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#1 2012-10-10 23:25:00

kayybee
Scratcher
Registered: 2009-12-07
Posts: 1000+

Hexaflexagons

Has anyone made one before?
They're hexagons that turn inside out and stuff.

Vi Hart has a video (or two) on them (currently) so if you don't know what they are you should watch the videos. Along with every other ones of her videos.

Discuss hexaflexagons, Arthur Stone (right?), Martin Gardner, and Vi Hart.

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#2 2012-10-10 23:38:35

zubblewu
Scratcher
Registered: 2011-02-17
Posts: 1000+

Re: Hexaflexagons

I love them!  big_smile . I just made another a few days ago (just a trihexaflexagon)


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#3 2012-10-10 23:54:17

thebriculator
Scratcher
Registered: 2011-07-11
Posts: 500+

Re: Hexaflexagons

I love those!

I've made some from a template before, and some from origami.

btw, I like ViHart's videos as well!


.     http://tiny.cc/2cwgpw    http://tiny.cc/viwgpw    http://tiny.cc/iwwgpw

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#4 2012-10-10 23:59:25

zubblewu
Scratcher
Registered: 2011-02-17
Posts: 1000+

Re: Hexaflexagons

You should change the topic name to flexagons, not hexaflexagons  wink


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#5 2012-10-11 00:10:24

Laternenpfahl
Scratcher
Registered: 2011-06-24
Posts: 1000+

Re: Hexaflexagons

yay vihart
also im not that good at them


http://i46.tinypic.com/6yd4c0.png

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#6 2012-10-11 01:44:29

kayybee
Scratcher
Registered: 2009-12-07
Posts: 1000+

Re: Hexaflexagons

zubblewu wrote:

You should change the topic name to flexagons, not hexaflexagons  wink

I was originally going to call it like national mathematics month for martin gardener or something like that but then i'm not quite creating the month, and the whole month is just about hexaflexagons....... so.

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#7 2012-10-11 01:45:55

zubblewu
Scratcher
Registered: 2011-02-17
Posts: 1000+

Re: Hexaflexagons

kayybee wrote:

zubblewu wrote:

You should change the topic name to flexagons, not hexaflexagons  wink

I was originally going to call it like national mathematics month for martin gardener or something like that but then i'm not quite creating the month, and the whole month is just about hexaflexagons....... so.

Hmmmmmm. In that case yeah... But flexagons are more general and much more inclusive, so I though that. Oh well, it doesn't really matter  tongue


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#8 2012-10-11 08:12:24

Mokat
Scratcher
Registered: 2011-12-08
Posts: 1000+

Re: Hexaflexagons

ViHart's videos are cool  smile
We watched a couple of the pi ones for math class.


http://www.eggcave.com/egg/977371.pnghttp://www.eggcave.com/egg/977376.pnghttp://www.eggcave.com/egg/1005291.pnghttp://www.eggcave.com/egg/996745.png

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#9 2012-10-11 08:31:48

mythbusteranimator
Scratcher
Registered: 2012-02-28
Posts: 1000+

Re: Hexaflexagons

Sounds interesting!


http://www.foxtrot.com/comics/2012-04-01-fdb37077.gif
clicky

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#10 2012-10-11 09:02:04

Hardmath123
Scratcher
Registered: 2010-02-19
Posts: 1000+

Re: Hexaflexagons

Are these the same as kaliedocycles?


Hardmaths-MacBook-Pro:~ Hardmath$ sudo make $(whoami) a sandwich

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#11 2012-10-11 17:33:37

transparent
Scratcher
Registered: 2011-04-19
Posts: 1000+

Re: Hexaflexagons

Perhaps...sounds interesting, though. :3


yes, yes i do.

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#12 2012-10-11 17:34:20

777w
Scratcher
Registered: 2009-02-10
Posts: 1000+

Re: Hexaflexagons

my brother saw a video on those and wont stop talking about them :B

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#13 2012-10-11 17:38:28

banana500
Scratcher
Registered: 2009-09-06
Posts: 1000+

Re: Hexaflexagons

Aww yeah, I love Vi Hart!  big_smile


http://i.imgur.com/jrCyB2r.gif
'Cause I'm NUMBER ONE.

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#14 2012-10-11 17:38:40

Molybdenum
Scratcher
Registered: 2012-06-17
Posts: 1000+

Re: Hexaflexagons

These are very fun. I've made quite a few, and even convinced my teacher to use them in class  tongue


"The Enrichment Center is required to remind you that you will be baked, and then there will be cake."
(|Balls and Platforms: Stay on!|) (|NaOS-H: An operating system... Or is it?|)

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#15 2012-10-11 17:39:00

transparent
Scratcher
Registered: 2011-04-19
Posts: 1000+

Re: Hexaflexagons

I just looked them up and man that's awesome.


yes, yes i do.

