck flex and pyramid shuffle.
Your strip should now resemble that used to make the trihexaflexagon. Ser pai e segundafeira, abril 27, 2015 manual do historiaplena encorajando gente disposta a fazer a travessia pelo mar em. One hexahexaflexagon, constructed from an irregular paper strip, is almost identical to the one shown above, except that all. 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.
Fold the long strip back at a it now points down, and then up at b. Start your career in graphic design with the wonderhowtos beginnerss guide to photoshop course. I find it can be easier especially if you use a fast drying glue to leave the inside uncut until after gluing together. Manual do mundo comunicacao ltda caixa postal 77795. They do require cutting and gluing so they are not truly origami. Make the arc for the final points of the triangles. All triangles with the same number must be the same color. Videos novos todas as tercas e, quinzenalmente, aos sabados, as 11h30. Place the strip so that it slants upward and to the right with the side with colors 1, 2, and 3 face up.
The figure can be flexed to show six different faces. The hexaflexagon has 6 triangles meeting in the center. In this video i will how you how to make this origami flexagon with a single sheet of paper. The booklet is written by paul curzon of queen mary university of london based on. Printable hexahexa pdf wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully.
Make a fold from one corner, so that the other corner lands on the first fold 3. If you want to draw your own there are some instructions at the bottom of this page. And i invite you to join in with the hundreds of people to celebrate martin gardners birthday every october 21. 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. Click here to download pentahexaflexagon calendar templates these models require cutting. Constructions front hexahexaflexagon supplies coloring front make the sides of the triangles. Start from the state where 2s are on one side and 3. The discovery of the first flexagon, a trihexaflexagon, is credited to the. Make a line segment long enough for 19 triangles how to makeem. A hexaflexagon is a paper hexagon that is folded from a strip of paper. Hexahexaflexagon template a3 captain musick air scouts.
Tuck the different colored triangle underneath the other one. You make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip in a special way. The faces are numbered such that faces 1, 2, and 3 are the faces of a trihexaflexagon, and adding faces 4, 5, and 6 yields the additional faces of a hexahexaflexagon, etc. If you think hexaflexagons are cool that was just column number one. Fold over the last triangle and glue in place yielding figure 6. A complex flexagon consists of two or more solitary flexagons section 4. The hexahexaflexagon is an example of a complex flexagon. Download a free hexahexaflexagon instructions to make your document professional and perfect. Hexaflexagons amazing shapes investigation ib maths. Repeat the previous step with the long strip pointing upwards. Fold the adjacent likenumbered faces on the back side together, yielding figure 3.
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. Hold the flexagon in two hands, looking down at the top face. 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. Happy hexaflexagon month, in honor of martin gardner. How to make a 3d hexaflexagon tri kaleidocycle i adapted this howto from aussiepapersons video on youtube.
Then fold the third triangle down from the left triangle back. Videos novos todas as tercas e, quinzenalmente, aos sabados. By pinching two triangles together and flattening the other four you can repeatedly turn itself inside out. A hexaflexagon is paper disc that looks like it has two sides, a front and back, but when you flex it, the hexaflexagon reveals six 6 different faces. Push three corners down and in to make three valley folds.
That way, the face numbers remain consistent for a trihexaflexagon, a hexahexaflexagon, a dodecahexaflexagon, or any higher order. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a. You are essentially wrapping the paper into a spiral. Download hexahexaflexagon instructions for free tidyform. Yes, weve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on oct. 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. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. To make this bendy puzzle you will need a cardboard strip of ten equilateral triangles. A biblia da feiticaria o manual completo dos feiticeiros.
Do not open up one side of the flexagon separately before opening up the other. With experimentation, you should be able to find all 6 faces. Flexagons are geometrical puzzles made with paper strips. The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6. From here, two successive pinch flexes give you a triangle with 3 on one side and 2 on the other. 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. Image result for hexaflexagon template pdf colagem, embalagens, papelaria. How to make a 3d hexaflexagon tri kaleidocycle snapguide. Color whatever colors you want, but you might want to color in same pattern. If the file has been modified from its original state, some details may not fully reflect the modified file. The torsion of a complex flexagon is the algebraic sum of the torsions of the constituent flexagons. If unable to align doublesided printing, print front and back patterns on two sheets, singlesided. Integrated and comprehensive toolchain ensures visibility and continuous feedback across all aspects of solution development and delivery. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour.
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