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. It is very easy to create if you download and printout the template. This instructable will deal with hexaflexagons primarily although other types of flexagons can be achieved. The four faces provide opportunity for design creativity. For other and easier to make versions of the flexagon, try a trihexaflexagon. Print blank flexagon pattern on one sheet of paper, singlesided. So download our chalkboard powerpoint templates with clear instructions of folding with different color labels that will make your job of creating interesting. 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. This model celebrates all hexaflexagons with 6 or less faces.
You can and should pre crease all triangles before and after gluing. One hexahexaflexagon, constructed from an irregular paper strip, is almost identical to the one shown above, except that all 18 configurations can be flexed on this version. The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6. Youll also notice that some faces appear more often than others. If youre behind a web filter, please make sure that the domains. Download a copy of the coloured hexahexaflexagon template from. Information from its description page there is shown below. If youre seeing this message, it means were having trouble loading external resources on our website.
Feb 23, 2014 3 2017 update to unleash the hexahexaflexagon essence of your hexahexaflexagon, make sure you rotate it and flex it through the other three folds. This flexagon is not nearly as widely known and folded, but it is almost as easy to cut out and fold up as the classic. Flexagons are paper shapes that can be folded to reveal hidden faces and hexaflexagons themselves have six sides. Make the flexagon and explore it while at the same time learning about computing and computational thinking and how it can help. Download blank and decorated hexahexaflexagon template for free. Instructions of how to make and flex this hexahexaflexagon, as well as its link to computer science can be found at. Computational thinking hexahexaflexagon automata pdf this activity is closely linked to. Hexaflexagon template 3 free templates in pdf, word, excel. As you fold it up and unfold it, you magically reveal new sides as the flexagon changes colour.
May 20, 2015 a hexahexaflexagon is a flexagon made of six sides each containing six smaller triangles. How to make a hexahexaflexagon geometric toys to make aunt. 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. Congratulations, your computer is equipped with a pdf portable document format reader. Download free printable hexaflexagon template samples in pdf, word and excel formats. Lines show the places you can move between by folding and unfolding the flexagon. The hexahexaflexagon automata activity pdf forthcoming booklet. You should be able to view any of the pdf documents and forms. Hexahexaflexagon instructions printing a blank flexagon. By pinching two triangles together and flattening the other four you can repeatedly turn itself inside out. This special kind of map is called a finite state machine.
As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. Printable template making a flexagon print a template. The template of this flexagon is available to download. Download a basic template for making a hexahexaflexagon cs4fn. Other hexaflexagons edit while the most commonly seen hexaflexagons have either three or six faces, variations exist with any number of faces. This file is licensed under the creative commons attributionshare alike 4. 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. You can pre crease all tria ngles before and after gluing. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a. Todays topic will be regarding a very intriguing paper novelty, the hexaflexagon. All of aunt annies project patterns are designed to be printed on standard lettersize paper 8.
Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. Find out what they have to do with computational thinking by downloading the cs4fn booklet. The free acrobat reader is easy to download and can be freely distributed by anyone. Search online for flexagon, hexaflexagon, or trihexaflexagon templates. The templates for all the flexagons can be downloaded from. Hexaflexagon template 3 free templates in pdf, word.
Other hexaflexagons edit while the most commonly seen hexaflexagons have either three or. Make the flexagon and explore it while at the same time learning about computing and. I find it can be easier especially if you use a fast drying glue to leave the inside uncut until after gluing together. Download and create your own document with hexaflexagon template 32kb 4 pages for free. For other and easier to make versions of the flexagon, try a tri hexaflexagon. Some sides can appear in more than one state with a different centre. Social media systems and democracy october 15, 2017. Trihexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 10 equilateral triangles a. A standard flexagon is a folded piece of paper in which the. Hexaflexagons amazing shapes investigation ib maths. At any time only 2 sides are visible, but a hexahexaflexagon actually has six sides. Computational thinking hexahexaflexagon automata pdf this activity is closely linked to the tour guide and the knights tour activities. The figure can be flexed to show six different faces. After over a year of inactivity on instructables, i am happy to say i will be making more in the future.
The hexahexaflexagon automata activity teaching london. Hold the flexagon in two hands, looking down at the top face. 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. This session comes with linked bookletsactivity sheets that you can download. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. Download and create your own document with hexahexaflexagon instructions 853kb 4 pages for free. They were first discovered in 1939 by arthur stone, who set up a flexagon committee to investigate their properties. Free download hexaflexagon template pdf, 873kb and customize with our editable templates, waivers and forms for your needs. Pick the patterns that you like the best and then print out the template. Hexaflexagons look at first glance to be somewhat prosaic origami shapes but like mobius strips they hide some surprises. Aug 20, 2006 printable hexahexa pdf wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully. A hexaflexagon is a paper hexagon that is folded from a strip of paper. The committee consisted of the famous mathematicians and physicists, b.
Make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. Any of these searches should yield many patterned templates to choose from. Use these free templates or examples to create the perfect professional document or project. Push three corners down and in to make three valley folds. Download hexaflexagon template for free formtemplate. Blank template with instructions also a pdf version. When printing from adobe reader, you may need to select autorotate and center or choose paper source by pdf page size to ensure the best fit. Blank and decorated hexahexaflexagon template free download. Download blank and decorated hexahexaflexagon template for. The 12gon discovery of ann schwartz is one of an infinite family of dodecaflexagons with a lot of similarity to traditional hexaflexagons but more dynamic behavior when flexing. A well folded model will flex very smoothly with well formed faces. Yes, weve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on oct. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided.
Printable hexahexa pdf wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. 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. Download free printable blank and decorated hexahexaflexagon template in pdf, word, excel.
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