If Planets Were Donuts

What if planets were not (nearly) spherical but rather torus/donut shaped? Topics discussed: types of tori, stability of torus planets, gravity vs centrifugal force, curvature, tidal forces, seasons and day/night cycles, climate, hurricanes, coriolis forces, tectonics, internal heating, moons, and the four color theorem.
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CREDIT:
► Anders Sandberg: goo.gl/hc8pys
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LINKS:
►Torus on Wikipedia: goo.gl/QbdSKA
►Topography of a Twisted Torus: goo.gl/zlAe3q
►Embedding a Torus: goo.gl/dBxHSy
►Torus-Earth: goo.gl/99xZXK
►Torus-Earth 2: goo.gl/xlK4iW
►Toroidal World: goo.gl/9aWjck
►Torus Planet Simulation: goo.gl/Esm8OX
►Discussion on Torus planets: goo.gl/XMLV7D

[@joes4866]

I just realized how cool it would be to look up and see the other part of the planet.

[@0Blueaura]

+Joseph Schmitz You never though of that before?

[@defeatSpace]

+Joseph Schmitz It would be like a Halo Ring.

[@khorps4756]

+Joseph Schmitz me to, i never thought having rings or a torus shaped planet would be so cool, NASA, sign me up if you find one

[@icannotchoose]

Me: *Calls friend* I can see your house from here! Friend: You've made that joke before...like 50 times

[@BrendanCalliesComposer]

Play halo

[@maxwellsimon4538]

What if a species of Glactus-like organisms created planet sized rings of rocks, tossed them around suns, let complex life "ferment" on them and then later ate the entire planet, along with it's matured ecosystem, as a delicious afternoon snack?

[@carsonianthegreat4672]

So does this mean we live in a donut hole?😳

[@maxwellsimon4538]

Carsonian The Great ... uh oh

[@PedroGeaquinto]

hahaha your profile pic is so related, that i'm laughing. a "WORLDBuILDING" video, plus a creature which consumes planets.

[@siyacer]

Mass execution of the Glactus-like organisms by the complex life.

[@pudy2487]

thats like leaving bread out and then eating it once it's moldy as a delicious afternoon mold snack

[@nade5557]

what about the magnetic field?

[@ilanzatonski8826]

Yousef Zidane idk lol

[@DrewLSsix]

Yousef Zidane. One would be possible.

[@RavenclawSeer]

It could potentially be quite strong... If artificial...

[@jochemgoede5759]

Well, actually, I think it wouldn't be very strong, because our magnetic field is created mostly by a large mass of iron rich magma rotating in the Earth's core(I heard something about an experiment where they use a pretty huge ball of molten sodium to simulate that, which is extremely dangerous because sodium really likes to catch fire and it does even more so when in contact with water) Anyway, because the torus planet doesn't have that I think it wouldn't have a strong magnetic field; but idk, maybe a big ring is better than a small ball? I do think the magnetic field is most interesting in the hole

[@smartart6841]

Very wierd with a hoop shaped core

[@LikeAMos]

I think that is would be such a good video if yeti dynamics made a simulation of each of the environments on a torus shaped planet.

[@Lucas72928]

LikeAMos we have to make this happen.

[@nubeees]

LikeAMos How about YES.

[@Artifexian]

LikeAMos Trust me, know one wants this more than me!

[@lock_ray]

LikeAMos Why can I only like a comment once? That's the best idea ever!

[@MyNameIsCain]

This is one of the most amazing concepts and videos I have ever seen. Also the most delicious planets ever.

[@Artifexian]

CainGrey Cheers, buddy! Glad you enjoyed

[@L1M.L4M]

Mmm... rock donuts...

[@Masterofachief]

the universe is huge. so there must be one of these planets out there

[@thechaoslp2047]

Ye

[@ldjuk9463]

Plus there must be more that this universe

[@shnitzle3094]

There isn't in the observable universe. But maybe?

[@theuncalledfor]

+Shnitzle McFizzle Just because we haven't found one, doesn't mean it doesn't exist. The observable universe is HUGE. Similarly, just because the universe is huge, doesn't mean one of these has to have formed naturally, or even at all. They might just be unlikely enough that they actually don't exist, or don't exist simply by chance alone.

[@AetherMinecraft225]

Shnitzle McFizzle Your comment kills my brain cells.

