The Pizza Theorem

  • Published on Jun 6, 2018
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    *** LINKS ***
    The Pizza Theorem
    Mathematics Magazine, Volume 41, 1968: "Problem 660" by L.J. Upton, Solution by Michael Goldberg:
    Mathematics Magazine, Volume 67, 1994. "Proof without Words: Fair Allocation of a Pizza" by Larry Carter and Stan Wagon:
    Dividing Thin Crust, Calzones, and Stuffed Crust Pizzas:
    Exotic Mathematical Pizza Slicing:
    Infinite Families Of Monohedral Disk Tilings:
    Pizza Theorem Proof Without Words Calculator by Christian Lawson-Perfect:
    Vsauce Links
    Hosted, Produced, And Edited by Kevin Lieber
    Research And Writing by Matthew Tabor
    VFX By Eric Langlay
    Huge Thanks Paula Lieber
    Select Music By Jake Chudnow:
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Comments • 3 801

  • Vsauce2
    Vsauce2  Year ago +5063

    The book is perfectly fine. No damage whatsoever. Although it tastes delicious now...

  • H Kay
    H Kay 6 hours ago

    The pizza is gonna get cold

    MEGA PEKKA 11 hours ago

    *just take a bigger pizza*

  • C & C Miller
    C & C Miller 3 days ago

    Why is everyone being dumb over the book? There is nothing wrong! fine!

  • C & C Miller
    C & C Miller 3 days ago

    If one of them isn't as hungry,
    Look at the bottom "what's wrong with that person?"

  • The King Of Comments


  • Egg with 10,000 subscribers

    Looks like Chuck E Cheese pizza

  • kirk corpin
    kirk corpin 8 days ago


  • Jon Ismajli
    Jon Ismajli 8 days ago

    I feel bad for people with ocd

  • Svemir 101
    Svemir 101 8 days ago

    Just give your friend his part

  • fox the destroyer
    fox the destroyer 8 days ago

    1:02 lmao

  • GooseIsDumb6
    GooseIsDumb6 9 days ago

    Vsauce: PiZzA cAn Be CuT iNfInItE

  • Twiztxd xD
    Twiztxd xD 9 days ago

    So much math for a pizza when you can cut it normally.

  • Adrien
    Adrien 9 days ago

    I died a bit inside when you put that book on the pizza.

  • Supreme Mach 5
    Supreme Mach 5 10 days ago

    So what happened to the crust on H??

  • Sean Kelly
    Sean Kelly 11 days ago

    Has anyone notice that the pizza slicer is the uss enterprise
    You know the one from the 60's star trek

  • Robinson (Robi) Iliev
    Robinson (Robi) Iliev 11 days ago

    The real question is if the pizza is ok

  • jakob gaming2019
    jakob gaming2019 13 days ago

    Awesome! Even now cannot realize I just made $1585 with this incredible web-site here

  • Ethan
    Ethan 13 days ago

    Did this man just solved world hunger?

  • Avanell Aue
    Avanell Aue 13 days ago

    I'm watching this at 1 in the morning and now I want pizza

  • Vardhika Jain
    Vardhika Jain 14 days ago

    Please it that pizza and don't dare to waste it๐Ÿ˜จ๐Ÿ˜จ

  • Ayden Ponce
    Ayden Ponce 16 days ago

    Why isnโ€™t anyone saying that he got a cheese pizza?

  • Nuada the silver hand
    Nuada the silver hand 16 days ago

    When he put the book on the pizza, a slice of me died inside.

  • dizzywinds
    dizzywinds 18 days ago

    Looks like this pizza needs some vsauce :)))))

  • Ricky Green
    Ricky Green 19 days ago

    Just cut it normally

  • ViruZ Angel
    ViruZ Angel 21 day ago +19

    Hey i want a pizza
    *Pizza Store* What pizza do you want?
    Me:Monohedral Disk Tiles!!!!
    *Pizza Store left the chat*

    • No Name
      No Name 8 days ago

      *Pizza Store* WTF DOES THAT MEAN BOI

  • jordan
    jordan 21 day ago

    You must be fun at pizza parties

  • Vaxvi
    Vaxvi 22 days ago


  • Emils Olesens
    Emils Olesens 22 days ago

    This gave me OCD

  • aqua phoenix10432
    aqua phoenix10432 22 days ago

    If anybody ever actually cut a pizza like this i would slap them because it's just wrong.

