How does Dobble (Spot It) work?

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Check out www.kiwico.com/standupmaths and get 50% off your first month of any subscription!

Subscribe to Steve Mould’s channel. I sent him the next video challenge along with the Monomatch cards. ukwill.info

Support me on Patreon and get sent three "Monomatch Myriad" cards to check.
www.patreon.com/posts/50645477/

Here is the bonus 'behind the cards' video on how I made Monomatch Myriad.
ukwill.info/window/w5-cmGimabhn26Y/video

It occurs to me it would be foolish to not provide Amazon referral links but don’t forget about your local independent toy retailers!
USA SPOT IT: www.amazon.com/s?k=spot+it\u0026re...
UK DOBBLE: www.amazon.co.uk/s?k=dobble\u0026r...

This is the student video I mentioned:
"How to make the card game Dobble (and the Maths behind it!)"
www.youtube.com/watch?v=oyqD1...

Double Dobble
aperiodical.com/2020/05/the-b...

Droste Dobble
christianp.github.io/droste-do...
mathsjam.com/assets/talks/201...

"A finite projective plane exists when the order n is a power of a prime."
mathworld.wolfram.com/Project...

Finite projective plane of order 4 image from here:
demonstrations.wolfram.com/Pr...

Catch the match!
boardgamegeek.com/boardgame/1...

The American Mathematical Monthly
Vol. 13, No. 11, Nov., 1906 www.jstor.org/stable/i349244
Vol. 14, No. 5, May, 1907 www.jstor.org/stable/i349250

CORRECTIONS
- At 06:35 Dimitri Provoost spotted that some of the star and cross symbols on the diagonal red lines are accidentally swapped around. Good spot Dimitri!
- I think once or twice I say "card" when I mean "symbol". I blame too much time spent with projective planes.
- Let me know if you spot any other mistakes!

Thanks to my Patreon supporters who keep me well-stocked with children's card games. And now 101 pentagons all featuring a happy little house.

www.patreon.com/standupmaths

Filming and grading by Alex Genn-Bash
Editing by Matt Parker
Graphics by Sam Hartburn and Matt Parker
Music by Howard Carter
Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
US book: www.penguinrandomhouse.com/bo...
UK book: mathsgear.co.uk/collections/b...

Comments

  1. Stand-up Maths
    Stand-up Maths
    Month ago

    To clarify: all patreon supporters will be emailed 3 Monomatch Myriad cards that no else will get. Solely so they can check them. Report findings here: www.patreon.com/posts/50645477 And thanks again to KiwiCo for making great crates and sponsoring this video: www.kiwico.com/standupmaths

    1. Josh Gaming
      Josh Gaming
      19 days ago

      If you include the extra one card u need 6x5 not 5x5. 5x6 and 4 blanks is a 12.9% waste on press.

    2. Josh Gaming
      Josh Gaming
      19 days ago

      A full deck would be 9x7 but you have 6 blanks in last column. This is a massive amount of waste for a printing press. If you Remove two of them, you can the use the blank space to make the instructions, and waste as little as possible. 😀

    3. Guy S
      Guy S
      27 days ago

      @Askar Kalykov Watch it again

    4. Tobias Wilhelmi
      Tobias Wilhelmi
      Month ago

      The missing cards are a result of limitations in the printing process. There is Math tuber called DorFuchs who contacted the publisher for this question. He also came up with your results.

    5. Tristan Wegner
      Tristan Wegner
      Month ago

      @tribalguy2 yes, near top of left card, center right of right card

  2. MrVipitis
    MrVipitis
    2 days ago

    Your myriad: how to pick the correct set of 101 cards where no pairs are shared? Meaning every symbol only ever shows up twice? It's almost the thing you did. But you would have to simply make a dummy symbols that isn't shown.

  3. MrVipitis
    MrVipitis
    2 days ago

    1 uvor dobbel : spot the missing symbols in the pair. Lots of symbols, few cards.

  4. MrVipitis
    MrVipitis
    2 days ago

    Dobbel infinity: you have unlimited number of symbols and cards. But a limited number of symbols per card. Playable with your own photographs, like funny faces of friends.

  5. MrVipitis
    MrVipitis
    2 days ago

    You can lose a card without issues, but you can't add one easily.

