Tumgik
#mobius strip
nora-yoko · 6 months
Text
Tumblr media
207 notes · View notes
mendingbone · 11 months
Text
Tumblr media Tumblr media Tumblr media Tumblr media Tumblr media Tumblr media Tumblr media Tumblr media
River & Loey & Adam— ʟᴜᴄʏ ᴅᴀᴄᴜs,ᴅʀᴇᴀᴍ sᴛᴀᴛᴇ...//sᴜsᴀɴ ʜᴏᴡᴇ, sɪɴɢᴜʟᴀʀɪᴛɪᴇs//ғʀᴀɴᴢ ᴋᴀғᴋᴀ, ʟᴇᴛᴛᴇʀ ᴛᴏ ᴍɪʟᴇɴᴀ//ᴛʜᴇ ᴛʀɪᴀssɪᴄ ᴄᴜᴅᴅʟᴇ//ᴇᴛʜᴇʟ ᴄᴀɪɴ, ᴛᴡᴏ ᴄʜɪʟᴅʀᴇɴ ɪɴ ᴀ ᴍᴏᴛᴇʟ ʙᴇᴅ//ɪsᴀᴀᴄ ᴍᴀʀɪᴏɴ, ᴡᴀʀᴍ ʙᴏᴅɪᴇs//ᴍᴀʙᴇʟ, ᴇᴘɪsᴏᴅᴇ 𝟸𝟾: ᴍᴀᴛʀʏᴏsʜᴋᴀ//ᴇʀɪɴ sʟᴀᴜɢʜᴛᴇʀ, ɪ ᴡɪʟʟ ᴛᴇʟʟ ᴛʜɪs sᴛᴏʀʏ ᴛᴏ ᴛʜᴇ sᴜɴ ᴜɴᴛɪʟ ʏᴏᴜ ʀᴇᴍᴇᴍʙᴇʀ ᴛʜᴀᴛ ʏᴏᴜ ᴀʀᴇ ᴛʜᴇ sᴜɴ.
479 notes · View notes
kimberleyjean · 7 days
Text
Why are there Infinity Loops or Möbius Strips in Good Omens?
The infinity loop, it's the idea of something that is unlimited and endless, you know...
Tumblr media
In this post, I'm going to explore some of the symbols in the show that I think relate to this concept of eternity. For example, have you noticed that the infinity loop shows up amongst the symbols at the start of Season 1? While God's narrates about her "ineffable game" of her own devising, here it is on screen:
Tumblr media
Why do we see so many infinity symbols here? Where else can we see this same symbol?
Read on for the places I've spotted it in both S1, S2 and the book. I’m hoping you’ll let me know if I missed any, and what you think it all means!
Eternity in Good Omens
In the book, when Crowley is explaining the concept of eternity to Aziraphale, he uses the idea of a bird which flies every thousand years to the same mountain to sharpen it's beak. Here's the conversation, with Aziraphale's interruptions edited out (pg. 55 - 56 in my hardcopy):
“Just you think about it," said Crowley relentlessly. "You know what eternity is? You know what eternity is? I mean, d'you know what eternity is? There's this big mountain, see, a mile high, at the end of the universe, and once every thousand years there's this little bird—” “Okay. And every thousand years this bird flies—" "flies all the way to this mountain and sharpens its beak—” “Sharpen its beak on the mountain," said Crowley. "And then it flies back—” “And after a thousand years it goes and does it all again," said Crowley quickly.”
This story originally came from a folk tale called the Shepherd Boy. It's very short and you can read the Brother's Grimm version here. (Update: The Annotated Pratchett also thinks this may be a reference to James Joyce's Portrait of the Artist as a Young Man).
If we take Crowley at his word, then eternity in Good Omens is represented by repeating the same thing over again, whether that's flying forever to the same mountain, or having to watch the Sound of Music "over and over and over and over and over and over and over" into infinity.
