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Mathematical Lego Sculptures
Daedalus_ writes "Some guy has created mathematical surfaces (mobius strips, klein bottles, etc) out of Legos. He also has some other interesting creations (such as Dilbert figurines and a Hoberman Sphere)."
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3 in a row. whoop de shit. clit sucks.
fuck CLIT
<O
( \
X
8===D
http://smoke.rotten.com/bird
-----Original Message-----
From: gcsb [mailto:gcsbnz@yahoo.com]
Sent: Tuesday, July 02, 2002 4:56 AM
To: bugtraq@securityfocus.com
Subject: XSS in Slashcode
There is a nasty Cross Site Scripting(XSS) vuln in
Slashcode. This was used a day or so go on
slashdot.org and resulted in most of the site being
taken down for an hour or so. The maintainers of
slashcode have patched the problem in CVS but have not
even mentioned it anywhere that I can find. This
leaves all sites using slash vulnerable to this
exploit.
An example exploit (incomplete) is as follows:
I am dissapointed that the slachcode maintainers have
silently fixed this on slashdot.org yet made no
mention of the problem elsewhere so that other sites
can patch themselves. No wonder there are so many
"trolls" on slashdot.org...ah well.
If you run a site using slashcode, get the latest CVS.
That is all. Move along.
One of those snakey thingeys that have all those sections you twist go back into the container?
I could NEVER figure that out.
WWJD? JWRTFA!
Reading between the lines, of course.
I have been pwned because my
Does this mean that the lego representation of a surface integral is not far behind?
"Oh no, 3 horny women and only 2 condoms...Thank god I read slashdot"
Very cool indeed.
:)
However, pleeease, let's help those lego dudes get laid. They seriously need it.
Here's the un-hrefed link.
t m
http://www.lipsons.pwp.blueyonder.co.uk/index.h
I have been pwned because my
Lego toys are for fucking kids, get out and get a life!
There's a bug that will allow anyone to insert malicious javascript into a comment (onMouseOver, etc).
This hasn't been posted to the slashcode mailing list either. Maybe because Jaime is on vacation?!?
An important matter has recently come to my attention. As the slashdot community is obviously best equipped to deal with this manner, I pose to you the following question. We are all aware of the term "cock ranger". Particularly the /. editors, who possess great expertise in that field. However, what are the related terms? Does a cock ranger range cock, or does he/she ranger it? Does he/she perform cock rangery or cock rangering-or maybe even cock ranging? Does one who acts like a cock ranger act cock rangerly, cock rangerous, cock rangerlike, cock rangeroid? What about cock rangerness? I hope that one of you cock rangers out there can answer this important question.
Lego people can walk sideways on buildings?? We must make them our leaders!
This message was brought to you by the death of 30 brain cells.
And I thought I was wasting time karma whoring on Slashdot! ;)
Okay, Dilbert and Mobius Lego structures are geeky cool.
Creating legos out of mathematical surfaces... (Use POVRay to render this :D).
