...a torus and which is the remaining "handle", allows the intersecting bar to be viewed as intersecting different or both holes at any time. This double-holed torus never really needed to be transformed for the holes to be intersected differently, but transformations can exemplify one reference, even though all are valid at the same time.
HOWEVER, the main problem here is that everybody is looking at the double-holed torus as one object, when really, it is just 2 objects (tori) intersecting each other. however, spaces can't be jointly occupied so an observer has to select which torus gets to be whole and which is sheared to look like a C.This allows the C to openly slide along the main torus, exposing that it creates truly 3 holes (since a torus can be "split" its almost like have 3 C's). Switching references of which C's make..
I don't get the fuss. There is no strange topological property here. You just have to remember, that math, and geometry in particular, tell us that objects can self-intersect without creating singularities. With this in mind, it already tells us some weird things can happen.
I don't understand what is supposed to be so fascinating about this. The clay was just molded around the bar, was it not? Pretty sorry for a "magic trick".
@DanielDownNdirty or, hows about me, you, and your buds have a big gay orgy. That would be fun! we could cum in each other's mouths, fuck our brains out, swap blow jobs, and just have an over all good time. Heh? Heh?
to ur username, if u could divide by zero then every value (lets call it x) would be equal to its double or half: x = 2x or x = x/2 (i can proof this, im not making baseless claims)
I'm a chemical engineer and just looked up topology. It's a pretty cool concept and probably plays no small part in advanced spatial problem solving, I just don't see the point of something like this overall though. Too practical for this pure mumbo jumbo >.>
Assume its genus 2 at Euclidean. Yes you are right, the loop dosent break but the bar still passing thro one loop with the altas deformed geometrically~^~^~
It is easier to see the idea, mark circles of the toruses and do ur deformation again to see whether any circle breaks, if no( ur case ), see it is true that the bar has just pass thro one loop^_^
As a math major this does not make sense to me....can you cut out that form on a piece of paper and do it? Or does it only work because it is clay? I feel like you are changing your original holes with the clay in order to do this. If you could please do this with a piece of paper it would really help me understand better.
@Islanders1932 paper is flat, nonelastic, etc. Many reasons this would not work. i don't understand how you are a math major... then again i guess you will just teach kids how to do long division so don't worry about it.
IF you are interested, look up eversion of a Sphere. should explain better than anyone can in comments.
@jjsantos81 lol, noup! you are wrong a torus of two holes is homeomorphic to three "lines" intersecting just in the beggining and in the end, suppose they have an order clockwise (lets say line 1, line 2 and line 3) they can exchange order even by means of an odd permutation (that is what happend here) by menas of a simple transformation
@DavidSpieluhr But this doesn't prove that a figure with 2 holes is homotopic to a figure with 1... what are you talking about? It's pretty easy to disprove, in fact, if you want something really elementary you can just triangulate them and find their Euler characteristics.
Great vid man ... I was trying to visualize this while reading a book and I was having a hard time. This saved the day!! 5 stars - keep up the good work.
I don't know but I think he did a stopmotion? dont get me wrong but I still can't believe my eye's & YES I DO BELIVE in MAGIC!! heck I went 2 Las Vegas 2 see Lance Burton he's a magician to. Ithink that was cool 2!!!! =D
I don't think it is magic or trickery. Please read the post below, I'm pretty sure it works fine. The hole with no stick just gets molded around - the stick never really goes through it.
Mold the blue thing to the shape of a donut keeping the hole without the stick but making it small - like a donut with a wormhole. Take that little hole and stretch it around the stick until it is about to hit itself - like an exagerated smile. There's a little isthsmus left between the sides of the smile. Bend the clay a little around that isthsmus and you've got a stick through 2 holes. Right? No trick and no 3rd hole? This is the first time I've used the word "isthsmus".
it starts off with 2 holes in the dough. He then moves one hole to the center, now if you look at all sides for a brief moment you will clearly see three holes. Life is easy when you can count to three. Yes it is a cool trick, but in the first form there where 2 holes and in the last one he basically turned the whole thing spherical. Imagine putting a ball in the middle....How many ways could that ball escape? Go to the 25sec mark and you will see that it is three. YAY FOR BRAIN POWER........