  6. Marvin Montais
    Marvin Montais
    2 days ago

    Humble pi 2 lol

  7. IllidanS4
    IllidanS4
    3 days ago

    I remember that when learning about projective geometry, the lecturer actually brought this game to the lesson, I think.

  8. David Forck
    David Forck
    4 days ago

    another parker square!

  9. JOWOFOTO
    JOWOFOTO
    5 days ago

    You should do an "every day maths use/hacks" for the mathy and nonmathy types 👌

  10. barboz
    barboz
    5 days ago

    22:24 also spotted an arrow in a circle: a little down to the right from the tip of the left card and a bit to the right of the middle of the right card. Does that count? They seem almost identical except one seems to be a darker color

  11. Madhavi Bethur
    Madhavi Bethur
    5 days ago

    thanks sir for sharing your knowledge.it was very helpful for us.nicely explained.

  12. Jace King
    Jace King
    6 days ago

    Parker's pentagonal pages of proprietary poly-symbols.

  13. ilRosewood
    ilRosewood
    7 days ago

    It is so VERY on brand

  14. Tomas Rydholm
    Tomas Rydholm
    7 days ago

    Follow-up question: Is there a neat way to arrange the symbols such that you can't come up with a strategy to find the match?

  15. joe4490
    joe4490
    8 days ago

    I'm thrilled that you got rid of the backing music. I also loved the video as always.

  16. jucom
    jucom
    8 days ago

    Could you define "maximum fun to play" as every symbol needs a matching symbol on at least 1 other card? Then the rules are: Minimum symbols, Every symbol has at least 1 match Every card has exactly 1 match with any other card.

  17. Yulia Linderoth
    Yulia Linderoth
    9 days ago

    So let's say I'd like a Monomatch game with all the Pokémon as individual symbols, (898) was there a formula for how many cards that would turn out to be in the video?

  18. Isaac T
    Isaac T
    10 days ago

    ~THE HISTORY OF THE PARKER POLYTOPES~ EVERY NEW PARKER POLYTOPE IS THREE YEARS APART 2011 - THE PARKER TRIANGLE 2014 - THE PARKER SQUARE 2017 - THE PARKER CIRCLE 2020 - THE PARKER PENTAGON 2023 - THE CGP PARKER BESTAGON 2026 - THE PARKER TETRAHEDRON 2029 - THE PARKER CUBE 2032 - THE PARKER WORSTAGON 2035 - THE PARKER STOP SIGN 2038 - THE PARKER 4-TETRAHEDRON 2041 - THE PARKER OCTAHEDRON 2044 - THE PARKER TESSERACT 2047 - THE PARKER PENTAGRAM 2050 - THE PARKER DODECAHEDRON 2053 - THE PARKER NONAGON 2056 - THE PARKER SPHERE 2059 - THE PARKER ICOSAHEDRON 2062 - THE PARKER 1152 2065 - THE PARKER 4-OCTAHEDRON 2068 - THE PARKER 3-PENTAGRAMS 2071 - THE PARKER 4-DODECAHEDRON 2074 - THE PARKER DECAGON 2077 - THE PARKER HENDECAGON 2080 - THE PARKER 4-ICOSAHERON 2083 - THE PARKER DODECAGON 2086 - THE PARKER LASTATOPE (THE FINAL PARKER POLYTOPE) 2089 - PARKER DIES WITH THE REST OF NUMBERPHILE

  19. ketchup143
    ketchup143
    11 days ago

    omg, i worked for a university that had a before- and after-school program for elementary aged kids in each school around my city. the kids absolutely loved this game and it was being played constantly. it's such a genius game and i remember openly pondering to the kids i was playing with about how the math worked to create it.

  20. Wesley Acheson
    Wesley Acheson
    12 days ago

    parker square

  21. みどり
    みどり
    12 days ago

    Uh... What happens at 7:53? And how? And why?

  22. rasm523
    rasm523
    12 days ago

    Is Martin Harris asking for Trobble? Or is it Quadrobble?

  23. Tomi bgt Suovuo
    Tomi bgt Suovuo
    13 days ago

    How would you extrapolate this to a version, where you pick three cards, each of which has one symbol the same?

  24. Tomi bgt Suovuo
    Tomi bgt Suovuo
    13 days ago

    It's all fun and games, until someone publishes it as a paper.