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#16 2012-10-11 17:59:11

kayybee
Scratcher
Registered: 2009-12-07
Posts: 1000+

Re: Hexaflexagons

transparent wrote:

I just looked them up and man that's awesome.

So are the rest of vi's videos.

Quick, someone prove .999...=1!
Just one to let others post some too though  smile
Great reason: because I said so.

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#17 2012-10-11 20:36:51

Hardmath123
Scratcher
Registered: 2010-02-19
Posts: 1000+

Re: Hexaflexagons

0.99... * 10 = 9.99... = 9+0.99...
Let 0.99... be x:
10x = 9+x
9x = 9
x = 1
0.99... = 1
QED


Hardmaths-MacBook-Pro:~ Hardmath$ sudo make $(whoami) a sandwich

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#18 2012-10-11 21:10:05

soupoftomato
Scratcher
Registered: 2009-07-18
Posts: 1000+

Re: Hexaflexagons

Hardmath123 wrote:

0.99... * 10 = 9.99... = 9+0.99...
Let 0.99... be x:
10x = 9+x
9x = 9
x = 1
0.99... = 1
QED

I was just going to say
the fraction of a repeated decimal is the number over how many 9s you need.
so .99 . . .
is 99/99 and 99/99 is one.


I'm glad to think that the community will always be kind and helpful, the language will always be a fun and easy way to be introduced into programming, the motto will always be: Imagine, Program, Share - Nomolos

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#19 2012-10-11 22:22:58

kayybee
Scratcher
Registered: 2009-12-07
Posts: 1000+

Re: Hexaflexagons

Between any two different real numbers there is at least one more between them.
1,2: 1.5, 1.4, etc.
1,1.1: 1.05, 1.04, etc.

Now find a number greater than .99.. and less than one.
Just add a five to the end and you get halfway. 0.99...5?
Wait but the five doesn't exist because you'll never get there cause its behind an infine number of 9s. So it's still .99... There's no number between them, which must mean they are the same number.

There are several more. Like the 1/3 proof.

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#20 2012-10-12 09:19:23

transparent
Scratcher
Registered: 2011-04-19
Posts: 1000+

Re: Hexaflexagons

I want to learn how to do this. :3


yes, yes i do.

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#21 2012-10-12 09:25:52

mythbusteranimator
Scratcher
Registered: 2012-02-28
Posts: 1000+

Re: Hexaflexagons

soupoftomato wrote:

Hardmath123 wrote:

0.99... * 10 = 9.99... = 9+0.99...
Let 0.99... be x:
10x = 9+x
9x = 9
x = 1
0.99... = 1
QED

I was just going to say
the fraction of a repeated decimal is the number over how many 9s you need.
so .99 . . .
is 99/99 and 99/99 is one.

1/3 = 0.33333333......
1/3 * 3 = 0.99....... AND 1

1/9 = 0.111....
1/9 * 9 = 0.999999.... AND 1


http://www.foxtrot.com/comics/2012-04-01-fdb37077.gif
clicky

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#22 2012-10-16 22:42:43

kayybee
Scratcher
Registered: 2009-12-07
Posts: 1000+

Re: Hexaflexagons

transparent wrote:

I want to learn how to do this. :3

They're actually really fun but I always get it stuck in some 3D figure and have trouble getting it back  tongue

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#23 2012-10-16 23:52:50

thebriculator
Scratcher
Registered: 2011-07-11
Posts: 500+

Re: Hexaflexagons

"stuck" in 3D?

you mean it can be 2D at some point?

I think I'm using different flexagons than you.

could you give me a link?


.     http://tiny.cc/2cwgpw    http://tiny.cc/viwgpw    http://tiny.cc/iwwgpw

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#24 2012-10-16 23:55:02

zubblewu
Scratcher
Registered: 2011-02-17
Posts: 1000+

Re: Hexaflexagons

They're always 3-D anyways  tongue . And if you have a 2 dimensional object that is whole in the third dimension... (quantum and theoretical physics  big_smile )


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#25 2012-10-17 01:27:43

kayybee
Scratcher
Registered: 2009-12-07
Posts: 1000+

Re: Hexaflexagons

thebriculator wrote:

"stuck" in 3D?

you mean it can be 2D at some point?

I think I'm using different flexagons than you.

could you give me a link?

Yes, hexaflexagons are normally 2D figures. I'd post a link, but I'm on my iPod right now... I can do it tomorrow or you can search vi hart on YouTube and watch her hexaflexagons videos.

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