Manual do mundo pdf do hexahexaflexagon patterns

I uploaded this on october 21, which is the birthday of martin gardner, the man who made hexaflexagons popular. A hexaflexagon is a paper hexagon that is folded from a strip of paper. January 20 knitted version added the pattern now contains three variations crochet hexaflexagon crochet hexaflexacube knitted hexaflexagon a hexaflexagon is a curiosity, usually made in paper. Hexaflexagons amazing shapes investigation ib maths. I adapted this howto from aussiepapersons video on youtube.

Actually, my brother has been trying to make the normal 6sided hexaflexagons, but each time he has succeeded at making one that has 7 sides. How to make a 3d hexaflexagon tri kaleidocycle snapguide. Pick the patterns that you like the best and then print out the template. Manual do mundo comunicacao ltda caixa postal 77795. At the same time pinch to make three mountain folds. Unfortunately, this probably does not work for your question because it just looks like a 2d hexaflexagon but it has a small triangle sticking out, like a shark fin, the. At any time only 2 sides are visible, but a hexahexaflexagon actually has six sides. Using graphs to explore the start of a simple map of how to. Version 1 the original hexaflexagon was one of the items made for events we attended during mathsyear2000. Tuckerman managed to make a workable model with 48. After assembling the hexahexaflexagon a lot of the comments are about difficulties with getting the right numbers so if you do this then there will be less. It will make it easier to recognize folding patterns and in flexing expectations. You should be able to find a flap that opens up flat into a diamond shape with an extra triangle sticking off the edge.

How to make a 3d hexaflexagon tri kaleidocycle i adapted this howto from aussiepapersons video on youtube. Fold so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. Unfortunately, this probably does not work for your question because it just looks like a 2d hexaflexagon but it has a small triangle sticking out, like a shark fin, therefore not being a hexaflexagon. Sep 27, 20 hexaflexagons amazing shapes investigation. Blank template with instructions also a pdf version. If unable to align doublesided printing, print front and back patterns on two sheets, singlesided. Make a fold from one corner, so that the other corner lands on the first fold 3. Students will be using strategies from the scientific method as well as critical thinking skills without necessarily realizing they are doing so as they try to solve the mathematical puzzle.

Color the triangles using any 6 colors in the pattern shown below. Print front and back patterns on one sheet of paper, doublesided. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. Make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. He also found that with a strip of paper cut in a zigzag pattern.

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 below is a diagram mapping out the states of the 5 sided hexaflexagon using the. How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. Find out what they have to do with computational thinking by downloading the cs4fn booklet. It is a crochet version of the paper hexaflexagons we have made with hundreds of kids over the years. You make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip in a special way. If youre behind a web filter, please make sure that the domains. The psychodynamic diagnostic manual 2nd edition pdm. Place the strip so that it slants upward and to the right with the side with colors 1, 2, and 3 face up. Information from its description page there is shown below. Now fold the three pairs of e triangles and then the last three f triangles. The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6. 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 and glue the hexahexaflexagon as described and shown below.

I could never bring myself to sell some boring branded shirt that i dont feel adds more to the world than any other random shirt, and i also wouldnt want to do it unless i could have shirts available for a range of body types, which isnt generally the economic thing to do. The flexagons in this project have six colors faces. Some sides can appear in more than one state with a different centre. Repeat the previous step with the long strip pointing upwards. All triangles with the same number must be the same color. People have been exploring the hexaflexagon using the pinch flex and the tuckerman traverse since the 1930s see the wikipedia article for more information. Pdf typologies of the popular science web video researchgate. Grab the top corners in the center of the flexagon and pull them open, revealing the new pattern. Hold the flexagon in two hands, looking down at the top face. Fold the long strip back at a it now points down, and then up at b.

You can also print a blank template and color it the way you would like. Search online for flexagon, hexaflexagon, or trihexaflexagon templates. You will have a pattern as for a pentahexaflexagon. Your strip should now resemble that used to make the trihexaflexagon.

Download hexaflexagon template for free formtemplate. Make a line segment long enough for 19 triangles how to makeem. 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. Flexagons are folded paper polygons that have the neat feature of changing faces as they are flexed. There are 18 such possible configurations for triangles with different colors, and they can be seen by flexing the hexahexaflexagon in all possible ways in theory, but only 15 can be flexed by the ordinary hexahexaflexagon. 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. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour. Constructions front hexahexaflexagon supplies coloring front make the sides of the triangles. Taking proper precautions can help avoid a flexacatastrophe. Hexaflexagon cushion pdf knitting and crochet pattern etsy.

