Mysterium Cosmographicum

GET THE CURIOSITY BOX: www.curiositybox.com
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MORE INFO:
thatsmaths.com/2016/10/13/kep...
www.cyphertext.net/gfish/Keple...
en.wikipedia.org/wiki/Platoni...
en.wikipedia.org/wiki/Geocent...
en.wikipedia.org/wiki/Helioce...
Images from:
goo.gl/JuF2wB
en.wikipedia.org/wiki/Regular...
Vsauce PO Box: PO Box 33168
L.A. CA 90033
**CREDITS**
Hosted by
Michael Stevens
Edited by
Jack Merline
VFX by
Eric Langlay
( / ericlanglay )
Music by Jake Chudnow
( / jakechudnow )
**VSAUCE LINKS**
Vsauce1: / vsauce1
Vsauce2: / vsauce2
Vsauce3: / vsauce3

[@rabbiqa]

We all know fire is just sharp air

[@adamlafountain5727]

*spicy air

[@devonmeekflips2635]

Fair Nuf

[@NovaCaine2489]

Angry air

[@kcg6016]

realization-100

[@coltmagnus6572]

Though it doesn't exist without air..

[@cloverpepsi]

Stop calling it a "icosahedron" That's a lowly name. It's a gyroelongated pentagonal bipyramid

[@beckoo5584]

No.... D20

[@404found00]

_DnD memories intensifies_

[@talinuva]

It's actually a Snub Tetratetrahedron.

[@__Bruh]

*Snub Distetrahedron

[@CanadianCoffeeAddict]

YESS!

[@venus_envy]

1:47 Ah, yes the elements of which everything is comprised: campfire, turnip garden, lobster king, sunshine and finally, bird.

[@adammandic4229]

I mean, they are comprised out of protons, neutrons and electrons, you can make some pretty wacky stuff with them

[@coldashell7057]

_THE B I R D_

[@leonrivasburruel3231]

The most basic of elements indeed.

[@MidoriNatsume]

But everything changed when the Campfire Nation attached.

[@calvincoolidgesimp4380]

Adam Mandić you are composed of homosexual

[@DrScrubbington]

"Modern measurements have shown that this isn't how the solar system works" Okay but Kepler was PRETTY DAMN CLOSE you can't deny how almost-perfect it is

[@angelmendez-rivera351]

Dr Scrubbington He was very accurate with regards to where the planets were, but he was VERY wrong about why they were there.

[@maxwellsequation4887]

Kepler was a great scientist (since physicist was not a term then) and it's obvious that he was incredibly genius, so he had to be very close( just like scientist today are to the quantum physics)

[@thegoodlydragon7452]

The legacy of Greek philosophy was a mixed bag. The concept of logic, applied math, and scrutiny definitely aided progress, but at the same time these obsessions with all of these particular notions like Plato's forms, Plato's solids, Aristotle's notions of physics being based on these quasi-mystical ideas of cosmic place etc. were definitely impediments when they were clung to dogmatically. I think there's a lesson in that for our own modern times. Abstracting might be the essence of good science, but ONLY when the model actually fits the data, and NOT just because it seems pretty and orderly. Kepler was in that intellectual milieu and so of course he was influenced by its prejudices towards favoring all things classical, passed down as received wisdom from the great masters.

[@Mr._Dooter]

Yeah, but a lot of planets and stuff ave his name

[@WakandaDigitalGroup]

We still don't know what is upthere why ir his don't let them fool you!!

[@DolanDark]

Damn Michael lookin thicc

[@zane2065]

Fancy seeing you here

[@vastviksewani3572]

Dolan Dark More Vsauce Memes!!

[@applepear2413]

🅱️hicc

[@ThreeNinjaDucks]

the m in Micheal stands for mmmmmm

[@CezarMS1]

Three Ninja Ducks So precious.

[@littolicce]

he probably forgot Vsauce's main channel's password and that's why he's uploading it here

[@zyibesixdouze4863]

True

[@mikeissweet]

Very original comment, alittalien

[@__Razer]

I think it has more to do with his Red series, Mind Field. KZbin probably has a contract on the main channel so he's not allowed to post regular content there, so instead he posts here.