A ghost moving the clay! aaaaaaaaaaaaaaaaaaa
5up3rp3rs0n 6 days ago
...a torus and which is the remaining "handle", allows the intersecting bar to be viewed as intersecting different or both holes at any time. This double-holed torus never really needed to be transformed for the holes to be intersected differently, but transformations can exemplify one reference, even though all are valid at the same time.
musicmuscle123 2 weeks ago
HOWEVER, the main problem here is that everybody is looking at the double-holed torus as one object, when really, it is just 2 objects (tori) intersecting each other. however, spaces can't be jointly occupied so an observer has to select which torus gets to be whole and which is sheared to look like a C.This allows the C to openly slide along the main torus, exposing that it creates truly 3 holes (since a torus can be "split" its almost like have 3 C's). Switching references of which C's make..
musicmuscle123 2 weeks ago
I don't get the fuss. There is no strange topological property here. You just have to remember, that math, and geometry in particular, tell us that objects can self-intersect without creating singularities. With this in mind, it already tells us some weird things can happen.
musicmuscle123 2 weeks ago
stop motion ;p
the3Dandres 3 weeks ago
this is fucking stupid. of course you can do that with a figure 8 made of CLAY that you CLEARLY MOLDED AROUND THE POLE hahahaha
BigWeebz 4 weeks ago
I don't understand what is supposed to be so fascinating about this. The clay was just molded around the bar, was it not? Pretty sorry for a "magic trick".
jrhinson 1 month ago
@jrhinson If you understood the topology behind it, it's actually fascinating.
MyOverflow 1 month ago
wow... you dident open it behind the stick... no no... not at all... fake stop motion lolol
WoopWoopDk 1 month ago
i thought it would be more hardcore because of the video title
rroms 1 month ago
@rroms i get it
planetmeagher 1 month ago
This isn't a magic trick.. It's called molding the clay...
RawrberryPoptartz 1 month ago
What is this wizardry?
TheEskimoDance 2 months ago
again in the weird part of youtube
Elocho17 2 months ago
"Through one hole or two?"
Thats what she said...
AudioJustG 2 months ago 4
@AudioJustG Your mother didn't give me that limitation last night!
MarshalltheArtist 1 month ago
Clay... How stupid do you think we are? Of course a stop motion video of clay can bend the laws of physics. [It's Claymation]
ProducerSkeleton 2 months ago
its bend
firebeast1025 2 months ago
bullshit, easy to do when you use clay, try it with something where the loops can't be changed
TrollingYourButt 2 months ago
nice :D
HowOriginal03 2 months ago
thats wat she said
Spartacusi23 2 months ago
haha cool
nikkil001 2 months ago
Comment removed
winhugs 2 months ago
The double torus has a 3-fold symmetry realizable in 3D Euclidean space.
winhugs 2 months ago
Heresy
Regginyaga 2 months ago
i gonna try that on my girlfriend
Sonny0612 3 months ago 19
*cough* playdoh *cough*
RawrrItsFaith 3 months ago
This has been flagged as spam show
No, actually, i do not want to see it again. If i did i would have replayed the video.
ReptarLongboards 3 months ago
this looks like it was done with play doh
oddnamera 3 months ago
@oddnamera it is,or else u cant remake the spheres to do that......
ExquisiteCombos 3 months ago
You broke the loop, sorry.
divdawgd 3 months ago
he moves one hole and sticks it in the middle
sleepdrinkandkill 3 months ago
Sorry, you broke your own prerequisites.
Guitarledgend0123 4 months ago
EASY!!!
lely2cool 4 months ago
you broke the loop once you changed the molecular structure. once again, egghead scientists stupified by the obvious.
Musashi242 4 months ago
@Musashi242 this has nothing to do with molecular structures.... its a topological abstraction, there are no molecules this is just a demonstration
jobriq5 3 months ago
If I wanted to see it again, I'd just click the time bar.
TinyMike111 5 months ago 2
your mom has 3 holes and me and my buds will happily fill them all trollololol
DanielDownNdirty 5 months ago
@DanielDownNdirty or, hows about me, you, and your buds have a big gay orgy. That would be fun! we could cum in each other's mouths, fuck our brains out, swap blow jobs, and just have an over all good time. Heh? Heh?
PoliMeim 4 months ago
@PoliMeim ill bring the poppers
DanielDownNdirty 4 months ago
@DanielDownNdirty !!!! :D
PoliMeim 4 months ago
@DanielDownNdirty XD
fatalus553 4 months ago
@PoliMeim XD
fatalus553 4 months ago
@PoliMeim XD
fatalus553 4 months ago
to ur username, if u could divide by zero then every value (lets call it x) would be equal to its double or half: x = 2x or x = x/2 (i can proof this, im not making baseless claims)
koerund 5 months ago
wait, how much is the clay in ur country?
noeltrixie 5 months ago
Of course... Damn you Topology!!
epsdelta 5 months ago
one cock 2 pussi
6eggc 5 months ago
shopped imo
DWarrior666 5 months ago
very clever
amerikanits 5 months ago
FAKE
jesuslevrai 6 months ago
@jesuslevrai Nah.
Psp4804 6 months ago
@jesuslevrai No, very real, I can do this after watching the video in its entirety. And she/he never broke the loop.
