Stacked Dice Trick - Numberphile
Ғылым және технология
A third dice trick with Ben Sparks - see the trilogy of tricks at: bit.ly/Dice_Trilogy
More links & stuff in full description below ↓↓↓
Ben Sparks: www.bensparks.co.uk
And his KZread: / sparksmaths
More Ben Sparks on Numberphile: bit.ly/Sparks_Playlist
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. www.simonsfoundation.org/outr...
And support from Math For America - www.mathforamerica.org/
NUMBERPHILE
Website: www.numberphile.com/
Numberphile on Facebook: / numberphile
Numberphile tweets: / numberphile
Subscribe: bit.ly/Numberphile_Sub
Videos by Brady Haran
Animation by Pete McPartlan
Patreon: / numberphile
Numberphile T-Shirts and Merch: teespring.com/stores/numberphile
Brady's videos subreddit: / bradyharan
Brady's latest videos across all channels: www.bradyharanblog.com/
Sign up for (occasional) emails: eepurl.com/YdjL9
Пікірлер: 233
16+2 is 18. "17!" His confidence is what makes it for me.
@amative1
2 жыл бұрын
Parker Arithmetic
@felipevasconcelos6736
2 жыл бұрын
Reminds me of the song “Dezessete e Setecentos”, where the speaker insists 20 000-3 300 = 17 700, and brags about his superior education when questioned.
@thesuomi8550
2 жыл бұрын
r/unexpectedfactioral
@davidiverson5928
2 жыл бұрын
For sufficiently small values of 16 and 2... Round(15.7) + Round(1.7) = Round(17.4)
@albertmaheswara9968
2 жыл бұрын
That's like asking "What's 9+10 ?"
After having to apologize for the 3d time for having turned to soon, it becomes somewhat suspicious.
@MrCheeze
2 жыл бұрын
For a magician, it's important to always have a backup trick on hand... people will ask you to see something again, and instead of brushing them off you move on to the next trick.
@ShirHac
2 жыл бұрын
Never do the same trick twice.
@Tombsar
2 жыл бұрын
Once is a trick, twice is a tutorial.
Killer closing line from Ben!!: "Is that so unusual?"
@Triantalex
5 ай бұрын
false.
The animations have really come a long way.
@hemanthsai4584
2 жыл бұрын
that's blender
@iseriver3982
2 жыл бұрын
You're telling me, I thought they were real dice until they literally flew off the table.
@zlosliwa_menda
2 жыл бұрын
Yes, I'm especially impressed by the animation of Ben Sparks throughout the video. It looks almost like the real guy.
@matttondr9282
2 жыл бұрын
To teda!
@Triantalex
5 ай бұрын
false.
The interesting thing is: I 100% noticed his look but I thought "Well, the looking away bit is purely theatrics anyway and he probably already knows the total number because of math so it likely was actually accidental." The reveal that he had to look to figure out the top number sounds kind of cheap when you say it out loud but it genuinely surprised me. I guess I'm more naive than I thought I would be.
@SolitaryCZ
2 жыл бұрын
I like it, the misdirection disguising the actual "magic" trick by pretending to be a "smart" (calculation) trick is pretty unexpected (for this channel). It aims to trick people who know their dice and the properties and immediately started thinking about 7s and tried to figure it out, but the trick is impossible without the peek.
@Vallam23
2 жыл бұрын
it works because you think "there's no way he looked long enough to remember the position of all the die in the stack" and dismiss it before you even start working it out
@Triantalex
5 ай бұрын
??.
Next Numberphile video: 16 + 2 = ?
@FilmscoreMetaler
2 жыл бұрын
-1/12
@LukeSumIpsePatremTe
2 жыл бұрын
Parker's dozen
@columbus8myhw
2 жыл бұрын
20-ish? 15-ish?
@lekmannen9990
2 жыл бұрын
@@columbus8myhw we will never know
@FanTazTiCxD
2 жыл бұрын
*sEvEnTAIN*
Since there are only 6 possible answers (20 -15 inclusive) another interesting reveal would be to have 6 slips of paper in his pocketses. One in each back pocket, one in each front pocket, one in the coin pocket of his jeans, and the last one in his shirt pocket. Then he can simply pull out the correct slip of paper with the answer written beforehand. ^_^
that peek seemed really natural, well done
Ben Sparks just makes everything super engaging and fun. Love this guy. Also, I think keeping a reveal in different pockets might work? Like, having paper with the number written on it or something else that feels more deliberate than coins.
@IceMetalPunk
2 жыл бұрын
Only works if you have 6 pockets. Most of my pants only have 4 :D
@snuffysam
2 жыл бұрын
@@IceMetalPunk There’s ways to work around that. Tear the six papers into slightly different shapes so you can distinguish them by touch.