[@m-yday]

Razer1103 there’s no way that’s true. KZbin wouldn’t stifle creators like that, especially if they have a KZbin Red series. I think it’s because this is more of a mini video; he doesn’t go off on many tangents. Instead, he completely focused on the Mysterium Cosmographicum

[@amanrubey]

Lol

[@Afanasii_Kamenkoi]

Want to have a unique intro? Just crabwalk into the frame naked

[@ExileRavy]

I was hoping he'd raise his hands like claws, but you can't have everything I guess

[@birb1686]

Agreed

[@Ewumm]

You want something don’t you

[@jubjub7673]

A Platonic solid is what I get put in when I ask out a woman

[@liiiiinx]

Mauro Molinero **visible confusion**

[@blackmask9669]

@Dude Bro nonromantic erection*

[@vaiyt]

The shame cube is a platonic solid

[@neonfroot]

Sometimes you get a love triangle. Sometimes you get a dodecahedron of previous lovers.

[@Zeldaschampion]

Seeing Micheal half naked followed by the title Micheal's toys made me think we were going to see a different variety of toys....

[@avanewman3545]

o dear

[@craigcorson3036]

Well, sure it did. That's the result of having a mind that is in the gutter.

[@user-sd5dz2dc6u]

Zeldas Champion ( ͡° ͜ʖ ͡°)

[@OxyPox]

Craig Corson You sure seem fun. /s

[@Zeldaschampion]

@Craig Corson But I was talking about toys used in a bath like rubber ducks. It sounds like your mind was in the gutter....

[@SleepySkull1]

Michael, Did you forget your VSauce's account password?

[@SkonTeam]

I think it's because of the Mind Field series he does on KZbin Red (money) that he stopped making Vsauce videos, or he forgot his password .

[@FreeMindedMason]

He also does braincandy now, if you like, were watching

[@AbuHajarAlBugatti]

He just wants anyone to praise his DONG

[@mike_hock]

SleepySkull he’s stopped doing it for fun, now it’s for money

[@carltonsorrells7609]

SkonTeam: Agreed. But I see it more of as KZbin Red has claimed and taken all rights that he can't post these types of videos there "freely" during the contract.

[@citris_egg5389]

"auugh, platonic." my favourite quote ever

[@citris_egg5389]

3:20

[@hedihesni5977]

😂😂😂

[@ashleyknight1384]

Me with me fear of commitment

[@hedihesni5977]

I was scrolling down to see who else finds that part as hilarious. 😂

[@MoioTube]

The thrill of knowing that all this time I was playing DnD with platonic solids. Thank you, Michael.

[@ethanjacobrosca7833]

All of them are Platonic solids except the d10, which is a Pentagonal trapezohedron

[@aguyonasiteontheinternet578]

@@ethanjacobrosca7833 is there a better 10-faced dice? the pentagonal trapezohedron just looks wrong.

[@ethanjacobrosca7833]

@@aguyonasiteontheinternet578 I am not sure, but making a Platonic solid with ten faces seems impossible

[@skifli8789]

Earth, air, fire, water, all four nations lived in harmony until the dodecahedrons attacked

[@Statsy10]

Those were nations? All this time I thought that they were an Earth, Wind, and Fire cover band.

[@iagreebut6813]

skifli878 underrated comment

[@zyibesixdouze4863]

Double underrated comment

[@josefernandes96]

People didn't see the last airbender. Feels bad man

[@Gandalf_the_Black_]

r/surrealmemes

[@elvinrobin4677]

The cube is what the earth is made of, *insert minecraft music here*

[@brysonsirus7747]

Silent Sheep ..what? :|

[@beaconblaster33]

Mellohi

[@KraggHC]

You, a simpleton: "I am going swimming". Me, an intellectual: "I am going to submerse myself in Rolly Boys".

[@bekfastdude8022]

i will go submerse into icosahedra

[@memerboi69.0]

enter the d20s

[@matthewpopow6647]

"God does not play dice." -Einstein of Aristotle's DnD game

[@danbollows2871]

I like where this channel is going...

[@fatguy2002]

honestly the only reason I subscribed to this channel is because Micheal started uploading interesting content here

[@qlcikgottem6610]

Amen

[@MM-hi]

Thanks!

[@RedOneWTF]

Hey Vsauce, Micheal here teach me

[@RazinShaikh]

This channel is pure Dolan Dark material

[@nottoday5773]

0:02 this dong has gone wild

[@prodtheontar]

hello mapper i quit mapping today

[@chalkfourtyfive]

Prod y tho

[@prodtheontar]

bc i got bored of it and i got other stuff to do -like memes-

[@danrebeiz4598]

4:01 if I’m not mistaken, I believe Michael just anyway’d Plato.