The Infinity Loop
The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1655. Being an extremely popular symbol, it shows up in a lot of places, including the Rider-Waite Tarot deck. Several other uses are detailed on the wikipedia page.
So, where does it appear in Good Omens? In addition to God's monologue, we also see it during the S1 baby swap sequence as part of the Satanic nun's costumes. Here it is on the upside-down watches they wear:
Tumblr media
Here it is again on Newt's belt buckle in S1:
Tumblr media
Here's another possible infinity symbol on Newt's computer screen, when he's working at United Holdings:
Tumblr media
Outside of the show, it also appears on the merch released post-S2 (though a little bit disguised in the form of the snake wrapped around them). Included is the tagline of "The end was just the start".
Tumblr media
There are also two references to infinity in the book. Here's the first very near the start (pg. 14 of my 2015 hardback edition):
“He [God] plays an ineffable game of His own devising, which might be compared, from the perspective of any of the other players, [ie., everybody.] to being involved in an obscure and complex version of poker in a pitch-dark room, with blank cards, for infinite stakes, with a Dealer who won't tell you the rules, and who smiles all the time.”
And here's the other, closer to the end, at the airfield (pg. 363 of my edition):
“Adam glanced up. In one sense there was just clear air overhead. In another, stretching off to infinity, were the hosts of Heaven and Hell, wingtip to wingtip. If you looked really closely, and had been specially trained, you could tell the difference.”
So, Good Omens makes a few references to infinity, which I find interesting in itself. But wait, there's more!
The Ouroboros
There is another symbol which also appears in Good Omens and also suggests a form of repetition - the ouroboros. The ouroboros is an ancient symbol depicting a serpent or dragon eating its own tail and depicts an eternal cycle of renewal - an end which comes back to the start again. I recommend taking a look at the whole wikipedia page, which is quite fascinating:
Now, this would be a rather abstract representation, but I think this appears on the wall of Nina's cafe. Unfortunately, in my image Terry's name has been cut off, but it does say Terry and Neil within those segments of the loop:
Tumblr media
So we have the infinity symbol, the ouroboros... anything else? Well, yes, there is a third symbol for us to ponder over.
The Mobius Strip
Closely related to the idea of the infinity symbol is that of the mobius strip. To oversimplify things, the mobius strip is a object which is a continuous surface in a loop. At first glance, it appears to have two sides, but these are indeed all part of the same side (maybe we should call this "our side"?). As shown in the below gif, an object traversing the surface of the strip can repeat in a continuous loop.
Tumblr media
Where does the mobius strip appear in Good Omens? Well, it appears in the book. Here it is being used to refer to Anathema's broken bike wheel (pg. 92 in my 2015 hardback edition):
“Behind the Bentley a bicycle lay in the road, its front wheel bent into a creditable Mobius shape, its back wheel clicking ominously to a standstill.”
And again, describing the discussions of the Them, while Adam is coming into his powers (pg. 229 in my hardback):
“Serve everyone right if all the nucular bombs went off and it all started again, only prop'ly organized," said Adam. "Sometimes I think that's what I'd like to happen. An' then we could sort everythin' out." The thunder growled again. Pepper shivered. This wasn't the normal Them mobius bickering, which passed many a slow hour. There was a look in Adam's eye that his friend couldn't quite fathom—not devilment, because that was more or less there all the time, but a sort of blank grayness that was far worse.”
Not only does the word "mobius" appear twice in the book, but Neil has continued to be interested in such ideas, releasing the song Mobius Strip in April 2023 (as brought to my attention by @embracing-the-ineffable). The song is a meditation on the nature of time, magic and how things tend to repeat. In the song, the grandfather shows the boy a trick to creating a mobius strip using paper, tape and some scissors. Here's how the song concludes:
"I'm... Somewhere on the strip We all are, walking the sign of infinity into the darkness And I'm looking for signs of a life, in a memory Reflected in the mirror I'm a mobius strip We all are We only ever see one face It's the twist that brings you back where you started"
If you're unfamiliar with the idea of creating a paper-based mobius strip, here's a video on how it works:
youtube
Is the loop Aziraphale and Crowley?