// example of object unions
,
.5
#include "colors.inc"
#include "textures.inc"
#include "metals.inc"
camera {
location
look_at
}
plane { , -1
pigment {
checker color Red, color Blue
}
}
light_source { color White}
#declare lego=union {
box {
}
#declare cyl1=cylinder {
,
}
object { cyl1 }
object { cyl1 translate }
object { cyl1 translate }
object { cyl1 translate }
object { cyl1 translate }
object { cyl1 translate }
texture { Glossy
pigment { Red }
}
}
object { lego }
object { lego
translate
rotate 20*y
}
Originally by USian Pie Widened by pwpbotA long long time ago I can still remember How the trollers used to make me smile And I knew if I had to boast That I could try to get first post And maybe Id be happy for a while But moderators made me shiver With every minus theyd deliver DoS scripts couldnt stop it They scored them all Offtopic I know that its cheap crack they smoke And metamoderations broke At first I thought it was a joke The day that trolltalk died Chorus Bye bye MEEPTy OOG and Grits guy Drove the Cruiser like some loser who starts posts with a sigh Those Steve Woston posts that we all knew were a lie Wonder what became of girls petrified What became of girls petrified Did you write a bunch of Perl And did it make you want to hurl Feces at the Wall Can you believe these lameass polls Do you post big stretchedout assholes Can you make the goatsecx link not show Well I know you think that Siggy sucked Will the real Bruce Perens please stand up The bots dont have a clue Man I dig those trolls from Shoe I was a rabid Free Speech advocate With a Red Hat Tshirt and a Free Beer gut Bought my Sony laptop working Pizza Hut The day that trolltalk died Chorus Its been two years since the IPO And LNUX sinks to alltime lows But thats not how it used to be When Spiral showed how it was done Trolling as Jon Erikson Who worked for NPO Technologies Oh and while they tried to filter posts Somebody rooted Slashdots host Crack Slashdot Thats absurd Better go change your password While JonKatz wrote a Hellmouth book By using posts he simply took And we flamed him till he was cooked The day that trolltalk died And we were singin Chorus 10 grams Inchfan Didnt log out Goddamn The mods will find the sid real soon man You cant hide if you arent AC Your bud George here tried BSD A dead Streetlawyers tips were free And WIPO helped letsriot turn Nazi 70 made his percents up While 80md warned liberals suck The moon does not exist Its just a liberal myth Oh and as Taco tried to take a nap We forced him to invoke bitchslaps Do you recall the flood of crap The day that trolltalk died We started singin Chorus Oh and then we were wearing out All your base And started posting monospace The better for our penis birds So come on be a zealot be a dick You dont think Anne Maries a chick Because lyings all we do about HURD So go and push for BSD And say GPL isnt free Slow down cowboy The limit Is one post every minute Now tell the right wing facist slime Infringing on Your Rights Online That they cant censor all the time The day that trolltalk died Chorus I met a troll they called The Rev And asked him if CD BREAK HEAD He said Thats old Get over it And with all the courage I could muster Imagine what a Beowulf cluster But it wasnt worth the trouble to submit The karma caps are just plain jive And everyones moved to K5 The steelcage has grown rusted And Geekizoid is busted The three sites I dont see for weeks Segfault kernel Compugeek Code is not art This aint Freshmeat The day that trolltalk died Chorus
That is totally amazing. And for what it's worth, I think it's a worthwhile use of his time (not that my opinion on how someone uses their time matters, but whatever). I don't know, to me for some reason non-trivial acts of creation like this seem to touch whatever it is to be human -- our creative endowment is one of our signature traits, I think. What impulse would drive this sort of creative urge, to create beautiful mathematical shapes out of Lego, of all things? Whatever it is, it's mysterious, and it wasn't a waste of time. That figure eight knot is incredible.
Very, very cool.
Now show me a hypercube and I'll be really impressed.
"Moderate drinking can help prevent amputated limbs" -- Abigail Zuger, NYTimes, 12/31/02
leggo my eggo
I love Andrew Lipson's Math site, thought it was on slashdot for a while. If you like to see other such sites check out Eric Harshbarge's Lego page (cool stuff like wedding cakes and skyscrapers), Henry Lim's totally awsome lego sculptures, he's even got Natalie Portman (Not naked, and next to the petrified beethovan). BTW, Eric's got a very interesting page on on San Mononoke (more on those).
I have an account at 50 for a while now.. it took me like 3 months to get there. Lots of reading stories. How come I haven't been able to mod? I am willing!
Much like fish or sheep.
Wait a second, isn't this idea very very close to the Oop! idea in Douglas Coupland's "Microserfs"?
See Subject.
Actually, he mentions building something to amuse his 5 year old son,
so I imagine that he IS married...
He must have a very patient wife : )
Im not here now... Im out KILLING pepperoni
I would be impressed with a Dyson Sphere out of legos. That would be cool.
And you could have a little Scotty Lego charachter next to a crashed shuttle craft on the surface.