[@ozargaman6148]

4:26 gyroelongated pentagonal bipyramid

[@Schattengewaechs99]

You know you‘re a smart man when you can mock greek philosophers.

[@lvbboi9]

To be fair any dumbass can But Michael's got the knowlegde to back it up.

[@munjee2]

So math is related to science

[@tristanwillstout658]

*illuminati: stop right there*

[@PurlaneMauve]

Math *is* a type of science.

[@TiernanWilkinson]

Math is the universal language of all science.

[@giraysoysal589]

Tristan Willstout that was the first thing i thought when i saw this comment

[@CuriousMindsss]

Gotta love Katy Perry 😂

[@raf221]

D4 D8 D6 D12 D20 But D10 isnt platonic :(

[@MuzikBike]

just use a decagonal hosohedron

[@garrettmckinney7565]

sad right

[@phonglove6767]

@Silent Sheep it is same as a penny

[@evieisleavie]

That's the one that actually got a girlfriend out of all of you

[@prototype_11]

R2 D2

[@mikhailkiselev9869]

He really does gradually become more and more insane with each episode

[@munschirl]

I like how he’s so meta that he knows he’s a meme

[@angelmendez-rivera351]

Michael Munsch Yes

[@Hamuelin]

I live for Vsauce 1 and 3 content (and 2, but that’s more like, chilling on an afternoon content)

[@Quetzalcoatl0]

the only problem is that this is not the vsauce channel, its the dong channel,

[@Hamuelin]

But it’s still Michael. And I was just making a statement because I felt like it...

[@legitname6687]

Ö _ come on vsauce 2 is great too

[@thehh5118]

_Burn..._

[@Vsauce2]

i am your refreshing glass of lemonade. drink me in.

[@jamesvanbergeyk2353]

3:17 is whenever someone says something annoying

[@VyxtheBat]

Pfft. Don' waste my time with that! (Get outta here!)

[@FlyingAce1016]

Dnd dice make up the universe? Thats pretty metal. Hahahaha

[@xeanheart2614]

Eh, I use plastic dice

[@alexwang982]

Haha. Who uses metal dice?

[@RazorM97]

when math meets avatar the last airbender.. "the 5 prime elements n polygons" lol

[@AbaddonDrums]

Michael is a living walking proof that having a good teacher is everything. Good teacher can make learning so much more enjoyable and interesting. The way he talks about it is so passionate and contagious.

[@marcelinebrum]

Also known as RPG dices

[@user-mx5we9ne8k]

D10, D4 even, D20 Are not

[@djc4n]

" thank you for watching" ..... That whole outro was so nice.... very well done I loved the animations with the vibe of the song

[@xexpaguette]

10:40 *Angry Wheelchair-Users Noises*

[@thejonazzzzz]

I don't study science ( I'm a nurse, so I have a little notion of it), and these abstract things would go over my head if some university professor tried to explain me. Michael is an exellent storyteller and is so good at explaining and showing the ideas/theories/mathsjizzle without making it to complicated and without forcing his opinion. Never stop doing what you're doing Michael.

[@anji8743]

Guys can we please stop objectifying Michael he's got human emotions too I think

[@jazzieman9687]

"I think"

[@keegster7167]

I think he's a robot: kzbin.info/www/bejne/m6fIfGqsZ8iLbpI

[@mraccident]

It's only a vicious rumor.

[@NayOnFrames]

8:42 "And the ratios between the radii of these six spheres, matched the distances of those six known planets from the Sun." I am passing out. That's awesome. And even if it isn't the very exact measurements, they are still very similar, and TBH it wasn't mentioned in the video if there was ever a time in our Solar System in which they might have.

[@scoutskylar]

"Each [platonic solid] is made up of congruent, regular, polygon faces and have the same number of faces meeting at each vertex." Okay, but wouldn't that include the regular star polyhedra? Wikipedia's article on regular polyhedron has has the same requirements and includes the regular star polyhedra: "The faces are congruent regular polygons which are assembled in the same way around each vertex." Source: en.wikipedia.org/wiki/Regular_polyhedron#mw-content-text The platonic solids are the *convex* regular polyhedra.

[@Aaron_646]

@@TheTomatoWatcher umm... kzbin.info/www/bejne/lZnNg6mQjtB0naM

[@themobiusfunction]

@@TheTomatoWatcher No, the intersections aren't "verticies" at all!