3 Stacked Dice ~Invariant~ 2:45 - Can't have a Numberphile Video without embarassing mental arithmetic
The last line about 21 pennys in his pocket, "is that so unusual?", isn't any more unusual than having 20 pennys, which is what he SHOULD have had in his pocket for this particular trick.
@Vallam23
2 жыл бұрын
a nickel, a dime and 5 pennies
@muckerwood
2 жыл бұрын
@@Vallam23 or 2 dimes and a Bob Uecker rookie card.
@gormster
2 жыл бұрын
But what if the zero comes up?
"Is that unusual?" 🤷♂️😅
@prepor584
2 жыл бұрын
and the perfect frame to end the video on.
@Wecoc1
2 жыл бұрын
"Perfectly cut existential crisis"
@datkidd4700
2 жыл бұрын
If you like this video , you’ll probably like Seven Hunnid, i watch him alot on KZread
@Wecoc1
2 жыл бұрын
I always carry a note that says "This wasn't an accident, I was killed", in case I have an accident.
@PhilBagels
2 жыл бұрын
It's not unusual to count to twenty-one (ba-da-da-da-da-da) It's not unusual to stack dice for anyone But if I guess the total of the hidden sides It's not unusual - cause I watch numberphile!
This man will not stop until every dice trick has been mastered.
As a (now retired) math(s) teacher I love the applicability to teaching the Associative Law
This is such a great video! Videos like yours inspire me to share my own maths content!
Honestly Ben Sparks is the most handsome celebrity on Numberphile, just looking at him makes my heart melt… every… time 😍😍😍
Literally a channel about maths and numbers Also the channel: 16 + 2 = 17 Even the best are just human and make mistakes from time to time :D
@cadekachelmeier7251
2 жыл бұрын
That's why they invite Matt Parker on the channel.
@stevenverhaegen8729
2 жыл бұрын
@@cadekachelmeier7251 Was going to make a Parker comment too. 😂
@visionandimage5893
2 жыл бұрын
Mathematics is not about being a calculator though
@friggelflander2558
2 жыл бұрын
@@visionandimage5893 Yes, maths all about knowing how to use a calculator /s
@lonestarr1490
2 жыл бұрын
@@friggelflander2558 So, what is math actually about? Inventing _new_ calculators! (For things the old ones couldn't solve, of course.)
might be interesting to do a numberphile video on the olympic scoring system for sports climbing. The competitors position in each of three disciplines were multiplied together with the lowest score winning the highest score losing. Why dud they choose to multiply instead of add.
@QuantumHistorian
2 жыл бұрын
Because multiplication is scale independent. You can rescale any of the events individually in any linear way and the order of their products wouldn't change. It's far more stable than addition in that sense.
@ig2d
2 жыл бұрын
@@QuantumHistorian now that's what I'm talking about! (thanks) - though I still reckon it's worth a Numberphile video. When the very last competitor (Jacob Schubert) was completing the final discipline and climbing himself up to a bronze medal position - while he was doing it the placing of all the other competitors kept shuffling around like a deck of cards. 🙂 Adam Ondra, for example, went from outside the medals to gold, back down to outside the medals again.
@garrick3727
2 жыл бұрын
@@ig2d The rapid changes in position sound like another reason to do it. With addition it's easier to get into the situation where the last round is something of a foregone conclusion: some people cannot win, some people are very likely to win. With multiplication the scores are more volatile, which makes the last event just as important. What you see in many sports with additive scores, like golf, is that it's easy to get into a situation where you have a lead, or you are so far behind you cannot win. They have a cut precisely to remove people who are unlikely to win, and people with a lead often play safe, such that the person leading going into the last day wins the tournament 50% of the time. You could still have a safe lead with multiplicative scores, it's just less likely.
@ig2d
2 жыл бұрын
The most striking example: Mawem in the qualifying round of 20 came 1st in the speed, 18th in bouldering and 20th (last) in lead totalling 39 out of 60 by addition but 360 by multiplication. His multiplication total earned him 7th place out of 20 and therefore a top eight qualification to the final If you compare the climbers totals by addition - only the bottom three competitors of the 20 had a higher total. By addition he would have come joint 16th (tied with Jan Hjoer)
@flashpeter625
2 жыл бұрын
I think a key point is that they did not want to have the 8 best universal climbers in the final. Those would be mostly less known climbers (because combined events do not normally exist), and this Olympic competition was very much about promotion of the sport for the future. I think they really wanted to have the well-known stars of the individual disciplines in the final. And in the multiplicatory score system, placing high in a discipline (and especially winning) is disproportionately advantageous. The winners of the individual disciplines were almost guaranteed to go into the final even if they were mediocre in the other 2 disciplines.