[@theorodrigues2267]

Could you do a video about the ways there could be an actual flat world, like a square, or a disc?

[@Artifexian]

Theo Rodriguês I'm planning on making videos about cube planets and flat worlds. Hang in there, Theo. :)

[@DelthinTheRanger]

+bonbon42 ...

[@zegamingcuber857]

+bonbon42 actually Minecraft is a flat square

[@leedoughty1607]

+AidanTBM // TheBudderMinecart but you can walk around a mc world (pc), dosnt that make it a sphere or are wormholes to blame

[@a1frieren.]

+The Habinator Nu, MC wurlds r squer

[@ScottaHemi440]

ummmm donut world

[@Artifexian]

ScottaHemi Om nom nom.

[@sizor3ds]

would be a pain in the ass to make a map of that planet

[@asteroidventures2423]

Millad Bahrami actually it would be easier. You wouldn't have to deal with any projection system at the poles (in video games you often see pinched poles on planets) For a torus, you just unroll it into a cyllinder, then unroll the cyllinder. The only change here is that whenever you move above the "top" of your map, you would automatically appear at the bottom. Unlike a spherical map where you have to calculate where you would be on a rectangular projection. Just think about it, would it be easier to cut apart a soccer ball into a rectangle, or to unroll a paper towel roll?

[@Alienturnedhuman]

Millad Bahrami Actually, it wouldn't - a torus can be mapped to a rectangle as well, only where on a rectangular projection of a sphere one edge joins to the other (east and west on most maps of the Earth), both edges join together on the map of a torus. This means that on a rectangular map of a torus, with the bottom edge being south, the top edge would also be south, the middle would be north, and the 25% / 75% distances would be the outside / inside equators. However unlike maps of Earth it would be more complicated to work out distances, as both equators would appear the same size whereas the inside equator is shorter than the outside one. However, as a rectangular map of the Earth already has this problem (ie, latitudes get shorter the further away from the equator you get but appear the same length on a map) - on a torus map it would just mean that one half of the map had latitudes decreasing as you move away from the equator and the others would have it increasing, with the poles being equal in length.

[@mbartelsm]

Asteroid Ventures Actually, you do need different projections for torus shaped worlds as the planet would be a 3 dimensional shape being shown in a 2D space. A rectangular projection would be one option, but then you would also have others, such as shape preserving projections and equidistant projections. Though I agree that mapping a torus is definitely easier than mapping a sphere

[@durdleduc8520]

I know!

[@arandomlizard3411]

Also globes would be shaped like donuts so kids might eat them by accident

[@ThePremordialGod]

Curiosity led me here from SciShow. I really appreciated how in-depth you went with, well, everything. Thanks for the extra mile-worth of effort!

[@salt1404]

I observe you put lots of hard work into your video, RESPECT! I don't understand how some people put crappy videos that have no work ethic into them and get hundreds of thousands of views, and you put so much work into a great video and get 23,000 views...this world is a fucked up place, only if the people that put in work actually got what they deserved, I have so much respect for you dude, keep up the great videos!

[@_Mackan]

I honestly thought this was gonna be a meme video, but it's not and I'm happily surprised.

[@NikolajLepka]

You're back!! A thing to note though "Centrifugal Force" doesn't actually exist.. There's a thing called the "Centripetal Force" which works in the opposite direction. An example: Say you have a rock tied to a rope, you now start swinging the rock in a big circle, faster and faster. You can feel the rock pulling harder on the rope the faster you go, as if there was a force dragging it out. This perceived force is what you call centrifugal. The reality is that there is no force acting outward, but rather one acting inward, one keeping the rock from flying away. If at any point during the swinging the rope were to snap, the rock would fly off in a direction perpendicular to the rope. What you feel in the rope is actually the rope pulling back on the rock, constantly resisting it flying away, changing its direction as it goes along. (I even provided an illustration: imgur.com/CgrtUB8 ) The centripetal force translates to everything having an orbit, in the case of solar system, rather than it being a rope holding a rock in place, it's gravity (and a bigger rock). This is also why the faster a planet spins, the more it bulges in the middle, the rotation is counteracting the gravity more in the place it spins the fastest: The equator So in fact, on your torus diagram, you could just have left off the blue arrows, as the gravity would be what would keep the torus from falling apart; but the rotation would also be what would keep the gravity from crushing it into a sphere.

