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 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. Hexahexaflexagons hexahexaflexagons are strange folded objects that have hidden sides. And to keep yourself amused during your math class you start playing with them. I uploaded this on october 21, which is the birthday of martin gardner, the man who made hexaflexagons popular. Click here to download pentahexaflexagon calendar templates these models require cutting and pasting, so they are not origami.
Printable template making a flexagon print a template. Hexahexaflexagon variation a be sure to check this one out it is a celebration of all 6 hexaflexagons with 6 or less faces. Make a line segment long enough for 19 triangles how to makeem. So you cut off the extra and end up with all these strips of paper. Do not open up one side of the flexagon separately before opening up the other. This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. Make the flexagon and explore it while at the same time learning about computing and computational thinking and how it can help. These models require cutting and pasting, so they are not origami. 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.
Commons is a freely licensed media file repository. Version 1 the original hexaflexagon was one of the items made for events we attended during. Find out what they have to do with computational thinking by downloading the cs4fn booklet. Constructions front hexahexaflexagon supplies coloring front make the sides of the triangles. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper.
Any of these searches should yield many patterned templates to choose from. Make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. Pentahexaflexagon calendar this pentahexaflexagon calendar was created by ralph jones. 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. Print blank flexagon pattern on one sheet of paper, singlesided. To do some mathematical investigation you first need to learn how to flex the flexagon correctly.
Feb 23, 2014 1 after you number the triangles 123123123. Rodrigo guimaraes este e o canal do manual do mundo. Information from its description page there is shown below. Start from the state where 2s are on one side and 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. To make this bendy puzzle you will need a cardboard strip of ten equilateral triangles. Hold the flexagon in two hands, looking down at the top face. Push the opposite vortex down and toward the center, then open the. Blank and decorated hexahexaflexagon template free download. Manual do mundo comunicacao ltda caixa postal 77795. Aug 20, 2006 printable hexahexa pdf wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully. Hexahexaflexagons are strange folded objects that have hidden sides. This model celebrates all hexaflexagons with 6 or less faces. The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6.
Vi hart just started a series of videos on hexaflexagons. This origami hexaflexagon is an action model paper design. Then fold the third triangle down from the left triangle back. At the same time pinch to make three mountain folds. Even though hexagon has been designed to be easy to use while providing advanced functions, there is nothing better than some handson training to complete the reference manual. Make a fold from one corner, so that the other corner lands on the first fold 3. Flexagons are folded paper polygons that have the neat feature of changing colors as they are flexed. Hexahexaflexagon craft project crafts, craft projects.
The hexaflexagon has 6 triangles meeting in the center. 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. Make the arc for the final points of the triangles. The booklet is written by paul curzon of queen mary university of. The figure can be flexed to show six different faces.
If the file has been modified from its original state, some details may not fully reflect the modified file. Free download hexaflexagon template pdf, 873kb and customize with our editable templates, waivers and forms for your needs. The flexagons in this project have six colors faces. Tuck the different colored triangle underneath the other one. The easiest way is to print or photocopy the strip onto light cardboard. One of many interesting things about this flexagon is that if you start with the e face on top and the f face on. 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. You can and should pre crease all triangles before and after gluing. Search online for flexagon, hexaflexagon, or trihexaflexagon templates. To flex the hexaflexagon, choose two adjacent triangles and push the outside edges down to form a rooftop ridge.
Hexahexaflexagon craft project craft projects, paper. Your strip should now resemble that used to make the trihexaflexagon. However, due to the right angles, there are additional flexes you can do. Push three corners down and in to make three valley folds. Printable hexahexa pdf wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully.
Diagrams were created by origami resource center using the templates from. Hexahexaflexagon instructions printing a blank flexagon. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. Paisagens maravilhosaslindas paisagenslugares ao redor do mundomaravilhas do. You are essentially wrapping the paper into a spiral. You make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip in a special way. User guide first of all, welcome to this tutorial series dedicated to hexagon. Anyway, theres lots of cool things you can do with a strip of paper. Tape the hexaflexagon together along the outside edges of the triangles, folding the tape over the edge from front to back see figure 7. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. 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. Videos novos todas as tercas e quinzenalmente aos sabados. Click here to download pentahexaflexagon calendar templates.
Oct 21, 2012 this video will show you how to make your very own hexahexaflexagon. What is this, and why do you want it under your floors. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour. 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. Some sides can appear in more than one state with a different centre. To create this article, 19 people, some anonymous, worked to edit and improve it over time. 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.
This video will show you how to make your very own hexahexaflexagon. Fold so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. Using graphs to explore the start of a simple map of how to. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons.
Videos novos todas as tercas e, quinzenalmente, aos sabados, as 11h30. Download hexaflexagon template for free formtemplate. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a. 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.
The wikihow video team also followed the articles instructions, and validated that they work. 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. 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. A hexaflexagon is a paper hexagon that is folded from a strip of paper.
Videos novos todas as tercas e, quinzenalmente, aos sabados. Dec 26, 2019 wikihow is a wiki, similar to wikipedia, which means that many of our articles are cowritten by multiple authors. This may lead to panels from different faces getting mixed together. Instructions and patterns for making hexahexaflexagons. Blank template with instructions also a pdf version. Hexaflexagon cushion pdf knitting and crochet pattern etsy. Students use problemsolving strategies to build a mathematical puzzle called the hexaflexagon, a hexagon with two sides of different colors that can be flexed to produce six different sides of six different colors.
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