I find it can be easier especially if you use a fast drying glue to leave the inside uncut until after gluing together. Flexagons are paper shapes that can be folded to reveal hidden faces and hexaflexagons themselves have six sides. Tuck the different colored triangle underneath the other one. If you do not receive an email within 10 minutes, your email address may not be.

These diagrams do not include the right and left triangle orientations as would be necessary for designing most flexagons. Videos novos todas as tercas e, quinzenalmente, aos sabados, as 11h30. Version 1 the original hexaflexagon was one of the items made for events we attended during. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. Free download hexaflexagon template pdf, 873kb and customize with our editable templates, waivers and forms for your needs. Pdm uses the dsm diagnostic categories but includes accounts of the internal experience of a person presenting for treatment 6, pp. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. Start from the state where 2s are on one side and 3. Youll also notice that some faces appear more often than others.

Typologies of the popular science web video journal science. This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. Interestingly, in a hexahexaflexagon, each of the colored faces can appear in two different orientations such that, if you were to draw a sixpointed a star at the center of your hexagon, it would sometimes appear around the center and sometimes around the outer edges. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. Make the flexagon and explore it while at the same time learning about computing and. Within the hexagon, there are 6 additional facesas opposed to 2 faces on a standard hexagon. Mar 30, 2019 during these challenging times, we guarantee we will work tirelessly to support you. Then fold the third triangle down from the left triangle back. Hexahexaflexagons are strange folded objects that have hidden sides. You can pre crease all tria ngles before and after gluing. 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. Instructions and patterns for making hexahexaflexagons. If the file has been modified from its original state, some details may not fully reflect the modified file.

I do not recommend construction paper because it does not hold up well with repeated folding. The fun bit is to rub out the letters and draw in different coloured patterns on each face. Fold together the three pairs of d triangles, it will look like the pattern for the tetrahexaflexagon. How to make a hexahexaflexagon geometric toys to make aunt. Blank template with instructions also a pdf version hexaflexagontemplateblank.

Push three corners down and in to make three valley folds. Lie your piece of paper as shown in the above diagram and then do these three folds carefully. Cut out the pattern so that you have three strips of 7 triangles each. The hexaflexagon has 6 triangles meeting in the center. Practice flipping the flexagon and see if you can see all three patterns. 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. Wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully. The flexagons in this project have three faces tri and are squareshaped tetra. Print blank flexagon pattern on one sheet of paper, singlesided.

Any of these searches should yield many patterned templates to choose from. Start from the state where 2s are on one side and 3s are on the other. However, due to the right angles, there are additional flexes you can do. The back of the f 2 and d 1 triangles will be on the front and back faces. Push three corners down and in to make three v alley folds. Glue or tape tabs c together and tabs b together to make one long strip. The 3 extra configurations are impossible due to the arrangement of the 4, 5, and 6 tiles at the back flap. Instructions and patterns for making tritetraflexagons.

Do not open up one side of the flexagon separately before opening up the other. With the two triangles pinched towards the center, the flexagon should almost fall open into a new pattern. If not aligned, adjust paper feeder and print again. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. How to make a trihexaflexagon folding a 60 o angle 60o 1 2 3 1. Hexaflexagons look at first glance to be somewhat prosaic origami shapes but like mobius strips they hide some surprises. Blank and decorated hexahexaflexagon template free download. This hexaflexagon activity is a great way to do just that.

Oct 21, 2012 this video will show you how to make your very own hexahexaflexagon. Hexahexaflexagon instructions printing a blank flexagon. Blank template with instructions also a pdf version hexaflexagontemplate blank. The figure can be flexed to show six different faces.

Make the arc for the final points of the triangles. Videos novos todas as tercas e, quinzenalmente, aos sabados. 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. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a. With the increasing number of hexaflexagons finding their way into homes and schools, its important to be aware of proper flexagation regulations when engaging in flexagon construction and use.

Diagram of a tuckerman traverse on a hexahexaflexagon by lengthening the chain of triangles, the committee dis covered, one can make flexagons with 9,12,15 or more faces. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. You are essentially wrapping the paper into a spiral. Hexahexaflexagon craft project paper crafts origami. Pdf this article provides a first statistical analysis of the typologies and. Flexagons are folded paper polygons that have the neat feature of changing colors as they are flexed.