[@Artifexian]

Nikolaj Lepka This is a very valid point. Thanks for the comment :)

[@lock_ray]

Nikolaj Lepka I keep seeing this sort of comment everywhere... Yes it's a phantom force, but it still exists, as long as you are in a rotating reference frame. If you're gonna say that centrifugal forces aren't real, then you must think the same for gravity, as in general relativity, it is nothing but a phantom force caused by the curvature of space-time.

[@felipevasconcelos6736]

It's a pseudoforce, but can be treated like any other force.

[@DeadPyro96]

Right, but for the sake of simplicity it's absolutely fine to use the term centrifugal force. Hell you can even calculate it. It might be a phantom force, but it's easy to understand and explain and its completely fine to use it in a video like this.

[@daverobson3084]

Niko L Excellent description.

[@i_teleported_bread7404]

"Polar Rings of Fire" sounds like the coolest album ever.

[@caityreads8070]

I'm sold. I've been wanting to have an interesting feature of a fantasy world for D&D for quite some time, and this is by far the most interesting concept I've seen. GG!

[@jameswilkes6091]

+Northern Fried Chicken Good luck! By the way I'm interested why you have the Northern counties of England on your picture, which one are you from?

[@caityreads8070]

James Wilkes Cheshire, the southern most of them unfortunately. That I could, I'd sooner live up in the Lake District or York.

[@jameswilkes6091]

Northern Fried Chicken South Yorkshire here, I've always called Cumbria "The Land of the Forsaken" purely down to how miserable the weather is there, purely in jest of course. :)

[@poke-myth6534]

Imagine the amount of time travel you could do on this planet

[@connorthornberg]

This video was really well put together, kudos! I'm loving going through all these and making my world as real and well thought out as I can. But it got me thinking, what about an inverted Saturn? In other words, some sort of non terrestrial body at the center that's surrounded by a terrestrial torus or "donut" shape that's solid and inhabitable. Would that be theoretically possible? If not, what is preventing that from being the case? Judging from this video, I'd imagine this torus would have to be spinning incredibly quickly and the body at the certain would have to be unusual in some way. Perhaps a wormhole or some other kind of space-based anomaly.

[@paulflute]

love it.. took me a moment to figure out why hula hoops would be made of tin.. and i love the taurus eart.. but you also pronounce it earth sometimes..

[@sakmannakki7294]

what about the magnetic field... where would the liquid iron core be

[@bee5120]

It would be inside the minor radii -- in other words, inside the tube of the donut shape like a creme filled donut.

[@MGDrzyzga]

Given the instability on geologic time scales, I'm curious about the end of a torus world: - Will it collapse into a sphere? - Or break apart into multiple worlds? - Does the nudge that breaks its metastability matter? - Timeline - here's the big one: what would it be like to live on a torus world that's ceasing to be a torus world? What sort of apocalyptic setting could I write?

[@sijoule965]

Me then: has been watching world building videos, without having any inspiration to world build Me now: let's get cracking

[@LadyDeirdre]

Conjectural fantasy-universe stellar explorers upon discovering the doughnut world: "The local gods must have been smoking the *really* good stuff."

[@Lawrencelot89]

What would be the smallest possible hole a stable donut planet could have?

[@CZPC]

This is really intresting. I was wierded out by the title because I didnt know donut type planets existed. Hopefully when we meet ailens they would live on one of these.

[@jameswilkes6091]

+DragonOnZap23 They can't exist naturally, the video said so. If there ever was one it'd have to be artificial, and that would need an inordinate amount of scientific knowledge and resources.

[@tornadomash00]

i would wanna live in that kind of world

[@Divinemakyr]

You've convinced me. My planet is going to be a nice fat donut.

[@ohboyitstheanti-spiral3978]

Astronaut: I shall now go to space! *goes up* *hits the pacific ocean* Astronaut: Oh yeah, donut planet...

[@Lucas72928]

It's really cool to see how many comments you reply to. Keep up the good work!

[@Artifexian]

LucasFlecoRepe I try my best.

[@bloodypommelstudios7144]

Really interesting, never considered the exotic moon orbits before.

[@davidripplinger9367]

Cool video. I noticed, however, that you kept saying refraction. Didn't you mean reflection?