To form a mobius strip, you need to cut the paper first, flip it, and then join the ends back together.
To me, this reminds me a lot of the S2 opening sequence, when we see the bridge disconnect, separating Aziraphale and Crowley on either side, only to then reconnect at another place.
Tumblr media Tumblr media
Does this mean the bridge, and perhaps the loop, represents our ineffable duo? This merch sure seems to suggest so...
Tumblr media
That could be one interpretation of this sequence, though I'm sure there are others. What do you think? Does the loop say anything about Crowley and Aziraphale's relationship to one another?
Put it all together and...
In summary, we have at least three different symbols signifying some sort of repetition in Good Omens - the infinity loop, ouroboros and mobius strip. So, what might they mean? Why do you think it's been included, and so often? Even more importantly, have I missed any? There's endless details to be mined from this show, so I wouldn't be surprised if there are more.
I have a few theories, but nothing concrete yet, so I'm really interested in hearing everyone's ideas!
120 notes · View notes
Text
His stripper name would just be Mobius Strip
Tumblr media
78 notes · View notes
art-of-mathematics · 11 months
Text
Today I went to the Technische Sammlungen Dresden with my friend, and it was very interesting!
Tumblr media Tumblr media Tumblr media
Torus (mug) and genus-2 torus (Pretzel) (has a pretzel 2 or 3 holes? 3 actually??? )
Tumblr media Tumblr media
Möbius strip:
Tumblr media Tumblr media
162 notes · View notes
drconstellation · 6 months
Text
The Great War of Tadfield Manor
Future Echoes of the Past #1
One of the books on the shelf that Jimbriel is organizing is Catch-22, by Joseph Heller. I have to admit it’s been a while since I read it, (er, several decades, if I’m truthful about it) but my enduring memory is it seemed like the author wrote it in a linear fashion, then took all the chapters and threw them up in the air and put them back together at random, because it bounces back and forth in time in a confusing kind of way. There is a method to this madness, however, and the structure is deliberate. It’s also dealing with bureaucratic absurdity, but that’s not what I’m trying to explore in this particular meta. It’s the bouncing back and forth in time bit.
Tumblr media
Now we have two series of GO to feast on, we seem to be slowly piecing together the expanded history of the GO universe in an inferred kind of way. It’s rarely given to us directly in a chunk, it’s mostly by a comment here and there and then we try to join the dots.
So we’ve learnt that there was a great deal of time that existed for Heaven before time on Earth got started, in 4004 BC, maybe an ineffably long period of time, maybe millions of years, maybe not. Sometime prior to 4004 BC, however, there was a rebellion in Heaven between at least two factions of the angels. This event is sometimes called the Great War - which is what Aziraphale is referring to in S2E6 when he is removing his halo for demon-detonating purposes; he’s not referring to what us humans would call World War 1 in the early 20th century. The result of the Great War led to the formation of Hell. The angel known as Lucifer was the leader of the losing side, and he was known as Satan afterwords. A third of the heavenly host of angels were sent with him down to Hell, and this event is called the Fall. They became fallen angels, or demons. At some point, there is supposed to be a second War, one that will decide who is the winner once and for all time. Well, that’s supposed to be the Plan - God’s Ineffable Great Plan, right? And we all know how the first attempt for that to get started ended up, don’t we?
As we start to look more closely into parallel stories and scenes between the two series, some curious pairs of parallels are starting to emerge. And even more interesting is that some of these pairs indicate that they will get a third presentation  - I’m not just talking about the 1941 Blitz scene here, there are others! And I’m going to try and talk about one of them here, that I think has largely slipped under the radar up until just recently.
