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Math for fun and glory
Course: Math for fun and glory > Unit 1
Lesson 6: Mobius stripsMobius story: Wind and Mr. Ug
A cautionary tale. Other Mobius videos:Candy Buttons http://www.youtube.com/watch?v=OOLIB3cjFqwMöbius Music Box http://www.youtube.com/watch?v=3iMI_uOM_fYWikipedia links:http://en.wikipedia.org/wiki/M%C3%B6bius_striphttp://en.wikipedia.org/wiki/FlatlandThis is the book you should get if you want to know all things Möbius: http://www.amazon.com/dp/1560259523?tag=vihartcom-20This story was inspired by the novel Flatland: http://www.amazon.com/dp/019953750X?tag=vihartcom-20There's a pretty cool movie version: http://www.amazon.com/dp/1604615370?tag=vihartcom-20Me: http://vihart.com. Created by Vi Hart.
Want to join the conversation?
- Where would wind get her dog when there is no pet store in her world?(19 votes)
- what happend i want to know ! ^,^(0 votes)
- Watch the video closely again. Notice how all things are flipped because it is a mobius strip. Wind is purposely spelt with wonky handwriting so that when flipped it becomes mr.ug. Also notice that all land marks have their names flipped as well as the messages that were left.
To answer your question. The two "halves" of wind's world are actually one long strip. This works on the fact that her world is a mobius strip. So with that knowledge, I would assume that wind and her dog meet up and live happily ever after.(46 votes)
- That was brilliant. Such an entartaining way to show off the properties of mobius loops. Shame about the ending though. Poor Wind, all alone.(4 votes)
- No, she can pass through the linked loops to reach the dog!(1 vote)
- AtVi is hiding the 'n' that Wind wrote when she wrote 'BACK SOON' 3:03(4 votes)
- How did the buildings get there if there was no one else on wind's world?(2 votes)
- They must have fallen off after building the buildings.(4 votes)
- So is a mobius strip is an infinite one sided shape?(3 votes)
- It is sort of like the outside edge of a circle. But the strip has thickness, making it 3D.(1 vote)
- Where did Wind get her dog since there was no pound, and where did she get her food since the stores were always closed, and where did she get her water?(2 votes)
- Wind is a triangle, and triangles don't need food or water to survive. They can survive forever without any of those things. As for the dog, it probably fell from another flatland where dogs exist.(3 votes)
- what does 'nom n' life,nom.' mean?(2 votes)
- I thought it meant something like that you're chewing through life in the sense of being in control of it! You can do things like hop through life or breeze through life; it sounds like that.
Also, apparently some people say they're "nomming through life" if they care a lot about eating tasty foods and do it a lot.(2 votes)
- Where did she get her dog?(2 votes)
- The dog came in just like Wind. Out of nowhere!(3 votes)
- What happens is that after the cutting, Wind sees that the world is still in one piece, and she finds her dog and suddenly a square falls from the sky and the square said his name was Mr.Ug and Wind and her dog play with Mr.Ug for the rest of their lives and lived happly ever after...(3 votes)
- Mr. Ug isn't actually real in the story, wind just thinks he is. Because Wind lives on a Mobius strip, when she goes to 'Mr. Ugs house' she is actually going all the way around the loop back to her own house. But because of the odd configuration of the loop, she flips upside-down, so the Wind sign on here house appears to say Mr. Ug. AtVi shows it, but only for a very brief period of time. 7:02(1 vote)
Video transcript
Once upon a time, there
was a small world. It was a flat world. And it wasn't very wide. In fact, it was so thin
that if you weren't careful, you might fall
right off the edge. In this world was a house. And in this house
lived a triangle. Her name was wind. Wind lived all alone, and
was sometimes sad about that. But she wasn't too
lonely because she had a friend who lived
just one house over. His name was Mr. Ug. Wind often went to visit Mr. Ug. She'd walked past the big rock,
and the pine log, and the Beet Peel store, though she'd
never seen it open, until she got to Mr.