HappyIsFleeting 5 months ago
@jesuslevrai are you kidding me? Simply out of your lack of understanding you claim it fake?
bleak95 5 months ago
@jesuslevrai you trolls are getting on my nerves
numberonedbzfan27 5 months ago
44 People couldn't say "Topological" then tried to figure this out and FFFFUUU'd
Chimb111222 6 months ago
het is gewon klei
THeBodhi1000 6 months ago
Comment removed
tua25544 7 months ago
Not Impressed...
gonzal05 8 months ago
I know you´re not cheating, but it kind of looks like it at 0:24.
Kabitu1 8 months ago
mit knete ist das auch ganz einfach :)
Mjheiko 8 months ago
that's what she said. well, i tricked her and went through the three holes anyway.
chadmuks 8 months ago 3
that's what she said
Dragonicafan 8 months ago
THAT IS STUPID !!
ArtemDubas 8 months ago
through your hole LOL i didn mean this :)
minitos1 9 months ago
good tune, crystal method i believe
ricktbdgc 9 months ago
I'm a chemical engineer and just looked up topology. It's a pretty cool concept and probably plays no small part in advanced spatial problem solving, I just don't see the point of something like this overall though. Too practical for this pure mumbo jumbo >.>
deciett 9 months ago
This has been flagged as spam show
Assume its genus 2 at Euclidean. Yes you are right, the loop dosent break but the bar still passing thro one loop with the altas deformed geometrically~^~^~
It is easier to see the idea, mark circles of the toruses and do ur deformation again to see whether any circle breaks, if no( ur case ), see it is true that the bar has just pass thro one loop^_^
ihmc3jn09hk 10 months ago
Comment removed
ihmc3jn09hk 10 months ago
Comment removed
ihmc3jn09hk 10 months ago
Love that, that is really good and benefits entirely from being demonstrated with a tactile and easily reproducible medium.
Kurzula5150 1 year ago
As a math major this does not make sense to me....can you cut out that form on a piece of paper and do it? Or does it only work because it is clay? I feel like you are changing your original holes with the clay in order to do this. If you could please do this with a piece of paper it would really help me understand better.
Islanders1932 1 year ago
@Islanders1932 The only condition was that the loop is not broken, no other condition was stated.
zer0dahero 1 year ago
@Islanders1932 paper is flat, nonelastic, etc. Many reasons this would not work. i don't understand how you are a math major... then again i guess you will just teach kids how to do long division so don't worry about it.
IF you are interested, look up eversion of a Sphere. should explain better than anyone can in comments.
ICantStopYourMemory 1 year ago 3
@Islanders1932 As a fellow math major, I highly recommend that you take a topology class.
daofeishi 9 months ago
Topology is awesome.
FenBolds 1 year ago 3
clay was my first thought
ZeroSubscribe 1 year ago 2
quite fantastic! Difficult to understand but I thin i got it... or not?!
wolke14 1 year ago
brainfuck
euklid216 1 year ago
the two holes are homoerotic
nuladee 1 year ago
topology is the study of the earths layout above sea level. how is this topology?
NarutxSasu 1 year ago
@NarutxSasu
Topology is also a branch of mathematics. Look it up on wiki!
UzumakiAang 1 year ago
@NarutxSasu You are thinking of Topography :)
Crayzerkade 1 year ago
clay!!!!!!!!!!!!!!!!!!!!!11111
Pinmanqaz213 1 year ago
my head nearly sploded.after seeing that witch craft shit
imilkdude 1 year ago 21
clever!
waltdisney35 1 year ago
Still through one loop Haha, you look through 2 but in the back its only one loop which the stick/bar goes throgh
MultiMusicMind 1 year ago
my head asplode.
NutsandGuts 1 year ago
i dont know what the author wants to prove, but a topological space with two holes is not homotopical equivalent to a space with only one hole...
jjsantos81 1 year ago
Comment removed
AstrumPreliator 1 year ago
Comment removed
DavidSpieluhr 1 year ago
@DavidSpieluhr u are wrong. a figure with two holes and a figure with only one hole are not homemorphic,.
jjsantos81 1 year ago
@jjsantos81 lol, noup! you are wrong a torus of two holes is homeomorphic to three "lines" intersecting just in the beggining and in the end, suppose they have an order clockwise (lets say line 1, line 2 and line 3) they can exchange order even by means of an odd permutation (that is what happend here) by menas of a simple transformation
DavidSpieluhr 1 year ago
@DavidSpieluhr But this doesn't prove that a figure with 2 holes is homotopic to a figure with 1... what are you talking about? It's pretty easy to disprove, in fact, if you want something really elementary you can just triangulate them and find their Euler characteristics.