There was a meta by @newfangledfancy here about the two parallel scenes in S1 and S2 involving miraculous escapes from being shot with a loaded gun, and we should expect a third one in S3. It’s worth pausing and heading over to read it at this point, but if you don’t, I’ll try to fill you in - and I will revisit in the future, as while it contained the seeds of inspiration for this meta, it also reveals something interesting about Crowley's backstory that's worth discussing on its own. You probably know what and where the S2 “miraculous escape” is referring to: the Bullet Catch scene during the 1941 Blitz minisode in S2E4. But where is the one in S1? It’s at Tadfield Manor, in S1E2, after Crowley has turned all the paintball guns into real guns, and Norman, on the yellow team, cracks it, does a big rant about his life and charges into the firing line of the opposing red team, only to be shot straight in the heart.
Let’s rewind this a little bit, because I want to talk about when Crowley and Aziraphale first arrive at Tadfield Manor. All seems calm and quiet. They stroll in side by side – and are each shot by a paintball. Yep, this has been watched over and over, comments made about the colours of the paint, how they represent their various “sides”, and the sexual innuendo in way Crowley miracles it away after Aziraphale makes heart-eyes at him. But you’ve all missed once very important clue about what was about to go down in the next few minutes that was right in front of you all along.
Tumblr media
Maybe I should pause this meta just here and refer back to my big colour meta I posted recently. I specifically went to all that work so I could come here and discuss the following event at Tadfield Manor.
Firstly, the paintball colours. There are three: blue, yellow and red.  
There is a discrepancy between the colour that book!Crowley and screen!Crowley gets hit by. In the book its yellow, but in the tv series its red. Just at this point I’m going to emphasize that yellow is not the same as gold; gold is one of the colours of Heaven, but yellow is usually associated with fear.
Secondly, Aziraphale is hit with blue paint. That’s consistent with both book and tv. Then Crowley blows the blue taint of Heaven away, because Aziraphale needs help to escape its abusive clutches, its not something he can do on his own. Ah, a cute demonstrative metaphor there, another layer to that little scene.
Tumblr media
BUT YOU DON’T SEE A BLUE COLOURED TEAM IN THE FOLLOWING BATTLE! Where is the blue team, that supposedly represents Heaven in the following battle? Did they just vanish when Crowley snapped his demon-miracle into place? I dunno, but we just see a yellow and a red coded team for the rest of the battle. But if blue is always Heaven-coded, yellow is fear, and red, while often demon-associated should be seen more as an indication of passion…what it really going on? Who is at war with who? It can’t be Heaven against Hell, because Heaven is not present, per se, as you know it, and neither is Hell, which is usually green. Oh no, it’s not that black and white…because we are watching a battle where Hell doesn’t yet exist, there is only Heaven at this point. One side, one faction, in fear, the other fighting with passion, and the division that actually creates the ‘blue’ side is yet to occur…
We’re watching a re-enactment of the Great War.
Let’s take another step back, to here: S1E2, around 15.46 minutes in. Newton Pulsifer is about to start a new job (wait, what? What the Hell is Newt doing mixed up in this? To honest, I'm not quite sure...*looks at a certain at note she made IN ALLCAPS again*...oh ffs- that is the worst joke, its got to be one of Terry's...now I can't stop cackling...oh, god now I've spotted another awful, awful joke...poor Newt, I love you more every second...)
Tumblr media
*ahem* Back to the impending battle. Because it's here in the office of UNITED WORLDWIDE HOLDINGS (HOLDINGS) - an office *wink wink* of management and bureaucracy, that we establish the tension. As Newt slides into his seat, Nigel the manager arrives to ask who is exited about the upcoming "training initiative." Turns out, not really anyone has much enthusiasm for it.
Janice is going to complain to HR. Nigel points out there is no "I" in team, and Norman, who apparently organized the whole thing, proceeds to pick the three 'eyes' out of the "team building exercise."
Tumblr media
This is going well, isn't it? [Newt departs. His role here is done.]