[@Richard_is_cool]

SciShow just made a video like yours, only worse.

[@RavenclawSeer]

+Richard S. I wish they didn't. They didn't go into quite as much detail and dumbed it down.

[@ChrisCrash043]

+Richard S. Actually, I'm glad they did that video.. without it I wouldn't have found this channel or at least not yet^^

[@Richard_is_cool]

+ChrisCrash043 Yes, possibly :). Although I first saw him at Xidnaf's a day earlier.

[@Zb5141]

This is the greatest question anyone has ever asked.

[@flikkeringlightz7472]

I need to watch this again because you speak so quickly that i cant follow this complicated stuff... But it sounds Amazing!!!

[@ilittlemonster22]

What about Halo style ring world's?

[@slinkerdeer]

He explained already that ring shaped planets are not possible due to the thickness difference in height and depth, It would need to be built via artificial means. So, naturaly not possible, non-natural, possible with a strong enough material.

[@jonathanjoestar3839]

Besides the weather, a species of extremely heat - and lack of heat - resistant creatures would be amazing.

[@DarkDXZ]

Are there any examples of such worlds in fiction/worldbuilding (I mean the two are kinda related but still)? Because boy this stuff has a ton of potential just by itself.

[@StuziCamis]

The only thing I can think of is Ringworld (I think it's called that. It's the largest man made structure in all of science fiction.)

[@nubeees]

StuziCamis Ringworld is actually not the largest, google Dyson spheres. :P

[@malcolmsvensson6585]

Ringworlds are similar to torusworlds, yeah, but not the same. A ringworld only occupies the centre of the ring, so there's only one radius - no circling around the globe, sadly. In addition, a ringworld's "gravity" is provided solely by centrifugal force, whereas a torusworld's gravity is part real gravity, part centrifugal force gravity.

[@commentor5732]

Oh I thought the Earth was a donut but I guess I learnt something new

[@dmtubbs2990]

But what would the atmosphere of this planet be like? This came to mind because you said that there would be mountains several times higher than Mt. Everest on the inside of the torus, with Everest being low on Oxygen at the summit, would there be an even atmosphere across the inside of the torus? Would it be an atmosphere centered in a sphere around the middle of the torus which is weakest at the outside of the torus? I'm fascinated now!

[@FuryOmega]

What a phenomenally weird idea! Thanks for the explanation.

[@niklimnat1061]

To answer the question: You would be like, "Man, thats fucking sweet! I can't believe the world is made of donuts!"

[@thomasdelbert]

I’m curious - is there a proof for your 7 colour theorem? Given that the 4 colour theorem took well over 100 years to prove?

[@KuraIthys]

Exoconfectionry. Now there's a word I wasn't prepared for. XD

[@chocolatecrud]

I can't even explain how much I love this video

[@diegovera2507]

centrifugal is not a force ((: centripetal is a force ((:

[@wodell586]

whoa there, it's called angular momentum

[@onemadscientist7305]

Well actually, in a rotating reference frame, centrifugal (+coriolis) forces are a thing. But some might argue that this is kind of cheating and that they're only virtual forces.

[@jaredsquirrels5242]

Could you discuss something how an inside out planet would develop?

[@melvinelderhorst5920]

Nicely told, missed the vids :) Good to see you are back.

[@Artifexian]

melvin e Ye, this one took me AGES to put together. Sorry about the wait.

[@alternatemusicaddict5226]

That would be soooo cool to be on the inside of the doughnut

[@wander-0014]

After what you mentioned about the gravitational pull at the center of the donut world, do you think that civilizations that existed on this world would be able to find a way to exploit this factor of their world , allowing them to travel out into the cosmos via essentially what Can be described as a naturally occurring gravity propelled Rail cannon

[@ThePerformerMan]

Hey Edgar! I've got an idea for a story world thats a series of concentric rings, and I was wondering if you had any thoughts on the physics of such a place? The world would be held together in stable relative positions with in-world magic, but aside from that I've been trying to figure out how a disk-shaped gravity would affect oceans (I'm thinking solid-mineral rings and bodies of water held in between them) and lunar bodies. The story will take place over several millennia, so I need to work out the long term physics of the body's orbit, day/night cycle, and tidal forces both with and without a lunar body. Any advice you can give is greatly appreciated! Thanks, -Redal-

[@dearrain5639]

Please make a video about donut-shaped earth with rings!!

