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Math for fun and glory
Course: Math for fun and glory > Unit 1
Lesson 3: HexaflexagonsHexaflexagon safety guide
Don't let a flexigatastrophe happen to you! Happy Hexaflexagon Month, in honor of Martin Gardner. Yes, we've been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on Oct. 21, but be sure to flex responsibly.This is my third hexaflexagon video this month. The first two are also awesome.Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagonI stole the "hexaflexadyslexia" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408I'm @vihartvihart. Happy Flexing! Created by Vi Hart.
Want to join the conversation?
- How do you make the hexaflexagon at? She does it so fast. 2:42(17 votes)
- well acutally, fromto maybe 2:40, she was at normal speed, shes just really good, you can see by the caption that says 1x speed. Most of the times she speeds it up, and in videos such as Dialogue for 2, she uses stop motion(: 2:50(6 votes)
- how do you make a hexaflexagon?(5 votes)
- Vi, I love the safety guide, but the danger of Hexaflexagons are inevitable. Squares and rectangles have always been and always will be, fourth dimensional time machines. Hexaflexagons are made from rectangular strips of paper, so I estimate using the same Haexaflexagon for a year will land you in the fifth dimension, in some unknown time period.(5 votes)
- Apart from making you confused, how can a hexaflexagon hurt you? Is this video meant to be a joke?(2 votes)
- Yes, it is meant to be satirical, which means sarcastic. In other words, yes, it is meant to be a joke.(3 votes)
- I can never figure out how you fold the Hexaflexagon, I've tried to make one with the insructions actually on the paper, but it never works out. Can somebody tell me how? Be specific, please, thanks :-](3 votes)
- If you're having trouble, you may not be folding it correctly. I had that problem a couple times. It will be easiest to use someone else's instructions, just remember that you might not be folding it in the right spot or in the right direction.
Hope this helps.(2 votes)
- What does "chirality" mean at? 2:00(3 votes)
- In chemistry, chirality usually refers to molecules. Two mirror images of a chiral molecule are called enantiomers or optical isomers.
Source: https://en.wikipedia.org/wiki/Chirality_(chemistry)(1 vote)
- is this even a real warning cause all of this deems fake(3 votes)
- i tried making a trihexaflexagon and accidentally ended up with a mobius strip(3 votes)
- What if a small child gets a hold of my hexaflexagon and messes it up so that instead of side 1, 1, 1, 1, 1, 1, now I have side 1, 1, 1, 1, 3, 3. And I can't get to side 5 anymore?(2 votes)
- The best thing to do would be to untape it and reorient it correctly. Otherwise, you can flex it halfway, and then move the piece with the 3,3 through the flexagon until you find the missing 1,1.(3 votes)
- how do you make a hex-a-flex-a-gon?(2 votes)
Video transcript
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.