For any stack of *n* dice with any number *t* (being 1 to 6) on the top of the stack, it is possible to calculate the sum of all tops & bottoms of each die (excluding the top) with just *7n - t.*
The ending was worth the WHOLE setup! :D
5:30 Where do you teach Ben. Your students are lucky! There is not a single video of yours on Numberphile that hasn't blown my mind and where I'm not smiling like an idiot by the end.
glad i’ve seen today’s vi hart’s video, so i know about opposite sides adding up and am therefore immune to this tomfoolery
16 + 2 = 17. I've seen that on Numberphile. So, your argument is irrelevant.
@stevenverhaegen8729
2 жыл бұрын
Remember the trouble they got when claiming 1+2+3+...=-1/12 😂
"I didn't cheat in my exam. I just did some magic".
The bowl standing over the edge of the table upsets me.
The moment he turned around by accident I knew he was up too something cheeky hehe
Although I knew this trick from my childhood, I loved this video. (I had a fun teacher as well)
But as we learned from Vi Hart yesterday, this trick might not work for all octahedral dice
Stand up maths had this trick a few years ago, that’s how I learnt it always multiples of 7s based on the number of dice!
What a fun trick! Have to pull this one out at parties
Awesome!!
Woww the very first vedio I watched on this channel and boom subscribed🔥🙌
The periodic table on the wall (showing 104-106 as Unq, Unp, and ending at Unh) has to be the most widely produced version ever. Fisher Scientific, mid-1980s vintage. I still have a notebook-sized copy.
Can you make a video about those “hyperbolic marble funnels?” Are they actually hyperbolas? What is the theoretically most efficient design?
Nicely done 😊😊
that 18 just hanging around taunting him is a nice touch XD
"But it's 19..." "Bro." Killed me 🤣
Pretty cool!
I like the idea of using magic as a way of teaching. Thanks for sharing this video. Oh yeah, while I’m here - Aussie tv ad for Blinkist app has “Thinking Fast and Slow” as the book title on the actor’s phone screen. I just sat there shouting Nooooooooo at the screen.
Great video by Numberphile to Say, There's other Videos that you can make
Would you please make a video to explain why if we have an integer, and we want to find a sum sequence inside it (for example: 9=2+3+4=4+5; or 10=1+2+3+4); the amount of solutions for a given number is related to its prime factors? (2^n has no solutions.)
This guy would be the life of his pub!
In homage to our resident "Maximus the Mathematician"....I am entertained!
Nice video sir ji
Ben is cool. And smart!
I like the videos that I have a shot at knowing the answer.
I'm just surprised he didn't knock the bowl off the table all this while, it's so damn close to the edge.
4:05 I KNEW IT!
I had that thumbnail in my watch later playlist for nearly 90 days. And I expected it to be something 21 related.
As an avid boardgamer, I love these dice videos. I am willing to use any and all forms of trickery to mess with my opponents!
16+2 = 17, Parker addition right there
Well, the expected value of the answer is 17.5 If I were to do this trick without peeking at the dices... I will tell each one of my students to do it separately, then I will ask them to evaluate the mean of their answers, and hopefully the mean will be close to 17.5😉 Proof for the Ex: E(X+7+7) = E(X)+14 = 3.5+14 = 17.5
@3c3k
2 жыл бұрын
r/iamverysmart
@EebstertheGreat
2 жыл бұрын
Similarly, Var[X+7+7] = Var[X] = (6²-1)/(12*6) = 35/72. If you have n students perform the experiment, the variance is Var[sum(X)/n] = 1/n² sum(Var[X]) = 35/(72n). That's a standard deviation of √ (35/(72n)) = 0.6972/√ (n). So for instance, with n = 20, the standard deviation is only about 0.1559. It seems pretty reliable.
@3c3k
2 жыл бұрын
@O K he said the most obvious thing ever
@float32
2 жыл бұрын
@@3c3k “he said the most obvious thing ever”? Talk about /r/iamverysmart…
@V_2077
2 жыл бұрын
@@float32 got him 😂
is the professor still alive? i recently rediscovered this channel amd gave a quick scroll and got to 2 years ago without seeing him. im just wondering about him.
A more clever way without any peeking necessary would be to have your volunteer add up the numbers as described THEN have them subtract the top digit. Then you can reveal the top digit as THE MAGIC TRICK with 100% confidence.