Hail Führer.... Führer
I'm not the only person that realizes that a klein bottle can't be made with lego? Or with anything that we know of...
klein bottles can't really be represented in three dimensions...
This is left as an exercise for the reader.
On his other page I particularly liked the machine for switching itself off. Mind you, he'd need to be careful, he might be breaching Microsoft's patent on Windows.
You call me a pedant? I prefer the term "correct"
I can make a near-perfect rectangular parallelepiped out of single Lego brick. Top THAT!
Mirror site up.
www.netmar.com/~will/lego
Disclaimers:
1.) Not my work, I don't claim any of it.
2.) I didn't get the
3.) I know it's not slashdotted yet, just preparing/ karma whoring.
4.) If it does get slashdotted, and everyone starts testing my load balancing, why not sign up for hosting at the same time? We're running a no setup fee promotion at the moment.
~Will
P.S. became friends with the
sig?
I think slashdot has discovered a mozilla bug. ...Or maybe there is a new weapon against the /. effect!
Everytime i click on the "out of legos" link, my
Mozilla(1.0) crashes!
lots of legos
Comment removed based on user account deletion
Looks an awful lot like a 2D projection of a hypercube to me.
Impressed yet?
was made for licking off of my manbewbs.
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Subject:
SEH LOEVS YUO!!!!!
A recent discussion on our Parenting Advice and Support Forum, had this Guide in puzzlement. I had reported years ago that the term 420(pronounced four twenty, not four hundred and twenty), was police code for smoking marijuana in a feature on pager codes that teenagers use to "talk" to each other. I began researching the number again and it seems I was wrong. Read on to learn the myths, the truth about the origin and what this term means for parents.
Known Myths
Police dispatch code for smoking pot is 420.
The number 420 is not police radio code for anything, anywhere. Checks of criminal codes suggest that the origin is neither Californian nor federal. For instance, California Penal Code 420 defines as a misdemeanor the hindrance of use of public lands.
There are approximately 420 active chemicals in marijuana.
Actually, there are approximately 315 active chemicals in marijuana. This number goes up and down depending on which plant is used.
April 20th is National Pot Smokers Day.
Well, it is now; but that wasn't the origin.
April 20th is Hitler's birthday.
Yes, it is his birthday. But, as 420 started out as a time, not a date, his birthday had nothing to do with it.
The date of the Columbine school shootings.
This happened after the term was already in use.
4:20 is tea time for pot-smokers in Holland.
Tea time in Holland is at 5:30 pm, or is it 2:30 pm? Seems no one is quite sure when the wonderful people of Holland drink their tea.
The Origin Revealed
According to Steven Hager, editor of High Times, the term 420 originated at San Rafael High School, in 1971, among a group of about a dozen pot-smoking wiseacres who called themselves the Waldos, who are now pushing 50. The term was shorthand for the time of day the group would meet, at the campus statue of Louis Pasteur, to smoke pot. Intent on developing their own discreet language, they made 420 code for a time to get high, and its use spread among members of an entire generation. While our teens feel that they know something we don't, you can let them in on the fact that it was your generation that came up with the numbers.
A quote from one of the Waldos in the High Times article states, "We did discover we could talk about getting high in front of our parents without them knowing by using the phrase 420." Fortunately, your teenagers will not have that same option.
Whatever!
Simply put, 420 is a symbol of cannabis and its culture. Today, April 20th events are international, and 4:20 pm has become sort of a world wide "burn time". It certainly doesn't matter too much where the term came from because for us parents, it's a flag, a warning sign that our teenagers may be into something that could harm their future. When you see the symbol 420, be aware of what it represents.
Man, one time we were so desperate we put ourselves together a lego bong! More like a pipe, but it was wild man!
(for tobacco use only, of course)
I would like to see this guy get together with the creater of this site:
http://drew.corrupt.net/lp/series2.html
The Kline Bottle would then never be looked at in the same light.