  • Quinten
    Quinten 22 days ago

    now im hungry, thanks vsauce

  • Stalinโ€™s potato
    Stalinโ€™s potato 23 days ago

    You COULD slice the pizza in weird shapes...

    Or you could just get more pizza ๐Ÿ˜ฑ

  • Dan Severa
    Dan Severa 23 days ago +1

    1980: i bet we will have flying cars in future!
    2018: how to cut pizza smartly

  • cottonplant
    cottonplant 24 days ago

    4:06 just slice off the pizza

  • Jacob Moore
    Jacob Moore 24 days ago

    why cant you just buy more pizzas

  • OptimusPhillip
    OptimusPhillip 26 days ago

    Now I'm wishing I hadn't left last nights pizza out on the counter, because I'm craving so bad

  • Joshua Martin
    Joshua Martin 27 days ago

    Mind = Pizza

  • Julie Albright
    Julie Albright 28 days ago


  • Smart economics
    Smart economics 29 days ago

    Wait when you first labeled the pizza it spells fed

  • Zorux
    Zorux Month ago

    This is cursed


    Vsauce2: Lets add some green and yellow peppers.
    Me: I hate peppers

  • Xiomara Montes-Diaz

    Captions: โ€œThe pizza is three days old.โ€
    Me: ............................. _........._ *_..............._*
    Me: Iโ€™m out

  • Da Cuber
    Da Cuber Month ago

    2:31 cover the zza in pizza and look itโ€™s Pi and a pizza is the diameter of Pi

  • Golden Pear
    Golden Pear Month ago +1

    if you look very closely here 1:00 (actually happens at 1:02 but I gave you extra time) it says what is wrong with this person

    I spent like 3 mins going frame by frame to find this your welcome

  • Quinn 78
    Quinn 78 Month ago

    I think I'm hungry...

  • Muhrks
    Muhrks Month ago

    Those D's are never ever the same size as the A's or H's...

  • Lava ThatPickle
    Lava ThatPickle Month ago +1

    1:02 pause and look

  • Julie Lee
    Julie Lee Month ago

    Ok hereโ€™s your slice ๐Ÿ•
    And hereโ€™s mine ๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ•๐Ÿ• look how even that is

  • cringe storm O.o
    cringe storm O.o Month ago

    lemme get some *b o n e l e s s p i z z a*

  • Skypandakicks
    Skypandakicks Month ago

    The way you cut that pizza angered me internally.

  • Nice one boi
    Nice one boi Month ago

    this gives me nightmares until now

  • Jaime Navarro
    Jaime Navarro Month ago

    You would've thought he would put the book on the table
    But it was me, DIO!

  • dreadlordhg
    dreadlordhg Month ago

    if you eat the pizza with the book on it you absorb its knowledge

  • Glacies.Yin
    Glacies.Yin Month ago


  • Germany
    Germany Month ago +1

    Oh for God's sake, lets just eat the pizza

  • Z0MBiE YT
    Z0MBiE YT Month ago +1

    1:46 thatโ€™s how I cut my pizza everytime...

  • Useless Information
    Useless Information Month ago +1

    why dont you work at a pizza place?

  • llessurfish
    llessurfish Month ago

    1:02 The pizza could be split between me and two others and they could each have four slices, yet you're criticizing a person who would eat two slices...
    Also, why do people even like pizza?!?!

    • llessurfish
      llessurfish 21 day ago

      @sophiepie yes

    • sophiepie
      sophiepie 21 day ago

      llessurfish are you saying you donโ€™t like pizza?

  • PaintFromYT Gaming
    PaintFromYT Gaming Month ago

    i dont know why but i think he looks like MrBeast

  • Fisher Dittburner
    Fisher Dittburner Month ago

    Cutting pizza really is an art-form!

  • Ace & Maverick
    Ace & Maverick Month ago

    I stopped watching the moment he set the book down ON the pizza. Wtf is wrong with you.