  25. Fred Ranzalot
    Fred Ranzalot
    13 days ago

    Wait, you're getting close to a million subs? It seems like a month ago you were in low five digits.

  26. Dave460
    Dave460
    14 days ago

    18:10 reflection :)

  27. sam p-w
    sam p-w
    15 days ago

    I watched this a while back, wanted to generate my own dobble (for reasons which I won't go in to). I recall Matt saying cyclic difference sets are hard to generate, so I decided I would try to write some code for it. It's a simple recursive backtracking algorithm, not much fanciness. Wrote it in python and here it is: def check(nums, target): differences = 0 ind_diffs = set() mod = target * target - target + 1 for n1 in nums: for n2 in nums: diff = n1 - n2 diff = (diff + mod) % mod if diff: differences += 1 ind_diffs.add(diff) return len(ind_diffs) == differences def generate(target, current=None): current = current or [0] mod = target * target - target + 1 options = range(current[-1] + 1, mod) if check(current, target): if len(current) == target: return current for option in options: res = generate(target, current + [option]) if res: return res print(generate(8)) The code is surprisingly fast for small sizes of difference sets, but, I tried generating the length-102 set that you would need to generate Monomatch: Myriad, and it still hasn't finished running (over an hour). This makes sense, as recursive backtracking scales quite poorly (I think O(n!)), so I'm not surprised. In any case, I just wanted to share my findings. Cheers!

  28. bsharpmajorscale
    bsharpmajorscale
    15 days ago

    "genius or lazy?" ¿Que no los dos? Oh, for the printed cards, does that mean the Happy House is the ONLY matching symbol, or that it's in addition to the assorted other matches?

  29. Approaching Calamity
    Approaching Calamity
    15 days ago

    The Parker Square of Monomatch

  30. Junkane
    Junkane
    16 days ago

    I couldn't understand a thing but I still watched all 28 minutes of it

  31. Captain Stroon
    Captain Stroon
    16 days ago

    You just earned a sub by printing out 10302 unique symbols and 101 happy little houses.

  32. Drecon84
    Drecon84
    16 days ago

    "I don't know if that's genius or lazy" Is there a difference?

  33. Atlasbr001
    Atlasbr001
    18 days ago

    #RELEASE THE 57 DOBBLE CUT!

  34. Mark Williamson
    Mark Williamson
    19 days ago

    So when you reach 1M subs you will be completely bald? Every time I see you you have less hair

  35. a sheep
    a sheep
    20 days ago

    Parkermatch Myriad!

  36. Aldude
    Aldude
    21 day ago

    Made a real Parker Square out of Monomatch Myriad, didn't you? Good effort, Matt!

  37. Smote Reverser
    Smote Reverser
    21 day ago

    Not a chance of spotting that.

  38. yokai watcher
    yokai watcher
    21 day ago

    This is the best game to ever come in a Chick-fil-A kids meal, which is where we first found out about spot it, as we call it across the pond

  39. ComatoseChimera
    ComatoseChimera
    23 days ago

    parker square myriad edition

  40. Tanner C
    Tanner C
    23 days ago

    Subscribed. Good luck with the million!

  41. Juan Andrés
    Juan Andrés
    23 days ago

    In the monomatch myriad segment I also spotted the arrow in a circle symbol in both pentagon cards, have I hallucinated?

  42. David Majak
    David Majak
    24 days ago

    You should turn this into a mobile game.

  43. Derek
    Derek
    24 days ago

    I haven’t enjoyed watching a UKwill this much in awhile 👏

  44. Matt23488
    Matt23488
    25 days ago

    For Matt Parker, n now equals 5! The Parker Pentagon(s)!

  45. GDream ASMR
    GDream ASMR
    25 days ago

    CATCH THE MATCH!!! YESSS!!! REPRESENT!!!

  46. Filippo Vicari
    Filippo Vicari
    25 days ago

    I love the new style of video as much as I have loved humble pi, keep up with this great work!

  47. Jared Betts
    Jared Betts
    25 days ago

    Mistakes are part of the game. Owning your mistakes is the way we get better! Great video!

  48. Lotharyx
    Lotharyx
    26 days ago

    Maybe their die-cut press presses out 5 disks across the material. Then both versions having a multiple of 5 (55 and 30) makes plenty of sense.