[@rd_ctrlr5311]

Someday I hope to get a VSauce video covering more than just the platonic solids and going into Dark Geometry. Please. I wanna see Michael marvel over the great stellated dodecahedron or the mutetrahedron or the infinite tilings.

[@samuraijackson241]

Seeing this comment reminded me of a video called,”there are 48 regular polyhedra.” It might not be as entertaining as vsauce, but nonetheless an interesting video. And yes, the video did mentioned the regular ster polyhedra.

[@SatanicJamnic]

Dolan already edit this? xD

[@laveshpaliwal5477]

Hey! would u mind having a look into my channel i would surely appreciate it. ;)

[@brettcasale]

not Doppler I just visited your channel and all I can say is... Reported for terrorism.

[@loopzoop3409]

SatanicJamnic hhh

[@ImaSneke]

no

[@HeadLeg]

Sees a dong notfication. _MOUSE MOVES SO FAST THE LAWS OF PHYSICS PAUSE FOR IT AS A SONIC BOOM OCCURS, CAUSING THE MOUSE TO EXPLODE OFF THE SCREEN_

[@swapado]

My mom and I got the curiosity box for my dad, and he absolutely loved it! My dad and I actually fought over the shirt and we're totally getting another one. The book it came with was so interesting, and I loved the little collectables it came with too!

[@d0gbug]

There are actually 48 regular polytopes in 3D

[@simonli4484]

*MICHAEL’S TOYS*

[@serjherman]

DatCoolMolecule, Tim would be proud.

[@manos6590]

Got a sudden urge to play D&D

[@coastersplus]

Manos Alimpertis If I ever get a time machine I'm making Plato add a d10.

[@govnornine5294]

browsing comments... was not disappointed

[@matthewclark1006]

Dude...your cause and means of making a difference is so amazing. Props bro

[@wkang2758]

6:48 - 6:51, Long ago, the four nations lived together in harmony.

[@angelmendez-rivera351]

Wei Kang Koh But it all changed when the Fire Nation attacked. Only the Avatar, master of all four elements, could stop them. But when the world needed him most, he vanished.

[@VyxtheBat]

@@angelmendez-rivera351 A hundred years passed and my brother and I discovered the new Avatar, an Airbender named Aang, and although his Airbending skills are great, he has a lot to learn before he's ready to save anyone. But I believe Aang can save the world.

[@gamemultiplier1750]

Michael is getting wilder as time goes on, haha.

[@youssefabid1034]

Best ad ever.

[@100billionsubscriberswithn4]

I live for Thicc Micheal.

[@ThatChannelWithANameThatsTooLo]

Broooooooo imagine thinking there are only five regular polyhedra when literally everyone ever knows there are 48

[@aymanislam7995]

we need to petiton micheal to make an updated video

[@DREADN0UGHTT]

1:46 The elements that make up our universe: Fire Air Earth *The Omnipotent Lord Of All Crustaceans* Space

[@Bleepbleepblorbus]

Theres also weightlessnessn't

[@edwardclark6731]

@@Bleepbleepblorbus ya'll forgot deathn'tn'tn'tn'tn'tn't'nt'nt'nt'nt'nt'nt'n't omega x omega plus nine million

[@fazekasroland2968]

He is doing the meme bait on purpose

[@giovannizerbini3119]

Kenway Hunter He's talked a lot about trying comedy and appreciating meme "culture". I think "bait" seems more devious than what Michael's doing, but he is aware of his quirky humor.

[@bengregg8050]

The cube is earth.. Because Minecraft

[@szlanty]

Ben Gregg Earth was the ICOSAHEDRON which represents WATER which earth has.

[@nyer]

ohhhhh noooooooooooooooooooooooooooooooooooooooooo

[@Nimsy0001]

Ben Gregg Earth in Minecraft is not a cube Watch game theory's video

[@2guyzmusic672]

Anonymous person I refuse, Minecraft is cubes

[@nightraven9970]

Cuuuubes

[@jamesgragan8129]

Favorite KZbin channel man. I put it on when I take a shower and it’s pretty relaxing and entertaining.

[@kingcrab5135]

6:32 "ohhh yes"

[@MarcosSilva-kv9ej]

We just watched an 11 minute ad for a shirt right? Edit: So many likes thank you

[@zaneyates5704]

Marcos Silva No. that was part of it.