[@KlaxontheImpailr]

6:00 so would the moon be the doughnut's hole?

[@shapooopiefour7173]

What if you made the planet absolutely massive to the point where days were 24 hours? Edit: that’s probably crush all life. Would making it bigger even work, since you’d have to increase rotation?

[@Mysteri0usChannel]

Physicist here, if you want something literally "cool" to happen on the inside of the torus, either don't tilt the rotational axis at all or make it so that some of the inside is "hidden" behind the opposing half of the torus. Because, if we assume a slightly tilted axis of rotation, the "poles" would behave "normally", i.e. "just as on earth", but if you move away, towards the inner equator, you'd pass through a zone that would experience polar night half a year, and would then experience a day-night cycle with days becoming ever so slightly longer, eventually reaching a 12 hour (i.e. half cycle) day during the "summer solset" before they'd be getting shorter, while even closer to the inner equator you'd actually experience no daylight whatsoever at ALL. Because while your "half" of the torus is in the front, the daylight is obscured by the landmass between you and the sun (just light night on earth), but 12 hours later, when you are at the backside, facing towards the sun, well, the other half of the torus is obscuring its light, meaning you don't get any light AT ALL. So the warmest and brightest part of the torus inner side would be the poles, the "temperate zones" would experience polar night for half a year and slowly longer getting days not surpassing the 12 hour mark for the other half of the year, with the "tropics" never receiving any daylight whatsoever.

[@joulesjams20]

Why would they need 7 colours. The 4 colour theorem works on a plane and planes can be rolled into a torus, so I need not see the need for 7 colours.

[@GamerZapu]

You scienced the hell out of this.

[@jrjubach]

Awesome video. The artwork is oddly satisfying.

[@sesaed4269]

making a map of this planed would be really interesting

[@GiLMGaming]

Love your videos man they are very interesting and fun to watch .

[@Artifexian]

GiLM Glad to hear. Thanks for the kind words.

[@GiLMGaming]

Artifexian One thing I am wondering about. Is it possible to keep the atmosphere on a ring world like halo. The reason I dont think its possible is because the rings centrifugal force would make the air just flow off the side.

[@LeDingueDeJeuxVideos]

@@GiLMGaming This is unlikely indeed. You'd need something more akin to a closed tunnel with windows to let light through.

[@petersmythe6462]

Wait? The four-colour-theorem doesn't apply to toroids?

[@lohphat]

No mention of ocean pooling around the outer edge to to the rapid spin.

[@jimbuddha]

Haha. @ 1.22 you said centrifugal. I wonder how long it took to get commentators mentioning centripetal forces instead.

[@Frahamen]

Could you project a flat map of a torus-shaped world?

[@christopherellis2663]

there is a sci-fi novel set on such a toroid. the author was apparently unaware of this data. one had to fly through the hole to get to the other side

[@hsupert8967]

When I was watching the first minute, I thought 'Cool! Super spinning donuts in space!'

[@bertholdstegemann4475]

What abut Coriolis Forces tearing up the body of the planet? Internal magma currents would be an interesting matter to say the least

[@the_smiling_blobfish3682]

if you had an extremely fast rotating world would its atmosphere get almost completely torn off as particles would fly off into space? wouldnt it also be extremely unstable?

[@jaytea3085]

do you think you could do a video on tidally locked planets?

[@phillipayriss3608]

The main danger faced by and a donut planet would be being eaten either by it's inhabitants, or giant space monsters. After watching this video I could not resist the urge to go out and buy some donuts. Seriously.

[@LuminantLion]

What about a double planet system where two donut shaped planets intersect each other like two rings of a chain?

[@pixooooo]

This is such a great video I have problems describing how much it blew my mind. Thank you very much!

[@Artifexian]

Peter Pokojny No problems. Glad I could induce a bit of cranial rupturing. :)

[@willnash7907]

Nice work, Id' like to see more content about strange and interesting planet shapes. :)

[@Fireheart318]

Awesome! My alien species (best compared to the Forerunners from Halo) actually came from a toroid called L'Hav. Probably the most interesting part is the moon, L'Kyr, which orbits in a figure-8 pattern through the "donut hole". It's a city moon with a ton of geothermal plants as well that beam excess power back to L'Hav with microwave guns. Crazy stuffs!