  49. Mikeyguy94
    Mikeyguy94
    26 days ago

    why so much wasteful packaging?? they could literally sell that game in just the tin, but they have to go overboard & put that tin in some plastic & put it in a box. so stupid

    1. IShoot TheyScore
      IShoot TheyScore
      25 days ago

      And then they wrap the cards inside in further plastic... I think you can justify the cardboard a bit, just to protect the tin from getting dinged up in transport, but to then put the plastic on is overkill

  50. Daniel Holding
    Daniel Holding
    26 days ago

    We have catch the match, great game to play with kids!

  51. Average Joe
    Average Joe
    27 days ago

    4:36 Anyone notice the Fano Plane? *Edit:* I resumed the video after making this comment only for Matt to immediately announce the Fano Plane...

  52. Anne Kay
    Anne Kay
    27 days ago

    I paused at 22:26 and noticed a symbol the same on both cards other than the "Happy Little House". I saw that there was a symbol of an "arrow inside a circle" on both cards. The issue is that on the card on the left it is a pale blue color near the top of the card where as on the card on the right it is located a couple inches in from Matt's fingers as is what I see as a dark green color. Being as this was supposed to be a version of Dobble not Spot It, I feel variations in color are acceptable in making a match which would make 2 matches on this pair of cards.

  53. Priyanshi Sethiya
    Priyanshi Sethiya
    27 days ago

    Maybe the makers had ocd; they prefer multiples of 5 for the no. of cards

  54. Nathan Derhake
    Nathan Derhake
    28 days ago

    Just print the other 10203

  55. A J
    A J
    28 days ago

    Great video! As an engineering student, however, my inner manufacturer is pained by the fact that you chose to make your myriad out of pentagons rather than hexagons... hopefully there was some printing size limit that made the difference in wastage between the two shapes negligible?

  56. Lauri Hei
    Lauri Hei
    28 days ago

    If Lost was smart, they would've used 0, 1, 3, 13, 32, 36, 43 and 52 as The Numbers.

  57. Killalink2552
    Killalink2552
    28 days ago

    spot the happy little house is the new parker square

  58. bg6b7bft
    bg6b7bft
    Month ago

    I wonder if that would make a good "bar coaster" game.

  59. Damhan Squire
    Damhan Squire
    Month ago

    I love your ability to take giant mistakes, make them hilarious jokes, and then build a message that it's OK to be imperfect. Come for the laughs, stay for the life-changing attitude shift. And more laughs.

  60. Samuel Mendlowitz
    Samuel Mendlowitz
    Month ago

    The reason all the cards aren’t there is so that there is a more rounded off number of cards for other variants of the game.

  61. JB Parkes
    JB Parkes
    Month ago

    It is notable that 31 is prime, while 57 is only divisible into 3x19, and my suspicion is that in manufacture, they prefer being able to print in a wider grid, 5x11.

  62. TheSpacecraftX
    TheSpacecraftX
    Month ago

    Say what you see? Someone been watching Catch Phrase lately?

  63. Elie Cueto
    Elie Cueto
    Month ago

    Monomatch Parker square

  64. I_am_me
    I_am_me
    Month ago

    This was an amazing video ! Great cinematography, really fun and the math is incredible !

  65. shadowofthecandle
    shadowofthecandle
    Month ago

    Can you do the math of the card game Set?

  66. Eli Boyarski
    Eli Boyarski
    Month ago

    In 2015, I helped design a similar card game with 73 symbols, 9 on each card, and 73 cards. So, an order of 8=2^3. I used Sage to generate the solution. I never quite understood the math, so I appreciate this video!

  67. dsBlocks
    dsBlocks
    Month ago

    you: double dobble me, an intellectual: quadrobble

  68. Rafael Pernil
    Rafael Pernil
    Month ago

    I found the happy little house but it took me a few minutes. That version is insane

  69. Hakuun Yasutani
    Hakuun Yasutani
    Month ago

    25:25 you create a new mathematical tool: the crowdproof

  70. Valdemar
    Valdemar
    Month ago

    The name of the pentagon game, made me think of a video with Tom Scott, where he talks about the origins of the words for numbers, and told that a myriad literally means 10.000, so yeah. Just thought it was a neat detail.