[@MarcosSilva-kv9ej]

Zane Wallach Are you sure because I think it's an ad for his new shirt

[@iagreebut6813]

Marcos Silva its about math and geometry, this subject plays into the shirt he's selling. The shirt ad was only part of it. I'm sorry youre too empty headed to see the difference just because one flows into another.

[@sereysothe.a]

I agree but, ... he was obviously joking

[@chrisb4003]

I agree but, don't be silly, it's an 11 minute add for a shirt, he's covered it up well with some decent content but the whole thing is ultimately a big add for a shirt

[@talalahmedvlogs5717]

Michael has a crush on Plato.

[@Lellistair]

nah, their relationship is strictly platonic

[@Persun_McPersonson]

(@ Lellistair) 'Eyyyyyyy!*finger guns*

[@Persun_McPersonson]

(@ Sike Bruh) TF are you talking about? I said nothing to do with Fortnight.

[@fightingprawn8918]

I remember playing with kinnex as a kid and being amazed when I made my first dodecahedron. There's something truly special about that shape to the brain

[@MSX98FMDnB]

so basically this video is just one giant merch plug and so far its the best one ive ever seen

[@Taikamuna]

Top 10 anime series

[@mccssecondaccount6901]

Definitely top 1

[@calswartz615]

Top 10 anime plot twists

[@636op]

6:48 Long ago, the four nations lived together in harmony. Then, everything changed when the Fire Nation attacked. Only the Avatar, master of all four elements, could stop them, but when the world needed him most, he vanished. A hundred years passed and my brother and I discovered the new Avatar, an airbender named Aang. And although his airbending skills are great, he has a lot to learn before he's ready to save anyone. But I believe Aang can save the world.

[@ditoo2002]

Bop Heart good luck with Aang, hope he reaches his full potential

[@GC-pz8oz]

My childhood

[@stalememeguy]

this video somehow combined d&d and minecraft with geometry and astronomy and i love it. some of my favourite things in this world.

[@higherquality]

8:52 I'm actually starting to believe that idea

[@randallstephens959]

6:32

[@alexismiller2349]

Randall Stephens ty

[@saurabhchaturvediscientist]

Are you signaling​ Johnny Sins with specs?

[@randallstephens959]

Saurabh Chaturvedi, I bet Michael is!

[@p123j82]

I miss "Hey Vsauce, Michael here"

[@MasterNoxob]

The song at the end is Annie Drury - On Cloud Nine. You can listen to it here: kzbin.info/www/bejne/bXaVn6h_dtejqck

[@gambit5304]

ok

[@Luigicat11]

"But in 3 dimensions there are only 5 regular polytopes." Me, an intellectual who's watched jan Misali's video on the 8 regular polyhedra: Well yes, but actually no.

[@RatQueen03]

You mean the 48 regular polyhedra

[@AtheusMaximus]

get this guy to do Cosmos 3 series. Also hire Arthur Issac the KZbinr as a co-writer

[@nathanielcleary5408]

And that is why d&d is the best.

[@sharkattack153]

Natzvids .!. IT'S GOT ALL OF DEM!

[@Jellybellie]

we out here

[@devinward461]

Shark Attack And the d10 is kinda the -third- sixth wheel

[@shadycactus6146]

obviously, d10s are evil and should be avoided at all costs. i vote we replace them with d12s - those don’t get enough love as is anyway

[@scptime1188]

For all the people saying that there are 48 regular polyhedra, that is very true, but michael was talking about bounded convex shapes (not explicitly stated in the definition of a Platonic solid by Plato but platonic solids are classed as refular regular polyhedra that fall under this category), so no stellated dodecahedrons or euclidean tilings.

[@Fred_Costa]

I was wondering where all my Vsauce videos went, and I only now have realised that the content on this channel feels more like main Vsause than it feels like the old Dongs. Wonderful.

[@thehh5118]

DONG intros never disappoint, so dank.

[@eddietorres1313]

Wait, i thought that by the time Kepler was was inspirational, Copernicus' sun-center theory was already picking up steam.

[@DrScrubbington]

Not exactly. Copernicus had theorized it, but it wasn't until about a hundred years later that people began accepting it scientifically. In fact, the ancient Greek astronomer Aristarchus was the first to theorize it in the 3rd century BC, and Copernicus actually attributed his theory to him. But it went silent for 18 centuries before Copernicus finally revived the theory.

[@CXZERO999]

1:30 But Michael, there are actually 48 regular polyhedra!

[@nicstroud]

I miss the old D.O.N.G. format with all the weird and wacky websites. I still enjoyed this video but it was more LUT than D.O.N.G.