  • Julian Lonowski
    Julian Lonowski Month ago

    Looks tasty

  • Zach Ling
    Zach Ling Month ago

    1:02 *whats wrong with that person* lol

  • Kamex XD
    Kamex XD Month ago

    Jeez dude, fine you can have more than half.

  • gaster two soul
    gaster two soul Month ago

    This is too complicated just to cut a pizza...and that's a Italian telling you this....aye yai yai.

  • Miss Mistique
    Miss Mistique Month ago +2

    **puts book on pizza**
    Me: well... now you have a greasy book and a booky pizza. Good job

  • takuro 85
    takuro 85 Month ago +1

    My pizza is a square

  • Bailey Smith
    Bailey Smith Month ago

    i know right. what is wrong with someone who does not want more pizza

  • giorgos andreatos
    giorgos andreatos Month ago +1

    But pizza is not a perfect circle

  • potsy9
    potsy9 Month ago

    0:23 "ill call it... the smash pizza!"

  • Caleborg
    Caleborg Month ago

    i like the startrek pizza cutter

  • Spice Cat
    Spice Cat Month ago

    My favourite type of pizza is book flavour
    But more specifically
    Twilight #1 flavour

  • christian Saldaรฑa

    Pizza is so popular,it made it's own theorem.

  • Isaac Canterbury
    Isaac Canterbury Month ago

    The pizza cutter looks like the star trek ship

  • Amy Collins
    Amy Collins Month ago

    Why did you put the book on the pizza lol

  • Des Bro
    Des Bro Month ago +1

    Also, book on a pizza could now be a meme seeing as how, myself included, almost had a stroke over the book pizza.

  • Notorious Kewb
    Notorious Kewb Month ago

    now for the doner kebap theorem

  • DanisBX Beลกireviฤ‡

    1:02 bottom right corner

  • Michael Carter
    Michael Carter Month ago

    I let him protract me any day.

  • Trench777
    Trench777 Month ago

    *eye twitch*...please...don't put the book on the pizza again...*eye twitch*

  • Venom
    Venom Month ago

    If I were you I would eat the pizza before hitting record

  • angelorf
    angelorf Month ago

    This video is super unclear. Check out the video from TIpping Point Math to get an actual explanation of the theorem. It certainly doesn't help that your 'our proof' pizza is a different pizza than your 'our pizza' and that the labels have all changed. You can try to distract us all you want with the book on the pizza, but we're not learning anything from this video!

  • Baby
    Baby Month ago

    0:33 how chuckee cheese cuts their pizza

  • Cassidy
    Cassidy Month ago

    RIP, book.

  • somaru shinde
    somaru shinde Month ago

    I don't like pizza enway

  • Dylan Dreisbach
    Dylan Dreisbach Month ago

    I know itโ€™s been said already. But that book. Didnโ€™t know that could annoy me so much.

  • I
    I Month ago

    Whatโ€™s wrong with the animator?

  • LightYagamiโ€™s FirstEye

    Or just cut it in half.

  • Ilusionis
    Ilusionis Month ago

    I don't know how to cut pizza.

  • Im Socool
    Im Socool Month ago

    Can someone give me the link for the interactive pizza divider

  • Joshau Leonard
    Joshau Leonard Month ago

    Now the pizza tastes like bookeroni

  • Icey Playz
    Icey Playz 2 months ago

    My ocd at the beginning


  • Joey Abbadessa
    Joey Abbadessa 2 months ago

    OR you could cut the pizza in half...

  • Mazel MSP
    Mazel MSP 2 months ago

    Or just cut it normally

  • Jimmy Ettleman
    Jimmy Ettleman 2 months ago +1

    Putting the book on the pizza made me really uncomfortable

  • HardRockRock12345
    HardRockRock12345 2 months ago +1

    Feeding 31 people with only 1 pizza is the real problem, not cutting the pizza to equal pieces

  • Petrxs
    Petrxs 2 months ago

    2:00 Did you just put a book on the pizza?

  • ChickenManiac
    ChickenManiac 2 months ago +1

    I'm making a pizza after this