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. Origami hexaflexagon tutorial how to make a hexaflexagon. Outro importante recurso e a busca no proprio youtube. The torsion of a complex flexagon is the algebraic sum of the torsions of the constituent flexagons. Ser pai e segundafeira, abril 27, 2015 manual do historiaplena encorajando gente disposta a fazer a travessia pelo mar em. If the file has been modified from its original state, some details may not fully reflect the modified file. Fold the long strip back at a it now points down, and then up at b. Printable hexahexa pdf wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully. By pinching two triangles together and flattening the other four you can repeatedly turn itself inside out. Blank and decorated hexahexaflexagon template free download.
The discovery of the first flexagon, a trihexaflexagon, is credited to the. 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. The easiest way is to print or photocopy the strip onto light cardboard. How to make a 3d hexaflexagon tri kaleidocycle snapguide.
Hexaflexagon hexaflexagono 3d instrucoes em portugues pt br. Flexagons are geometrical puzzles made with paper strips. Integrated and comprehensive toolchain ensures visibility and continuous feedback across all aspects of solution development and delivery. 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. This origami hexaflexagon is an action model paper design. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. Make a fold from one corner, so that the other corner lands on the first fold 3. Fold over the last triangle and glue in place yielding figure 6. 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.
Hold the flexagon in two hands, looking down at the top face. You are essentially wrapping the paper into a spiral. Thanks to automation, scripting and manual processes are significantly reduced and often eliminated, increasing the speed and reducing errors, outages, and cost. A biblia da feiticaria o manual completo dos feiticeiros. For example, here are the six faces of one of my own hexaflexagons. 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. Pentahexaflexagon calendar this pentahexaflexagon calendar was created by ralph jones. 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. 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 unable to align doublesided printing, print front and back patterns on two sheets, singlesided. This year, there will be hexaflexagon parties in homes and schools all over the world.
Hexaflexagons amazing shapes investigation ib maths. Download hexahexaflexagon instructions for free tidyform. Rodrigo guimaraes este e o canal do manual do mundo. The flexagon calendars are probably the most interactive or most fun makeityourself calendars in this web site. Fold and glue the hexahexaflexagon as described and shown below. How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. You make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip in a special way. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. Also, the flexing action is so therapeutic that you wont want to stop. Hexahexaflexagon template a3 captain musick air scouts.
Place the strip so that it slants upward and to the right with the side with colors 1, 2, and 3 face up. 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. Diagrams were created by origami resource center using the templates from. Download a free hexahexaflexagon instructions to make your document professional and perfect. Blank template with instructions also a pdf version. Hexahexaflexagon instructions printing a blank flexagon. Then fold the third triangle down from the left triangle back. This may lead to panels from different faces getting mixed together. If you think hexaflexagons are cool that was just column number one. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. Start from the state where 2s are on one side and 3. However, due to the right angles, there are additional flexes you can do.
Tuck the different colored triangle underneath the other one. Happy hexaflexagon month, in honor of martin gardner. To do some mathematical investigation you first need to learn how to flex the flexagon correctly. How to make a trihexaflexagon folding a 60 o angle 60o 1 2 3 1.
The hexaflexagon has 6 triangles meeting in the center. And i invite you to join in with the hundreds of people to celebrate martin gardners birthday every october 21. Color whatever colors you want, but you might want to color in same pattern. Repeat the previous step with the long strip pointing upwards. The figure can be flexed to show six different faces. From here, two successive pinch flexes give you a triangle with 3 on one side and 2 on the other. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a. They do require cutting and gluing so they are not truly origami. Its dynamic properties include features of the dynamic properties of the precursor flexagons.
As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. In this video i will how you how to make this origami flexagon with a single sheet of paper. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour. Fold the adjacent likenumbered faces on the back side together, yielding figure 3. Your strip should now resemble that used to make the trihexaflexagon. A complex flexagon consists of two or more solitary flexagons section 4. All triangles with the same number must be the same color. How to make a 3d hexaflexagon tri kaleidocycle i adapted this howto from aussiepapersons video on youtube. If the file has been modified from its original state, some details may not fully reflect the.
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. Below is a diagram mapping out the states of the 5 sided hexaflexagon using the pinch flex, vflex, tuck flex and pyramid shuffle. Videos novos todas as tercas e, quinzenalmente, aos sabados, as 11h30. Typologies of the popular science web video journal science. Find other professionally designed templates in tidyform. That way, the face numbers remain consistent for a trihexaflexagon, a hexahexaflexagon, a dodecahexaflexagon, or any higher order. Image result for hexaflexagon template pdf colagem, embalagens, papelaria. The booklet is written by paul curzon of queen mary university of london based on. The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6. A hexaflexagon is a paper hexagon that is folded from a strip of paper.
Download hexaflexagon template for free formtemplate. I find it can be easier especially if you use a fast drying glue to leave the inside uncut until after gluing together. With experimentation, you should be able to find all 6 faces. Yes, weve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on oct. This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. Make a line segment long enough for 19 triangles how to makeem. Constructions front hexahexaflexagon supplies coloring front make the sides of the triangles.
Videos novos todas as tercas e, quinzenalmente, aos sabados. One hexahexaflexagon, constructed from an irregular paper strip, is almost identical to the one shown above, except that all. To make this bendy puzzle you will need a cardboard strip of ten equilateral triangles. Click here to download pentahexaflexagon calendar templates these models require cutting. Start your career in graphic design with the wonderhowtos beginnerss guide to photoshop course. During these challenging times, we guarantee we will work tirelessly to support you. As 34 melhores imagens em caleidociclo caleidoscopios, origami. 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. Fold back along line ab, and then back along line cd, yielding figure 4 and then 5. 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. A hexahexaflexagon is a flexagon made of six sides each containing six smaller triangles. Color the triangles using any 6 colors in the pattern shown below. 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. If you want to draw your own there are some instructions at the bottom of this page.
Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. Fold so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. Do not open up one side of the flexagon separately before opening up the other. Make the arc for the final points of the triangles. 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. Push three corners down and in to make three valley folds. The hexahexaflexagon is an example of a complex flexagon. Manual do mundo comunicacao ltda caixa postal 77795.