  71. Vanessa McCann
    Vanessa McCann
    Month ago

    This is my favorite video you’ve ever made!!!! The humor, the math...I loved it. Better than the toilet one and the slo-no brick one which is saying a lot

  72. Úna Parkinson
    Úna Parkinson
    Month ago

    "friends who have procreated" is a funny phrase to me for some reason

  73. Cj Slime
    Cj Slime
    Month ago

    You should of just used a random number generator to pick them

  74. Cj Slime
    Cj Slime
    Month ago

    Also technically dominos is mono match

  75. ✨💜 Ekiri Dream 💜✨
    ✨💜 Ekiri Dream 💜✨
    Month ago

    I spotted the happy little house :3 took me many minutes of scanning but i spotted it

  76. BooBaddyBig
    BooBaddyBig
    Month ago

    Well, you certainly Parker Pentagoned that lot!

  77. Chris Wesseling
    Chris Wesseling
    Month ago

    Who lives in the happy little house? Wally? Waldo?

  78. fuck tube
    fuck tube
    Month ago

    9:58

  79. épinards & caramel
    épinards & caramel
    Month ago

    I’d missed Steve’s cameo when I first watched this 😁

  80. Callum
    Callum
    Month ago

    "a game for negative 6 players" The game demands a blood sacrifice

  81. Kol24
    Kol24
    Month ago

    Too bad they have 5 edges, otherwise these could have been yet another iteration of a Parker Square

  82. Elias
    Elias
    Month ago

    I love combinatorics. Don't quite understand some of it, though. xddddddd

  83. Omaha Guy
    Omaha Guy
    Month ago

    I didn't find this video until May 16. (sigh)

  84. Anastasia Klyuch
    Anastasia Klyuch
    Month ago

    Oooh! Now I want a version with symbols per card (133 total cards and symbols), but I'm struggling at juggling the images... there are too many. Is there an easier way (a program or a file) for that? I need the 12 symbol version as a game, coz the 8-symbol is too fast and players keep bumping into each other due to finding matches simultaneously...

  85. DethstruXioN ™
    DethstruXioN ™
    Month ago

    22:22 I also see the arrow with a circle around it on both cards, although they have a different color, but, i thought that was the point of this version of the game. Although i do also see the happy little house, but i'm not entirely sure if they have the same color as well, one looks a bit lighter, but that might just be the angle.

  86. F L U X
    F L U X
    Month ago

    6:53 Imagine a mechanical lock needing that many pins to align to unlock.

  87. F L U X
    F L U X
    Month ago

    7:30 It's like light going through a prism and showing the rainbow.

  88. F L U X
    F L U X
    Month ago

    0:04 It also says that the hour-glass is 15 feet tall.

  89. Christopher Hinds
    Christopher Hinds
    Month ago

    The end was the best part! What a mess you have made sir!

  90. Donald P Paul
    Donald P Paul
    Month ago

    It's all about beating his friend

  91. Donald P Paul
    Donald P Paul
    Month ago

    IAM not here because I loves your explanation in you have been warned but I randomly found you

  92. Mister Karp
    Mister Karp
    Month ago

    How do you even go about shuffling these 10k+ cards?

  93. GamerGod
    GamerGod
    Month ago

    the reason Dobble is missing those two cards is to throw off the leads of those who try to figure out its secrets

  94. GregroxMun
    GregroxMun
    Month ago

    THE PARKER MYRIAD

  95. Wolflordy
    Wolflordy
    Month ago

    22:23 the fact that you used multiple symbols that represent the same thing is downright evil

  96. Chen Songyi
    Chen Songyi
    Month ago

    So "execute order 66" is just a very long project of making Dobble cards?

  97. Guy Guy
    Guy Guy
    Month ago

    A very fun video, plus its nice to see you admit the huge gaff with the smiley house. I was going to put my hand up for some but I only saw this vid today, waaay too late.

  98. Katelyn hussenp
    Katelyn hussenp
    Month ago

    The sick brake fifthly guarantee because acknowledgment luckily compete over a icky plasterboard. odd, breakable hat

  99. Robert Lane
    Robert Lane
    Month ago

    I assume the reason they miss out some of the cards is to they can identify when a clone 'rip off' version of the game has just taken their game and changed the symbols, similar to a Trap Street on a map.

  100. Mr Slime
    Mr Slime
    Month ago

    can we get a "the number that matt just made up" player game?