Ug's little yellow house. The problem with Mr. Ug was
that he never seemed to be home. So Wind did what she always
did, and left him a message so that he'd know that
she'd been there. Hi Mr. Ug, she wrote. She hung around a little longer
hoping he might come home soon, but eventually she gave
up and walked back home. Past the Beet Peel store, the
pine log, and the big rock, to her own little house. When she got back, she saw that
someone had left her a message. It said, Hi Wind. Mr. Ug must have
come by to see her while she was out
trying to see him. She kicked herself for waiting
around so long at his house, maybe if she'd
gotten back sooner, she could've caught him
while he was still there. She erased the message and
decided to go back to his place since he was obviously
heading back there as well. Their timing always
seemed to be wrong. Whenever she went to see him, he
seemed to be out visiting her. In fact, she never
actually met Mr. Ug, but she felt like she
knew him very well, because of the messages they
were always leaving each other. When she got to
his place, she saw that he had already
read her message, erased it, and left again. But Wind was used to
this kind of coincidence, so she simply continued
their conversation by leaving another message. How are you right now, she
asked, and turned around to go home. Her grammar and spelling
weren't so good, because, after all, there was
no school in her little world. Mr. Ug didn't always have
perfect spelling either, but Wind thought that he
had a lovely way with words. For example, when
she got home, she found that Mr. Ug had already
written a reply to her how are you. He said, Nomin' life, nom. She thought this was
a beautiful metaphor, and felt lucky to have a
neighbor who never answered how are you, with something
boring like, fine thank you. But what she really
wanted, more than anything, was to actually meet him. See his face for the first time. She decided to try
another tactic. She erased his note and
left one saying, back soon. This way, if Mr. Ug came
to visit while she was out, he'd know to stay around for
a while until she got back. The prospect of
finally meeting him made Wind feel nervous and
self conscious about how boring her messages always
were compared to his. So she decided to get
artistic and illustrated it by drawing a foot with
wings on the hill. She then rushed back
to Mr. Ug's house with all the
swiftness of Hermes, to find that, indeed, he
was, once again, not there. Though it seemed he had taken
up a new project as there was a sign up for a
Buck Zoo, complete with a picture of a
fully antlered buck. Maybe he was out collecting
deer for his zoo, but maybe, just maybe,
he had gone to visit her and saw her sign, and decided
to wait until she got back. So she dashed out a
quick, hello, leaving. And then rushed
back to her house with all the
swiftness of Mercury. She approached her house,
anticipating finally saying hello to Mr. Ug in
real life, for the first time. But found only a message
that said, revalue hello. It was an interesting message,
and gave her something to ponder. Maybe she was spending too much
time trying to greet and talk to Mr. Ug, and not enough
time on her own projects. She thought about how often
they seem to cross paths, and yet, she'd never
actually passed him on the path between
their houses. Maybe there was
another path he used. Wind had never explored the
world to the left of her house, but maybe it was about time she
stopped obsessing over Mr. Ug and went on an adventure. Maybe, while Mr. Ug
worked on his Buck Zoo, she could have a
project of her own and work on exploring the world. So she went left, and
discovered a few new places. There was a store which
sold beef and beer, though unfortunately it seemed
to have closed long ago. And a blue rod, and a lock
pie, which didn't sound too appetizing to her. Before long, however, she found
herself somewhere familiar. She was back at Mr. Ug's house,
and as usual, he was not home. But now she knew why they
kept missing each other. Their little world
was a loop, and they were taking different paths
from one side to the other. Wind was very excited
by this discovery because now she understood
her world a little better. Best of all, in such a
small world, her and Mr. Ug were bound to meet eventually. So she went home and decided
to start another project. Sometimes she worried
that one of them would accidentally fall
off the edge of the world, and she would never
get to meet Mr. Ug. After all, she
herself had fallen off the flat land where
she grew up, which was how she'd gotten here. She'd thought about building
a fence along the edge, but it had always seemed
like too big a project. Now that she knew that
her world was a loop, she realized she could
actually finish this project and build a fence
around the entire world. She started with the
side below her house, and started around
towards Mr. Ug's. She passed the big
rock, and the pine log, and the beet peel
store, until she got to Mr. Ug's little yellow
house, her heart fluttering at the hope that he
might be home this time. But she saw to her
surprise that Mr. Ug was building a fence of his own
on the other edge of the world. Maybe he had gone to visit
her, and saw the beginnings of her fence, and
decided to help out. Wind continued
building her fence, thinking how sweet it
was that Mr. Ug was helping with her project. She passed the lock
pie, and the blue rod, and the beef and beer store. And when she got
back to her home, she was pleased to see that
her entire world was safe and she only had to build a
fence along one edge of it. Secure in the knowledge that
Mr. Ug wasn't going anywhere, Wind started pursuing other
projects in the following days. For example, she
got a pet dog which helped her feel a
bit less lonely, and built it a dog house. She still wandered
over to Mr. Ug's place on occasion, just to
see how he was doing. It seemed that recently
he'd gotten religious, because he built what
appeared to be a small church. One day, Wind was
out walking her dog when the ground
started to shake. Suddenly, the ground
began to split. It was an earthquake
so powerful that it was ripping her world apart. Wind quickly got away from
the dangerous new edge that was being torn
through her world, but her dog was still
on the other side. She ran trying to
get past the crack, but the world was splitting
right down the center, all the way around. She could still hear
her dog barking, but the sound faded as the two
sides of her worlds separated and drifted apart. Would she ever
see her dog again? And what about Mr. Ug? I hate to end on a cliffhanger,
but luckily for you, you can figure out the ending
to this story yourself. Wind lives on not just any
loop, but a Mobius strip, which you can make
easily out of paper. Just cut out a strip,
and instead of taping it into a normal loop, give
it a half twist first. If you use a marker that
bleeds through the paper, you can draw Wind's house and
see it from the other side. But all that's essential here is
that you draw wind and her dog. Cut a line down the center of
the paper, all the way around, and you tell me how it ends.