Instructions of how to make and flex this hexahexaflexagon, as well as its link to computer science can be found at. Make the flexagon and explore it while at the same time learning about computing and. A standard flexagon is a folded piece of paper in which the. 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. 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. Download blank and decorated hexahexaflexagon template for free. Download and create your own document with hexahexaflexagon instructions 853kb 4 pages for free. If youre seeing this message, it means were having trouble loading external resources on our website. You can pre crease all tria ngles before and after gluing. The templates for all the flexagons can be downloaded from. Computational thinking hexahexaflexagon automata pdf this activity is closely linked to the tour guide and the knights tour activities. Flexagons are paper shapes that can be folded to reveal hidden faces and hexaflexagons themselves have six sides. They were first discovered in 1939 by arthur stone, who set up a flexagon committee to investigate their properties.
Download a copy of the coloured hexahexaflexagon template from. How to make a hexahexaflexagon geometric toys to make aunt. The figure can be flexed to show six different faces. The four faces provide opportunity for design creativity. This instructable will deal with hexaflexagons primarily although other types of flexagons can be achieved. Hexaflexagons are sixsided shapes made from folded paper which may be flexed or folded, and opened out to reveal hidden faces. Blank template with instructions also a pdf version. 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. Hexahexaflexagon automata is a full colour booklet on computational thinking based around exploring strange mathematical paper models called flexagons.
Some sides can appear in more than one state with a different centre. This model celebrates all hexaflexagons with 6 or less faces. After over a year of inactivity on instructables, i am happy to say i will be making more in the future. Youll also notice that some faces appear more often than others. The free acrobat reader is easy to download and can be freely distributed by anyone. You can and should pre crease all triangles before and after gluing. Hexahexaflexagon instructions printing a blank flexagon flexing assembly print blank flexagon pattern on one sheet of paper, singlesided. 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. You should be able to view any of the pdf documents and forms.
Hexaflexagon template 3 free templates in pdf, word. 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. Blank and decorated hexahexaflexagon template free download. Congratulations, your computer is equipped with a pdf portable document format reader. Use these free templates or examples to create the perfect professional document or project.
Pick the patterns that you like the best and then print out the template. It is very easy to create if you download and printout the template. Yes, weve been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on oct. Hexaflexagons this page is a workinprogress collection of free templates and videos about hexaflexagons. 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. Make the flexagon and explore it while at the same time learning about computing and computational thinking and how it can help. Social media systems and democracy october 15, 2017. Printable template making a flexagon print a template. The committee consisted of the famous mathematicians and physicists, b. 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. Aug 20, 2006 printable hexahexa pdf wikipedia contains a nice printable pdf template for a hexahexaflexagon that we followed successfully.
Any of these searches should yield many patterned templates to choose from. Free download hexaflexagon template pdf, 873kb and customize with our editable templates, waivers and forms for your needs. Trihexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 10 equilateral triangles a. Search online for flexagon, hexaflexagon, or trihexaflexagon templates. For other and easier to make versions of the flexagon, try a tri hexaflexagon. Download a basic template for making a hexahexaflexagon cs4fn. The hexahexaflexagon automata activity pdf forthcoming booklet. Find out what they have to do with computational thinking by downloading the cs4fn booklet. Hexaflexagon template 3 free templates in pdf, word, excel. As the sides are flexed, or moved, they reveal more surfaces than a standard hexagon would. At any time only 2 sides are visible, but a hexahexaflexagon actually has six sides. Other hexaflexagons edit while the most commonly seen hexaflexagons have either three or six faces, variations exist with any number of faces. So download our chalkboard powerpoint templates with clear instructions of folding with different color labels that will make your job of creating interesting. A hexahexaflexagon is a flexagon made of six sides each containing six smaller triangles.
Free download of hexaflexagon template 2 pdf document available in pdf format. Print blank flexagon pattern on one sheet of paper, singlesided. A hexaflexagon is a paper hexagon that is folded from a strip of paper. By pinching two triangles together and flattening the other four you can repeatedly turn itself inside out. Download free printable hexaflexagon template samples in pdf, word and excel formats. Download and create your own document with hexaflexagon template 32kb 4 pages for free. Computational thinking hexahexaflexagon automata pdf this activity is closely linked to. Lines show the places you can move between by folding and unfolding the flexagon.
This page is a workinprogress collection of free templates and videos about hexaflexagons. This file is licensed under the creative commons attributionshare alike 4. All of aunt annies project patterns are designed to be printed on standard lettersize paper 8. Hexahexaflexagon is constructed by cutting a strip of paper so that it may be marked off in 19 triangles a.
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. Hold the flexagon in two hands, looking down at the top face. This special kind of map is called a finite state machine. This session comes with linked bookletsactivity sheets that you can download. If youre behind a web filter, please make sure that the domains.
Adobe portable document format pdf is a universal file format that. Download blank and decorated hexahexaflexagon template for. Hexahexaflexagon instructions printing a blank flexagon. Hexaflexagons amazing shapes investigation ib maths. May 20, 2015 a hexahexaflexagon is a flexagon made of six sides each containing six smaller triangles. Make a red and yellow hexahexaflexagon by folding and gluing a multicoloured paper strip, following the algorithm. 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. Very, very, very addictive you can use any rectangle to make this, i am just using printer paper. Todays topic will be regarding a very intriguing paper novelty, the hexaflexagon. The hexahexaflexagon automata activity teaching london. Hexahexaflexagon template a3 captain musick air scouts. For other and easier to make versions of the flexagon, try a trihexaflexagon. The triangles on one side are numbered 1, 2 and on the other, 4, 5 and 6. Download free printable blank and decorated hexahexaflexagon template in pdf, word, excel.
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