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  • Hexaflexagons-- they're cool, hip, and hexa-fun

  • to play with, right?

  • Wrong.

  • Hexaflexagons are not toys.

  • With the increasing number of hexaflexagons finding their way

  • into homes and schools, it's important to be aware

  • of proper flexagation regulations

  • when engaging in flexagon construction and use.

  • Taking proper precautions can help avoid a flexa-catastrophe.

  • Do not wear loose clothing when engaging in flexagation.

  • If you have long hair, tie it back,

  • so it doesn't get caught in a flexagation device.

  • Ties are also a common source of incidents.

  • Stay alert.

  • Never flexagate while under the influence.

  • When using a hexaflexagon, sudden unexpected sides

  • may appear, and drugs like alcohol can slow reaction time.

  • If you aren't sure what kind of flexagon you're dealing with,

  • it's safer to temporarily disable the flexagon.

  • Flexagons can be disarmed by using scissors

  • to cut them apart.

  • You can cut across the original seam

  • where the paper strip was taped together,

  • which may appear on the edge or through the face

  • of the flexagon.

  • In an emergency, however, flexagons

  • can be cut apart right through a triangle, or on three edges

  • if you want to retain symmetry, or into nine separate triangles

  • if you really want to be safe.

  • You can even cut them in half down the length of the paper

  • strip like this, into two separate--

  • Once you cut your flexagon apart,

  • you can figure out what kind it is.

  • If it has nine triangles, that's 18 triangle sides.

  • So at six triangles per hexagon side,

  • that's three sides of trihexaflexagon.

  • Note that some flexagons might be

  • made from a double strip of triangles that have been folded

  • in half, so that marker doesn't bleed through.

  • Don't let yourself be fooled by the extra triangles.

  • Avoid danger during hexaflexagon construction.

  • If you're not working from a printed pattern,

  • you might start your flexagon by picking a point

  • on the edge of a strip of paper, folding that 180 degree

  • angle into thirds to create 360 degree angles,

  • and then using the equilateral triangle that results

  • as a guide to fold the rest of the strip of paper,

  • zigzagging back and forth.

  • Without proper attention and focus,

  • this could easily lead to becoming unreasonably amused

  • with the springy spring of happy triangles that results.

  • Always keep your hexaflexagon in good working order.

  • Pre-creasing all the triangles both ways

  • before configuring them into hexaflexagonal formation

  • will help your flexagon operate properly and avoid accidents.

  • Keep a close watch on the chirality of your hexaflexagon.

  • That is, whether it is right or left handed.

  • Notice how in this hexaflexagon, water flows

  • clockwise down under the flaps, even

  • if you flip it over or flex it.

  • Well, in this hexaflexagon, it flows counter-clockwise.

  • They're mirror images.

  • The chirality is decided when you fold and tape

  • your triangles into a twisty loop, and once taped,

  • it is impossible to change from one

  • to the other without cutting it apart,

  • at least in three-dimensional euclidean space.

  • A change in chirality could be a sign

  • that your flexagon has been flipped

  • through four-dimensional space and is possibly a highly

  • dangerous multi-dimensional portal.

  • With experience, a hexaflexagon master

  • can construct a hexaflexagon in mere seconds.

  • Some forgo tape and scissors entirely

  • by folding a double strip that's too long

  • and tucking the extra in.

  • This is an advanced technique that should not

  • be attempted without prior training.

  • Beware topological changes.

  • This family seems safe from this philosoraptor,

  • because they live on separate planets

  • with a cold, empty vacuum of space between them.

  • But after a single flex, the unfortunate victims

  • are now doomed, protected only by the inconsequential barrier

  • of their domicile.

  • Your stars might explode, your frowns may become smiles,

  • your most pointy of triangles might

  • become the roundest of circles.

  • Perfectly healthy snakes may turn into snake loops,

  • or worse, become decapitated.

  • Either state is fatal for the snake,

  • as having no head can lead to starvation.

  • This can be avoided by simply marking where connections will

  • be across neighboring triangles first.

  • Afterwards, the lines can be filled in however you like.

  • Be aware that with the trihexaflexagon,

  • there are two variations to each face.

  • So you can simply draw one side where triangles connect,

  • and flip and draw the other.

  • But in the hexa-hexaflexagon, the main three

  • faces each appear four different ways.

  • If you use hexaflexagons, keep an eye

  • out for signs of dependency.

  • Overuse can lead to addiction and possibly an overdose.

  • Some users of hexaflexagons report confusion,

  • mind-blown syndrome, hexaflexaperplexia,

  • hexaflexadyslexia, hexaflexaperfectionism,

  • and hexaflexa-Mexican-food-cravings.

  • If you find yourself experiencing

  • any of these symptoms, stop flexagon use immediately,

  • and see the head of your math department.

  • With proper precautions, flexagating

  • can be a great part of your life.

  • Follow these simple safety guidelines,

  • and you should be ready for a fun and safe hexaflexagon

  • experience.

Hexaflexagons-- they're cool, hip, and hexa-fun

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ヘキサフレクサゴン安全ガイド (Hexaflexagon Safety Guide)

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    林宜悉 に公開 2021 年 01 月 14 日
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