Lets skip to Tadfield Manor and the "training initiative" is underway. The Red team, lead by Nigel the Manager, seem to have the upper hand. The Yellow team see to be pleased at a chance to let off some steam with anyone who has annoyed them, the bitches.
Then God drops in to make an interesting observation.
Firms these days expected more than that. They wanted to establish leadership potential, group cooperation, and initiative, which allowed their employees to fire paintballs at any colleagues who irritated them.
Oh. Right. Lets deliberately cause a little chaos so we can see who's got leadership potential, who works together, and who actually has some brains? Go God! Lets start a little War and we'll pick the new Archangels out of the winners? Nice one. Plus, we get rid of all the troublemakers in the process, and we'll just be left with those who like to follow management's orders...
Then Crowley ups the ante. As the young woman who was the only keen employee to come, and is on the Red team, no less, runs past and asks "Who's winning?" he snaps his fingers and to change all the paintball guns to real guns.
Tumblr media
Cr: You're all going to lose. Az: What - what the Hell did you just do? Cr: Oh, they wanted real guns, so I gave them what they wanted.
You're all going to lose.
Aziraphale does his best to protest at the demon's bit of wicked mischief.
Az: But there are people out there shooting at each other! Cr: Well -  Lends weight to their moral argument. Everyone has free will, including the right to murder. Just think of it as a microcosm of the universe.
A microcosm of the universe?
Who's universe, Crowley? Yours? The humans? It's a big universe out there...
Things don't seem to be going to well for some, and Norman, on the Yellow team, has finally reached his breaking point. He makes a declaration. I'm only going to quote the last bit of his little speech, as I want to deal with the first bit in another meta. As he takes off his tie, and wraps it around his head, he says:
"They want war, we're going to give 'em war! OK guys, let's go get the bastards!"
Hmmm. Do the visuals remind you of anything?...
Tumblr media Tumblr media
He turns around to charge out - and is promptly shot in the heart. While it's Nigel the manager he is facing when it happens, it's actually the young woman from the Red Team who ran past Crowley and Aziraphale inside the Manor, who asked who was winning, that fired the shot. The implications of this? I'm going to save that for another meta.
The sequence moves on to the infamous wall-slam encounter, which I don't think we need to go over here, so lets skip to where Crowley and Aziraphale have finished questioning the past-Sister Mary Loquacious and have decided they've found all they are going to find here its time to leave. The police have arrived and have broken up the fight. The fun and games are over. As they walk, floating unnoticed and serene, through the chaos, Aziraphale starts to ponder.
Tumblr media
Az: You'd think he'd show up, wouldn't you? You'd think we could detect him in some way. Cr: He wont show up, not to us. Protective camouflage. He wont even know that his powers will keep him hidden from prying occult forces. Az: Occult forces? Cr: You and me. Az: I'm not occult. Angels aren't occult, we're ethereal.
Crowley refers to the two of them as one kind of entity, but Aziraphale insists there is a difference - they aren't the same. Not any more.
The War is over, and the division between Heaven and Hell has been created.
Tumblr media
[Edit: I've since finished a meta on the Bentley and it's connection to crossing the thresholds between worlds. I mention this scene in it, as it is actually a beautiful example of two different times and places existing at once, overlaid on one another, as indicated by the smoke - that's a sign we are in a subliminal space. Its why Aziraphale and Crowley seem to just glide through untouched and noticed, as they aren't really there, in a way.]
Will we see another echo of the Great War in S3? Possibly.
It's the 3-card Monte. Its the three cowrie shells and a lone caraway seed. It's the Professor's Nightmare, where you don't know how long a piece of string rope is.
It's a f*cking Mobius strip that has no beginning and no end, infinitely going around and around.
It's God's game. Only She knows where it stops.
Tumblr media
Further reading in this series:
#2: The Newton/Crowley Mirror-Parallel in S1
#3: "Not Even At Gunpoint!"