@LudosErgoSum
2 жыл бұрын
@@Matt_6.6260 Yes, the sum of all three dice is 21, but the sum of the proposed operation in the video is 14+b which leaves out the top as the unknown variable. By having your volunteer subtract the top from the sum of the previous operation, you can deduce the top digit with 100% confidence because there's only 6 possible outcomes that are unique. Here''s the breakdown of possible sums: 14+b-t 14+1-6=9 => TOP=6 14+2-5=11 => TOP=5 14+3-4=13 => TOP=4 14+4-3=15 => TOP=3 14+5-2=17 => TOP=2 14+6-1=19 => TOP=1 I think you read something wrong because I clearly stated that the volunteer includes all the dice faces and then state the sum i.e. forcing the number and giving you the key to figure out the top digit (and bottom digit as well). There's no need to assume that there is a variable since you have all the information you need to discern the top digit which is the magic trick here (not the sum of the dice as in the video which also rely on you spotting the top dice).
I tried this with a friend and he was surprised.
nice
That's quite a trick. And it relies on subverting the expectation that it's not "tricksy". :)
i will use my trusty numberphile cap™ edit: now here's a lesson in trickery
Your Old Video 301 this is world record video love from India
The second he started adding up the faces I knew what the trick was. 21 minus the top. Super obvious. The difficult part was with the premise. He said he should have had the hat cover it. CONSIDERING YOU SHOULDN'T SEE THE TOP, I couldn't see a way to know what the total is. I kept thinking "well he has to break the premise and see the top, right?"
I think this guy is the one who buys 60 watermelons 😂
"Is that unusual?" :D
Only need 20 coins, theres no way you can roll a zero
Dice Stack Cheat - Numberphile _Fixed the title for you._
Is this a reupload? I've seen this trick on here before
@MonsieurBiga
2 жыл бұрын
It's the third video with Ben and three dice.
Two videos in two days about dice! One from the lovely Vi Hart, and one from Numberphile! Always a pleasure :)
A cap spelling "Numberphile" covering a numberpile.
That was dicey.
Next time when you have to put something on the brown paper to hold it down, can you please use something other than a bowl that is so close to the edge of the table. Thank you!...
As soon as he sneakily checked the top of the dice I knew it was 21-(top number)
@MrCheeze
2 жыл бұрын
I wasn't paying attention for the sneaking and assumed he was going to be told 19 and predict the 2.
My little 🥰 brothers and sisters I will be living forever in your hears 💕 by pulling this dice trick at family functions. 👪
Hahaha great way to end the video
New subscriber
I feel betrayed
@ddobrien1
2 жыл бұрын
I'm unsubscribing.
You throw 18 coins on the table, and walk away proudly, waiting for them to be impressed. -"Nah, mate, it's 17!" . . . . . . IN THE NEWS: Man arrested for starting a bar fight over a math problem.
Hi
Please help, I've been trying to find this, where in the world and for what reason do we use millions for 1000. I've been trying to Google it, but nothing.
Oof, a little trouble with the addition. Nice trick though.
Ohhhhhhhhhhhh theater and math
Before he said its not allways 19 i was like hey wait a minute oppisite sides on regular dice add up to 7 and 7+7=14 so the top dice needs to be five on the bottem and two one the top
Video title trick
Singular of "dice" is "die"
Ft: Russel Crowe
I guess you can't fool Penn & Teller with that, but ok...
now the real question is, how can we do the same trick with 'n' number of dices!
@hugobouma
2 жыл бұрын
Just 7n minus the top number, although keeping them stacked in the first place will then become the greater challenge.
I knew how it was done before you said how it was done :)
So you do 21 minus the top number to get the answer?
@comma_thingy
2 жыл бұрын
Yes
only works with "regular" dice bc then the faces opposing each other all total to the same number
2021
I have found something .. there is a possiblity of having a new perfect number between the 4th(i.e 8128) and 5th (i.e 33550336) perfect number.
@General12th
2 жыл бұрын
Have you now.
Sleight of head. Funny it took me a 2nd time watching the trick to figure it out…
Op
i done it
The fuq? That wasn't actually math. Just outwitting the victim.
I'm glad he's having fun, no one else is.
MV rất hay, i like it 😚🤒😟
you can make this better using a blindfold. say you roll two at random and stack them quickly. then say i will roll one pick it up press your thumb on the top and hand it to him. look down through the blindfold at the imprint on your thumb or after he covers it with the hat take the blindfold off and stroke your forhead to get the mental power goin and look at your thumb. if you have a hitchhikers thumb like me that bends all the way back. or take a drink and look at the thumb.
Sofa King Fun
It's not unusual to be tricked by anyone!
16+2= ... .. SEVENTEEN!!