[@vicenteborges7781]

Please do a Cube next!

[@neck-o]

*What if the donut planet had all its crust look like a coating on top, and the mantle as the dough being covered instead?*

[@crosisbh1451]

Atleast in a torus world, you most likely won't have people denying that it's round lol.

[@Quiltfish]

I had so many PTSD flashbacks to spirit science during this video...

[@misomiso8228]

1. How big would a donut planet need to be to have an AVERAGE gravity the same as Earths? 2. What is the surface area of the planet compared to an Earth of the same mass? Is there less surface area in total?

[@Lucas72928]

3:40 the Sun is 0.5º 40 to 60 times smaller than the other side of the toroidal planet.

[@Artifexian]

LucasFlecoRepe ...whoops. Sorry about the mistake will put up an annotation now.

[@senshtatulo]

3:42 The sun (and moon) are not 5 degrees across, but 0.5 degrees.

[@LouisOnAir]

But what map projection would they use?

[@kazkk2321]

How do you go about researching such things and how do you come to understanding the math and the physics so well. I tried creating a conlang but gave up due to its great complexity .

[@rds7516]

How would a map of a donut world look like?

[@SuperCutealien]

Just imagine if an actual donut planet. That was made of dough and had icing. Endless donuts. That’s what it would be. Mmmm...

[@i_teleported_bread7404]

Have you ever looked at the Wikipedia page of a toroidal planet and thought "Man, I wish I knew this much about my fictional torus planet."? What am I saying, of course you have, let's do this.

[@angelgames8711]

I might make a story placed on a "doughnut world" because of this...

[@stratussol2475]

There is no way for a moon to exist inside the planet's hole because it would get pulled outward by the planet around it and become a pancake expanding outward towards the donut planet's inner side until crashing into it, meaning that an already unstable location for a moon would also tear it apart by tidal forces.

[@elaztic]

Thanks this helped me alot

[@eggroll3055]

"What if the world was made of glazed donuts?"

[@alantheannihilator3599]

If i was only the biggest giant in the galaxy and eat these donuts......

[@Lee0723sVideos]

Somebody please make a movie or a video game set in a donut world.

[@rasendestroyer2701]

On the farest outside of the planet, where the speed from the rotation is the highest, could there be like negative gravity due to the coriolis effect and the rapid spin and... would this mean that if you go there you would simply fall off or (better) be thrown off the planet? It would be funny to know xD

[@luciformcaim]

i needed to know this

[@scoutofthe107th]

all mass produces gravity, if you are on the inner ring the gravity produced by the mass below you would be added to the gravity produced by centrifugal force. gravity does not emanate from the center of objects, it emanates from mass. the interior ring's gravity would most likely be the place with the highest gravity.

[@devon5714]

Someone should write a book about this

[@theuncalledfor]

Since they're apparently near-impossible by natural formation, I assume it would be much more possible for a super advanced alien race to create such a world. That, or a far future humanity.

[@isaiahphillip4112]

Would you even be able to stand on the inner surface of the donut? Gravity acts toward the center of mass, so you would fall off of the inner surface towards the empty middle point right?

[@kumbi8368]

No, you would not. Because the force which is keeping the world in the shape of a torus is the same force that would keep you standing firmly on the inner rim. Centrifugal force. In the case where the earth isn't spinning very fast, yes, not only you but the entire planet would gravitate towards the empty middle point and form a sphere.

[@durdleduc8520]

But wouldn't gravity be super weird there? To make it possible to stand in the hole, there would have to be a really weird gravitational pull through the the ring if this planet, which would probably sometimes cause yourself to get randomly pulled back and forth, and side to side. But, if the gravitational pull comes from the center of the planet, where there is space, wouldn't that mean stepping too close would send you flying to space? Or am I just being stupid?

[@evanweaver7373]

This video blew my mind...

[@evanweaver7373]

I think you deserve 10,000,000 subs. I love this channel so much after 1 video! Keep it up!

[@justyouraveragezoomer]

edger if planets were donuts then aliens would just come eat us with a side of coffee...😂😛

[@jennielahaylahay5111]

Don't know why, but I read the title as "If Planets were Delicious"