allispaul 1 year ago 11
Comment removed
DavidSpieluhr 1 year ago
hey,uh...space cadet come back down to earth i mean thats not possible to put thread through a metal stick!!!
spar130 1 year ago
oooorrrr.. you can slide the blue thing to the end of that rod and thread it through
sskittl3z 1 year ago
very very very...stupid..
skimboley 1 year ago
This is one of the reasons why topology is awesome.
ub3r2008 1 year ago
that is clay, come on! do it with metal.
marzil 1 year ago
This is a cool party trick! get some friends over or something and include this trick in the plan
vladimir0B 1 year ago
thats stupid. who carries a piece of clay around with them?
caddywhompus2000 1 year ago
You can not demonstrate this with clay, I'm not convinced until I see this done with metal
bodinian 1 year ago
i dont get it so if i try this with a metal 8 look it will do the same? Na
guralnikownz 2 years ago
if you're strong enough to move metal! lol.
Nowekian 2 years ago 50
or using some very soft metal
billywongting 1 year ago
That's what she said.
alreadytaken334 2 years ago
And this is why Graph theorists always treat the outer planer as a face, too!
Muvlonion 2 years ago
wow this is soooo clever!!!
nelsyeung 2 years ago
Great vid man ... I was trying to visualize this while reading a book and I was having a hard time. This saved the day!! 5 stars - keep up the good work.
dangarbo10 2 years ago
I don't know but I think he did a stopmotion? dont get me wrong but I still can't believe my eye's & YES I DO BELIVE in MAGIC!! heck I went 2 Las Vegas 2 see Lance Burton he's a magician to. Ithink that was cool 2!!!! =D
standup4urself98 2 years ago
I don't think it is magic or trickery. Please read the post below, I'm pretty sure it works fine. The hole with no stick just gets molded around - the stick never really goes through it.
bleeshpo 2 years ago
no it doenst.... watch it VERY carefully and you'll see it, dont wanna give the trick away though... just watch the left loop
Th3H0wT0 2 years ago
Well, of course it's stopmotion. It didn't move on its own.
OusmandTakeover 2 years ago 2
Mold the blue thing to the shape of a donut keeping the hole without the stick but making it small - like a donut with a wormhole. Take that little hole and stretch it around the stick until it is about to hit itself - like an exagerated smile. There's a little isthsmus left between the sides of the smile. Bend the clay a little around that isthsmus and you've got a stick through 2 holes. Right? No trick and no 3rd hole? This is the first time I've used the word "isthsmus".
bleeshpo 2 years ago
thats cool
XxChrisAnthonyFanxX 2 years ago
haha this is wax and computer animated trick
XcoreDK 2 years ago
Comment removed
pulswelle 2 years ago
no he dosn't he moves it
damasta67420 2 years ago
Comment removed
pulswelle 2 years ago
Comment removed
pulswelle 2 years ago
Hahaha, that was nice. In the beginning I didn't even know that is was made of clay. Otherwise I maybe could gues how to do it.
Leto85 2 years ago
Excellent!
TyYann 2 years ago
Wow that was fantasticly shit!
woopsedoo 2 years ago
sick! 5 stars!
Odood19 2 years ago
da wurd die knete verändert, und geschnitten wie sau... 1*
Techtoniq1 2 years ago
easy...
beratalbania 2 years ago 2
coool
glf123456789 2 years ago
at the top at 0:25 you transfered the outside of the object into a ring, and a ring into the outside of the object. Nicely done.
Metagami 2 years ago 2
Comment removed
tiggxx 2 years ago
Awesome combination of topology and stop motion animation!
romwell32 3 years ago 61
This has been flagged as spam show
nice with the animation but use that skill for something useful
phx13balla 3 years ago
like, for math?
romwell32 3 years ago
LOL! nice XD
hectorvrl 3 years ago 4
And also he didn't actually get the rod through the other hoop.
brahman8908 3 years ago
He built three holes. Thats stupid.
brahman8908 3 years ago
learn to count
lesliekwan80 2 years ago
it starts off with 2 holes in the dough. He then moves one hole to the center, now if you look at all sides for a brief moment you will clearly see three holes. Life is easy when you can count to three. Yes it is a cool trick, but in the first form there where 2 holes and in the last one he basically turned the whole thing spherical. Imagine putting a ball in the middle....How many ways could that ball escape? Go to the 25sec mark and you will see that it is three. YAY FOR BRAIN POWER........
brahman8908 2 years ago 2
nice stopmotion!
speedaddict2008 3 years ago 4
HahHA nicw!!!
dewinmoonl 3 years ago 2
I love that movie that you made! I can't wait to see more.
333chloe 4 years ago 2
awsome! again...
sidmjam 4 years ago 2