Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. Please practice handwashing and social distancing, and check out our resources for adapting to these times. Search the web for hexaflexagon videos showing how to flex. That way, the face numbers remain consistent for a trihexaflexagon, a hexahexaflexagon, a dodecahexaflexagon, or any higher order. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. Yes, weve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on oct. 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. Triflexagons tetraflexagons pentaflexagons hexaflexagons heptaflexagons. Color the triangles using any 6 colors in the pattern shown below. Tuck the different colored triangle underneath the other one. March 24, 20 kyle sykes washington university math circle places where templates came from are listed near the end.
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. Draw different designs in each row of triangular sides. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour. 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. Hexahexaflexagon template a3 captain musick air scouts. Hold the flexagon in two hands, looking down at the top face. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. Download hexahexaflexagon instructions for free tidyform. Happy hexaflexagon month, in honor of martin gardner. Then fold the third triangle down from the left triangle back. Download hexaflexagon template for free formtemplate. Dec 2, 2016 blank and decorated hexahexaflexagon template. If the file has been modified from its original state, some details may not fully reflect the.
Manual do mundo comunicacao ltda caixa postal 77795. Learn how to make a really fun geometric toya sixsided, sixfaced flexagon called a hexahexaflexagon. Find other professionally designed templates in tidyform. Hexahexaflexagon instructions printing a blank flexagon. Constructions front hexahexaflexagon supplies coloring front make the sides of the triangles. Theyre simple to create from a piece of paper by cutting, folding and pasting. From this page, you can get to templates for a wide variety of flexagons of different shapes, new types of flexes, interesting puzzles and some theory. Hexaflexagon template the file is attached below and was designed by scientific. To make a hexahexaflexagon you start with a strip of paper the tape used in adding machines serves admirably which is divided into 19 equilateral triangles see fig. Blank template with instructions also a pdf version. You can pre crease all tria ngles before and after gluing. How to make a hexahexaflexagon geometric toys to make aunt.
The template will have a series of triangles that are numbered according to the side with which they correspond. How to make a flexagon geometric toys to make aunt annies. You should go visit these sites to learn more about. Make the arc for the final points of the triangles.
Make the flexagon and explore it while at the same time learning about computing and. The 3 extra configurations are impossible due to the arrangement of the 4, 5, and 6 tiles at the back flap. Those templates are collected online so we do not claim the ownership of those templates. Glue the a 1 triangle over from the back b 1 triangle such that the as should be on one face of the completed flexagon, the bs on the back. Cut out the pattern so that you have three strips of 7 triangles each. Wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully.
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. 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 last is badly disorganized because its a dump of links i collected during my hexaflexagon addiction. A hexaflexagon is a paper hexagon that is folded from a strip of paper. Hexahexaflexagons hexahexaflexagons are strange folded objects that have hidden sides. The first one is a flexagon from the app, im unsure about the second and third but they do show technique. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. Places where templates came from are listed near the end. This instructable will deal with hexaflexagons primarily although other types of flexagons can be achieved. Pdf petal 101 paper flower template trace and cut files 2 component centers included making giant paper flower hibiscus diy for. Your browser does not currently recognize any of the video formats available.
Make a line segment long enough for 19 triangles how to makeem. Fold so that the triangles labelled 4 face each other, as do the triangles labelled 5 and the triangles labelled 6. In some positions you will not be able to open the center. A trihexaflexagon will have triangles numbered 1, 2, and 3. You are essentially wrapping the paper into a spiral. This special kind of map is called a finite state machine.
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. Videos novos todas as tercas e, quinzenalmente, aos sabados, as 11h30. Use the template search on the top to find the customized templates that fit your needs with absolutely no cost. Make sure the template is numbered to indicate which triangles will make up the same pattern. Color the pattern template as you like with markers, colored pencils or crayons.
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. Most people start with the pinch flex on a triangle hexaflexagon or square tetraflexagon. So say youre arthur stone, and youre showing your hexaflexagon to your friend, tuckerman, and youve already blown his mind by showing him it has three sides orange, yellow, pink, orange, yellow, pink but now youre about to extra super blow his mind by showing him that theres even more colors. Instructions of how to make and flex this hexahexaflexagon, as well as its link to computer science can be found at. Speedy template provides all kinds of legal templates, forms and waivers in different editable formats. Rental application template 12 documents offer to purchase real estate form 76 documents last will and testament form 60 documents bill of sale form 234 documents cv template 196 documents menu template 83 documents certificate template 456 documents sop template 4 documents pay stub template 12 documents business template. All triangles with the same number must be the same color. Download a free hexahexaflexagon instructions to make your document professional and perfect. In this project we make a trihexaflexagona sixsided polygon hexagon with. 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.
On the stars pattern, half of the fold lines are marked on each side, so you will. How to make a hexahexaflexagon step 7 fold the forth triangle from the right back. Glue the template onto cardboard cut out cardboard 3. Do not open up one side of the flexagon separately before opening up the other. For a more uptodate page featuring a whole range of flexagons, a special video and detailed instructions and templates visit kjartan poskitts flexomania. The hexaflexagon has 6 triangles meeting in the center. Your strip should now resemble that used to make the trihexaflexagon. This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.