(Warning: not for minors)
Table-ized A.I.
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http://mrl.nyu.edu/~perlin/demox/Hyper.html
Tim
Omnia vestra castrorum habetur nobis.
- Jon Katz
- Trollaxor
- PhysicsGenius
- dipfan
- 56ker
- Cack-cack-cack-cack-cack!
Mark your guesses in the reply. Remember, you are allowed to "write-in" other answers...keep those number twos sharp and...go!Cack-cack-cack-cack-cack!
CACK
Well, I do, you goofy turdburglers!
--
I like to watch.
I wonder if Klein's bottle emerged waterproof. It will be a great vase for flowers if put to stand.
I would like to have one, made of glass. Will look gorgeous, especially if made of colored glass.
This might be a good way to start kids on geometry. Being able to actually build something like a mobius strip makes it much easier to understand it. And to think that the only things I built with legos were space ships.
Don't give me none of this "nature theme" business.
i wish i had that much time, cause if i did, i'd do something worthwhile like cleaning the 328 ramen cups stacked in a sphere out of my room
Righteousness postpones the inevitable
http://burningaureole.caveism.net
This is a test.
Where does this guy get all of these lego blocks? It looks like he has all weird sizes too.
;-)
Maybe he cheats and makes his own lego blocks...
I'm a firm believer in Legos * and am thoroughly convinced that they helped strongly in developing my inquisitive intellect. I still have my Legos from when I was 10.
... well, here's hoping that the world's first Lego Julia or Mandelbrot set will be made within our lifetimes. Lipson's surface models are just beautiful, so just imagine the beauty of a more sophisticated set.
... that's the strength and appeal of Legos. However, I admit that the addition of gears makes the entire matter more challenging, perhaps for the 14+ age group.
Look at 'em: they teach you to design, build, modify, and to have the patience for all of that. Legos are the best thing for the price that I can think of that can spur a young intellect. (Erector Sets were great for that too.) And if you get older and still play with them
BTW, I am down on all this Lego model crap I see in the stores. Give kids a bucket of basic blocks and let them create
* Legos {tm} is the registered trademark of some silly corporation or something like that.
[also misbehaves on Kuro5hin as Peahippo]
hello
You try to make a little joke, but there is always some Poindexter out there who takes you literally and points out your "mistake" in mind-numbing detail...
...doesn't his Klein bottle have multiple surfaces? Damn legos!
proton != antielectron
Comment removed based on user account deletion
Sorry, but technically a klein bottle is a four-dimensional figure (impossible to A) comprehend and B) create). Still looks cool!
Netcraft has now confirmed BSD is dying Yet another crippling bombshell hit the beleaguered BSD community when recently IDC confirmed that BSD accounts for less than a fraction of 1 percent of all servers Coming on the heels of the latest Netcraftsurvey which plainly states that BSD has lost more market share this news serves to reinforce what weve known all along BSD is collapsing in complete disarray as further exemplified by failing dead last samagcom samagcom in the recent Sys Admin comprehensive networking testYou dont need to be a Kreskin amdestcom to predict BSDs future The hand writing is on the wall BSD faces a bleak future In fact there wont be any future at all for BSD because BSD is dying Things are looking very bad for BSD As many of us are already aware BSD continues to lose market share Red ink flows like a river of blood FreeBSD is the most endangered of them all having lost 93 of its core developersLets keep to the facts and look at the numbers OpenBSD leader Theo states that there are 7000 users of OpenBSD How many users of NetBSD are there Lets see The number of OpenBSD versus NetBSD posts on Usenet is roughly in ratio of 5 to 1 Therefore there are about 70005 1400 NetBSD users BSDOS posts on Usenet are about half of the volume of NetBSD posts Therefore there are about 700 users of BSDOS A recent article put FreeBSD at about 80 percent of the BSD market Therefore there are 700014007004 36400 FreeBSD users This is consistent with the number of FreeBSD Usenetposts Due to the troubles of Walnut Creek abysmal sales and so on FreeBSD went out of business and was taken over by BSDI who sell another troubled OS Now BSDI is also deadits corpse turned over to yet another charnel house All major surveys show that BSD has steadily declined in market share BSD is very sick and its long term survival prospects are very dim If BSD is to survive at all it will be among OS hobbyist dabblers BSD continues to decay Nothing short of a miracle could save it atthis point in time For all practical purposes BSD is dead BSD is dying
-pwpbot
Why do people insist on saying Legos? The plural and singular of the word is: LEGO.