[@melonieashway4189]

Although it's on the channel called DONG, this series is actually Michael's Toys

[@That_Awesome_Guy1]

@@melonieashway4189 What channel is called dong? This channel is d!ng and has always been d!ng.

[@dribkram]

The outro song can be heard here. kzbin.info/www/bejne/iaWqdZqmbrabmJY

[@randomcreator28]

ur a saint

[@xlink010]

Thank you.

[@steensborg]

I love you

[@opurulucas]

THANK YOU for that, you're amazing.

[@TheCrossx6]

bless you kind sir

[@oofityoof3664]

this is turning into a vsauce video trippy

[@shiyalpiyal6729]

Earth made of cubes???? MINECRAFT ! thanks plato

[@mr.mister3960]

Ngl, this video is hard to watch after having seen Jan Misali's video about regular Polyhedra, and hearing Michael say the platonic solids are the only ones

[@rachelmorrow9042]

0:28 he didn't even glance at the box he caught!

[@HobbesHobbiton]

4:32 Oh hey, look! its a D20!

[@supersolomob422]

Dnd fanatics...

[@hakonrasmussen4698]

no its a gyroelongated pentagonal bipyramid

[@RtsShrtFrRtthw]

I love the videos where he just messes around and builds things and puts shape peices together to make new, cooler shapes.

[@micahscott3895]

The Kepler Poinsot polyhedra are regular polytopes made of pentagram because the self intersections aren't vertices the symmetry is preserved

[@biojui1]

Michael i love the funny way you explain science, you were made for this! Keep up the good work

[@CptArmarlio]

So..... sacred geometry.

[@Gia1911Logous]

Tetrahedron - Fire Octahedron - Air Icosahedron - Water Square - Earth Dodecahedron - Д̷̢̛̬̰̘̲̠͉̯̋̈̾͊͒̌̈́́͒͘͘͝͝р̸͍̠̰͉̹̯̦͉̹͔̬̲̫̹̀̆̅̌̕̚̕͝у̷̰͙̙͋̈́͋͋̎͂̓͋̓͠г̵̨̥̤̱̼͔̭̗͔̺̓̆̒̏͂͒́̊̆̏̚͠

[@sbsnate2312]

This is addictive. Cant stop watching your videos!

[@pranavlimaye]

PETITION TO BRING BACK VSAUCE Dang, I still have soooooo many UNANSWERED questions! THERE'S SOOOOOO MANY VSAUCE TOPICS OUT THERE!

[@w5527]

0:10 New meme template incoming!

[@daniberkvens8167]

I literally watched this video 10x or even more but still enjoy the hell out of it you''re awsome Michael!

[@TiernanWilkinson]

3:20 you can tell how much Michael looooooves Platonic solids.

[@julianobitsgen]

Not just Plato, but Pythagoras would be proud of this video too. Nicely done, Michael!

[@harrybarber3255]

I’m calling it, there are two more Platonic solids. They’ll match up with Uranus and Neptune

[@RajeshKumar-ml1ho]

6:31 OH YESSSSSS

[@TheTURKISHDELIGHT98]

When I watch Micheal I forget all the pain and sadness, he makes me smile

[@jjodecii]

Michael... You're becoming the meme

[@maciejknap6284]

Jodeci Cowell You're pretty slow.

[@jjodecii]

I'm worried for Dolan, Capitan Kaktus

[@JovemEverton]

What a fantastic video. Keppler's Cosmographicum blew my mind.

[@aer0a]

1:32 There are only 5 regular convex polyhedra. There also concave polyhedra (kepler-poinsot solids) and polyhedra with coplanar faces (tilings)

[@aer0a]

Johannes kepler discovered two of the kepler-poinsot polyhedra. The other two were discovered by louis poinsot

[@smoceany9478]

kepler poinsot solids arent concave theyre just overlapping

[@akashsehrawat2291]

Hey Michael , vsauce here

[@luccabritto2566]

_p l a t o n i c_

[@hedgeearthridge6807]

WOW! It is crazy just how close the Mysterium Cosmographicum is to real life!

[@kaydenk4111]

this video was really just a curiousity box ad and you can't convince me otherwise

[@josephvanacore3625]

Michael, I love you more than platonically

[@andymcl92]

Joseph Vanacore Euclidially?

[@whalenuranus7187]

Ehhhuuhhh.... You wanna slip him your throbbing plutonic solid...uuuhhh