Nmanual do mundo pdf do hexahexaflexagon folding class

Two of the yellow triangles have a letter a on them. 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. Start from the state where 2s are on one side and 3. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. This model celebrates all hexaflexagons with 6 or less faces. Repeat until all three sets of 4, 5, and 6 triangles have been folded over. At any time only 2 sides are visible, but a hexahexaflexagon actually has six sides. Free howto video watch my free book folding class on youtube. This origami hexaflexagon is an action model paper design. You can reveal new, different coloured sides by flexing it. You should be able to find a flap that opens up flat into a diamond shape with an extra triangle sticking off the edge. The flexagon will begin to open from the center as do the petals of a flower.

Do likewise with the first and second triangles labeled 5 and the first and second labeled 6. Follow steps in the tri hexaflexagon step by step tutorial. Make the flexagon and explore it while at the same time learning about computing and computational thinking and how it can help. However, due to the right angles, there are additional flexes you can do.

A flexagon is a polygon folded out of paper in such a way that there are three patterned faces. Your strip should now resemble that used to make the trihexaflexagon. Mar 09, 2015 bend the first triangle labeled 4 along the edge it share with the second triangle labeled 4. Make folds along all three diagonals of the hexagon and fold them back and forth a few times. And to keep yourself amused during your math class you start playing with them. The assembly is done by first folding back and forth all the joints, and then folding together adjacent identical numbers, including pairs that appear in the folded strip. 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. Custom hexaflexagon folding instructions 2 paper crafts.

How to make an origami hexaflexagon you might think making an origami hexafelagon is hard and complicated, but its actually really easy and simple to make. To do some mathematical investigation you first need to learn how to flex the flexagon correctly. There are a few different hexaflexagons you can fold, among which the trihexaflexagon and hexaflexagon are the easiest to master. Hexahexaflexagons are strange folded objects that have hidden sides. Hexaflexagons amazing shapes investigation ib maths. In this video i will how you how to make this origami flexagon with a single sheet of paper. You make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip in a special way. 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. You dont absolutely have to do this step, but it makes it much easier to play with the flexagon if you do. Free brochure layout guidelines for all folding options at psprint. 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.

You are essentially wrapping the paper into a spiral. To make the hexaflexagon, cut out the the pieces from the following pages and. 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. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a. Dec 02, 2016 dec 2, 2016 custom hexaflexagon folding instructions 2. Making flexagons is not only educational, but rather fun as well. Colouring in the latest relaxationrage, dontcha know, and ive got the bug. What is this, and why do you want it under your floors. When you do this, slide the end above the end of the cane to cover the lone 3 triangle. Folding a hexaflexagon is a fun, quick craft that can trigger a higher appreciation of geometry. Download hexaflexagon template for free formtemplate. Why does the crease pass through the vertex and divide the.

Instead of folding 9 or 10 triangles, fold 19 triangles. You start with a ring drawn on a piece of folded paper. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. If the measurements and cuts were made from the proper corners you will unfold an octagon that looks like a diamond when folded up. 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 instructions printing a blank flexagon. The hexaflexagon has 6 triangles meeting in the center. For those who are not much of a visual learner, this tutorial is recommended for you. To make a hexahexaflexagon, start by cutting out one of the templates provided, shown in the image below. 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. How to fold a hexahexa flexagon captain musick air scouts.

Vi hart just started a series of videos on hexaflexagons. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. Dec 2, 2016 custom hexaflexagon folding instructions 2. 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. How to make a trihexaflexagon folding a 60 o angle 60o 1 2 3 1.

As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. Origami hexaflexagon tutorial how to make a hexaflexagon. Oct 22, 2014 how to fold a hexahexaflexagon duration. Thus the search strategies succeed for the hp model but the design strategy does not.

Make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. Feb 23, 2014 1 after you number the triangles 123123123. Generally its knitting or sewing, but recently its been adult colouring in. 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 so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. 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. Fold the strip in a twisty foldy loop so that the numbers are now lined up. You should end up with something that looks like this. To make a flexagon you only need some paper, a template, scissors, and glue. 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. Hexaflexagon template 3 free templates in pdf, word. Notice that you should finish up with 4 b triangles next to each other.

Make a fold from one corner, so that the other corner lands on the first fold 3. Download free printable hexaflexagon template samples in pdf, word and excel formats. 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. Paper clips three can be used to hold the folded strip during the folding. Print blank flexagon pattern on one sheet of paper, singlesided. Free download hexaflexagon template pdf, 873kb and customize with our editable templates, waivers and forms for your needs. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. Find out what they have to do with computational thinking by downloading the cs4fn booklet. The booklet is written by paul curzon of queen mary university of london based on. Pdf double gate fold brochures print layout templates. Dec 26, 2019 under your fourth one, make another fold. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. Pa ge 33 hexa hexaflexagon variatio n 3 3 this is a great flexagon, easy to fold, glue and the final model is excellent.

Then fold the third triangle down from the left triangle back. Anyway, theres lots of cool things you can do with a strip of paper. With careful folding, you can make your own flexagon and impress your friends with your new geometric toy. A hexaflexagon is a magic mathematical shape that you can keep flipping inside out to reveal hidden pictures. Open the flexagon from the edge and bend the triangles back and outward from the center as you would the petals of a flower. There are two types of hexaflexagons, one is a flat which is sometimes called a flexagon, and the other one is an origami one which is 3d. You can and should pre crease all triangles before and after gluing. In the evenings, while i devour netflix, ill often have something engaging but brain numbing to help wind down. Tuck the different colored triangle underneath the other one. So you cut off the extra and end up with all these strips of paper. How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. If a flexagon has not been folded accurately, it may need help flexing. 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.

No matter the size of your budget and your job, we have a quantity option that will meet your needs. Foldable wireless mouse users manual details for fcc id 2abha0057 made by. Printable hexahexa pdf wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully. The mouse will go into power saving mode after 2 minutes of. The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6.

Push three corners down and in to make three valley folds. The better you do it, the better your flexagon will work. Hold the flexagon in two hands, looking down at the top face. Students use problemsolving strategies to build a mathematical puzzle called the hexaflexagon, a hexagon with two sides of different colors that can be flexed. How to make a hexahexaflexagon by lauren evert on prezi.