;-)
I think it's the "sheeps" syndrome
-psyconaut
Come on now. There is NO Plural of LEGO® there is ONLY ONE LEGO® and that is the 'Group of companies' that makes the bricks.
As for the usual argument as to the correct LEGO® terminology check out what LEGO® has to say about it (about 13 parragraphs down 'Proper Use of the LEGO Trademark')
LEGO® is a trademark of the LEGO Group of companies
Me lost me cookie at the disco.
Oh, I'm sorry. I forgot that this post obeys the laws of thermodynamics!
/^[A-Z0-9._%+-]+@[A-Z0-9.-]+\.[A-Z]{2,4}$/i
But, for those interested, here are some other cool Lego sites:
Stegosaurus
Lego Town
Lego City
Beethoven
Queen Amidala
Audrey Hepburn Wall
Big Clock
Alice in Wonderland
Click here or here.
This isn't WIDE!
I had no computer, not even a graphical calculator, so I had to calculate separately for each dot the distance to the center using and ordinary calculator and the pytogoras formula. The radius was 10 "units". Unfortunately, the unit brick in lego is not a cube. I think to ratio of base to height of these pieces is 5:6. So the sphere now looks more like an ellipsoid. Maybe I should photograph it and put it on the web.
-- 1.e4 c6 2.d4 d5 3.Sc3 de4: 4.Se4: Sd7 5.Sg5 Sgf6 6.Ld3 e6 7.S1f3 h6 8.Se6:
I still have not figured out the correct plural of Elvis and Lexus (the car). Elvi and Lexi?
Table-ized A.I.
Look you lot.
While we are having a discussion in English, the plural of Lego is not Legos
We don't make stuff from Legos
We make stuff from Lego
or We make stuff from Lego bricks
I hope that this will help some of you comments look less ignorant
GrumpyBastard
Wow. Maybe it's the beer I just drank, but this is truly TRULY the coolest thing /. has shown in some time. Okay, maybe it's not strictly _news_, but WOW.
...can he build a lego page counter than can keep up with the hits from /. ? :)
Never, ever lose a file again. Ever.
For inspiration, check http://ben.com/LEGO/ out
I'm sure I'm not the first to say it, but that's what it is.
It always has been, it always will be, you can confirm this on their web site.
It's like Sheep and Sheep - ok, NEVER call them "LEGOS" it grates people (whiners) like myself intensely.
Not interested. Unless the guy can make an image of Natalie Portman buck naked, otherwise... don't bother. Oh and if he can do that, I think that would certainly call for a new /. topic "Naked lego images".
Anybody seen White Stripe's "Fell in Love With a Girl" video? Made entierly out of Lego's, using real Lego set, not CGI, as I thought first.
You can see it here, along with some info of how it was done.
Not interested. Unless the guy can make a sculpture of Natalie Portman buck naked then let me know, otherwise don't bother. Oh, and if he can do that, I think that would deserve a new /. column "Naked Lego Chicks"
Later
Let's use time as our 4th dimension. Imagine a cube that appears and then disappears in an instant. That's a 3D cube. Now stare at a cube for a few seconds.
That's a hypercube.
A 4D being would see the difference instantly. The 3D cube would seem kind of "flat" next to the other one.
Donate background CPU time to fight cancer.
For people new to building and need a resources to buy their goodies, here is a pretty good site. They have just about everything you would need (all different kinds of gears, axles, motor boxes, etc.). Everything you wish the main Lego site sold.