82 notes · View notes
noosphe-re · 2 months
Text
Tumblr media
A Möbius strip transformed into Boy's Surface (Costa, Paulo Henrique & Vianna, Renato & Northrup, Scott. Self Intersections in Immersions of the Projective Plane.)
26 notes · View notes
knotty-et-al · 8 months
Text
Tumblr media
It's the rainbow möbius strip!!!
Tumblr media Tumblr media Tumblr media
It is such a nice stim toy! I love the colors, I love the sorting of the colors! I love the weight of the metal of these foldback clamps! I like the feeling of tension of the thick paper strip inlay! I love those metal handles standing out! I love those unloud but hearable clicking sounds of these metal handles!
I love the haptics! I love the colors! I love that it is an object from one of my special interests (math: topology). I love everything about it!
I love how quickly it is done!
I love that I can also use this strip as storing tool for the foldback clamps as well! (It can also be flattened relatively quickly. The strip just needs to be opened.)
62 notes · View notes
definitelysome1 · 3 months
Text
Tumblr media
SO!!
Orv(Kim dokja’s timeline) started bc WOS finished, but WOS started bc ORV finished- then you get this! A 3d version is called a mobius strip! (I think, but please correct me if I’m wrong)
27 notes · View notes
gemsbokk · 23 days
Text
posting it here as well because it did horribly on ig and i spent literal hours on this lmao
8 notes · View notes
Text
Please reblog if you vote if you would be so kind!
73 notes · View notes
youare-number6 · 10 months
Text
Möbius Strip World - Pt 6
Today's themes - Deserts, Chicago cityscapes, gardens,
Tumblr media Tumblr media Tumblr media Tumblr media Tumblr media Tumblr media
31 notes · View notes
thetoxic35 · 1 year
Text
CAN WE TALK ABOUT THE MOBIUS STRIP SCENE
As someone that holds a BS degree in mathematics and used to make paper mobius strips in my high school math club, this floored me.
Tumblr media
Jolyne using Stone Free's strings to turn her body into a mobius strip to nullify C-Moon's abilities was absolutely brilliant.
A Mobius strip, as accurately explained in the episode, is infinite with no clear beginning or end. Thus, when inverted it appears as if nothing happened. Therefore, when C-Moon hits Jolyne and attempts to invert her body (turn where he hit inside-out as if taking off a shirt), it appears as if the punch had no effect.
Anyways, this is my favorite fight in the anime now. I really hope the Golden Ratio fight in Steel Ball Run gets animated someday.
95 notes · View notes
oogmonster · 3 months
Text
He was a Möbius Strip Boy... she was a Klein Bottle Girl
7 notes · View notes
art-of-mathematics · 1 year
Text
... if you wonder where I started to doodle the drawing of schröinger's cat in the klein bottle...
Tumblr media
... It was on that non-linear regression visualization.
Just as I indulged in thinking about what this non-linear regression thing might depict in real life (hint: some non-linear causality stuff... so to speak.. errr... primarily conservation of momentum... ) I started to randomly draw a möbius strip.
And then I somewhat imagined a cat in that möbius strip and drew that cat body above the part of the möbius strip. (That's one of the pragmatic reasons why the cat is very dark there. The other reason is for pure aesthetical aspects... )
And then I had a cat floating in a möbius strip.
This led me to adding a klein bottle around the cat-möbius strip bundle.
This is literally recursive mindfucks...
The way this drawing of Schrödingers cat in a klein bottle emerged (process of creating it) is more art than the actual resulting artwork/drawing (the created/creation)
----- --- -- - -
This train of thought partially reminds me of the aphorism:
'The whole is more than the sum of its parts, as it contains both the parts as well as the interaction patterns between the parts.'
84 notes · View notes
dizzyhslightlyvoided · 11 months
Text
ah yes, the scene in morbius where matt smith does a sexy shirtless dance. the morbius strip.
20 notes · View notes