This site has nice rotatable images:
http://mathworld.wolfram.com/topics/MinimalSurface s.html
Nice job indeed!
The machine that turns itself off is so cool!! During math-colleges I was completely facinated by this idea and drew cartoon-like scenario pictures of it again and again, dreaming of building it. it probably appeals only to the more math-minded people.
FLT, not just any theorem.
FLT, not just any theorem.
It is not really Natalie Portman it is Queen Amidala. I feel cheated, Queen Amidal looks more like a bad set of curtains than Natlie Portman.
h tm
On his web page he even titles the sculpture.
Queen Amidala
"My apologies to Ms. Portman"
Now this page is more like it (no lego though)
http://www.natalie-portman.net/pictures.
--
"This isn't a Troll"
Of course a troll would say that
Let me know when he has made a model of Gabriel's Trumpet! Now, that would be something!
-516
I work with this guy, he doesn't actually build the things out of lego's at all, they're just ray-traced :)
-snarkosm
...you'd hate for me to start my comment in the subject line, 'eh?
Imagine a 2 dimensional person seeing a 3 dimensional cube pass through his space. If the flat surface of the 3d cube is parallel with the 2d universe, the 2d person will simply see a square miraculously appear before him, hover for awhile, and then disappear. If the surface of the 3d cube is not completely uniform the 2d person might see the surface of the square "morph" a little. Similarly, if a 4d cube passed through our 3d universe, we would see a cube miraculously appear and then, after a few moments, disappear.
Things become interesting if you pass the corner of the 3d cube through the 2d universe first. The 2d person would see tiny triangle appear before him that grows larger and larger, until you hit the next corners and things become complex, especially if the cube entered at an angle. Eventually you'll get back to a floating triangle that shrinks down to nothingness. Similarly, a 4d cube going through our universe will appear as a 3 sided growing pyramid at first.
Another way to imagine a 4d cube is to think about what its shadow would look like in our universe. The way to do that is to take a 3d cube and project its shadow on a wall. Straight on from the light source it looks like a square. Move it around and see how it morphs. Now image a 4d person was projecting the shadow of a 4d cube onto our universe. Straight on we would have a 3d cube. If he moved the cube around, various corners of the 4th dimension would "morph" out of the flat sides.
When we talk about seeing a hypercube we usually talk about the shadow of a transparent cube, where you just see the connecting lines. This would give you a cube inside of a cube with the corners of the inner cube connected to the corners of the outer cube.
The Moore-Murphy Law: The number of things that will go wrong will double every 2 years.
Have any of you ever been to a Legoland amusement park? All I can say about that is holy cow. I went to the park near Munich and there are some incredible Lego sculptures, like Venice, Frankfurt skyscapers, Berlin, etc... How do they do that?
I figured I'd build the sphere first, and ignite the star inside it.
As it turns out, I could never get the damn fusion reaction going. Stupid Zippo.
The only surefire protection against Microsoft infections is abstinence. - The Onion
Wanna come over to my place and see my 14' lego stegosaurus?
Yeah, there's a reason why my dining table is on the front lawn.
--
E_NOSIG
mmmmm yeah that's what I'm talkin bout.
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To quote Isaac Asimov:
A mathemtician confided,
That the mobius strip is one sided
And you'll get quite a laugh
When you cut it in half
For it stays in one piece when divided
...when I can get a Lego model of a singularity
ID-10-T is a way of life
Actually, according to the fairplay page on the LEGO website, "LEGO" is an adjective, not a noun, so it has no plural.
"Those who would sacrifice essential liberty for temporary safety deserve neither liberty nor safety."
Oddly enough, I wrote a tesseract viewer that uses OpenGL a few years ago. Source is in C++ and GLUT. The program, source and readme file are all on my OpenGL/GLUT demos page. Specific URL:
s s/ index.html
;-)
http://personal.nbnet.nb.ca/daveg/opengl/viewte
Enjoy.
.f00Dave