“Hey, does anyone have a couple 6 sided dice handy?” “No, but I do have three dice sealed in a box and a printed out hexagon if that will work?”

@BolasMinion

3 жыл бұрын

I used to have large, hollow, transparent d6's with a miniature d6 within each. Don't know what happened to them.

@drake2561

Жыл бұрын

@@BolasMinion same here, I also have 3 distinguishable dice in a cube (as opposed to 3 indistinguishable dice in a cube) as well as a couple sets of the "full" dice array (by ttrpg standards at least)

My brain exploded when you plucked the hexagon off of the screen.

@Popcornio

8 жыл бұрын

+LittleMikey _head asplode_

@standupmaths

8 жыл бұрын

+LittleMikey Your head exploded‽ Imagine how I felt!

@littlemikey46

8 жыл бұрын

standupmaths Nah just my brain. Thankfully my skull contained the mess.

@getsomebud

8 жыл бұрын

+Popcornio Strong Bad!

@TwinkieSlamer

8 жыл бұрын

+LittleMikey Are you still alive?

10:35 Gluing one of the dice to the corner; most elegant solution

You inadvertently solved it!!! simply glue a dice in the corner, and then ignore it! problem solved!

@veigarthetinymasterofevil3930

8 жыл бұрын

lol

@whatzause

8 жыл бұрын

As was said earlier, "no physical solutions allowed."

@brokenwave6125

8 жыл бұрын

A dice? you mean a die?

@OrchidAlloy

8 жыл бұрын

A parker square of a solution!

@tgwnn

8 жыл бұрын

+Broken Wave no. Singular dice is also correct and to many people sounds better.

"Turns out, simulating 1 from 27 is trivial." Brilliant :)

@EighteenCharacters

8 жыл бұрын

+Penny Lane Indeed. That's the best Parker's Square I've ever seen.

@markenangel1813

3 жыл бұрын

*rolls* ...five *rolls again* *the dice fall everywhere* ...three

@cargo_vroom9729

3 жыл бұрын

For a few brief seconds he became an engineer.

@micahlong2073

3 жыл бұрын

@@markenangel1813 I died.

@teoyak

3 жыл бұрын

I'm so sad I can't ask a friend to watch twenty minutes of maths videos just to share that one moment of laughter with me. But I'm glad some folks on the internet enjoyed it with four years of time gap !

"Well I can confirm it actually took me..." *Video ends* GODDAMMIT MATT!

After you roll, flat spin the cube so that the three smaller dice move to the corners. Add the two that end up in opposite corners for a two dice solution. Ignore the two in opposing corners for a one die solution.

Cyanoacrylate adhesives are really hard to use on acrylic without clouding generally, and this was the perfect storm of conditions for that to happen because one of the main ways they cloud (in addition to just incautious application beyond the joint) is blooming, where the C-A monomers evaporate and then deposit on surfaces - since the inside of the cube was completely unventilated the monomers had nowhere else to disperse and so anything that evaporated inside the joint deposited back on the nice clear acrylic...

>Rolls big die >Explodes on table "..........Three!!"

@mikewhite735

7 жыл бұрын

Didn't he ask for a math solution? You're providing a physics solution.

@kingghoul2324

3 жыл бұрын

That's not what Shadowrun meant by exploding dice.

Okay. I admit it. When you grabbed the graphic, that was awesome.

@standupmaths

8 жыл бұрын

+Teddy Boragina I'm disproportionately proud of that.

@pellaken

8 жыл бұрын

You should be

@ZipplyZane

8 жыл бұрын

+standupmaths I wish KZread made frame scrubbing easier, so I could see the frame where you cut. As far as I can tell without that, you just had your hand perfect.

@satisfiction

8 жыл бұрын

I think it was hanging behind the graphic and there was no cut.

@ZipplyZane

8 жыл бұрын

satisfiction What was it hanging on?

That Parker cube quote was priceless

@PassionPopsicle

8 жыл бұрын

He has submitted to his fate. Loving it. Parker cube ftw!

@tim60312

4 жыл бұрын

He said he didn’t want to name the Parker Square because he knew this would happen.

I can't even imagine the amount of time editing this took. It was all spot on. This channel deserves all the views and then some. I'm a fairly new sub, but I already love this community, and the engaging conversation that is somehow able to take place in the comments. I'm already looking forward to the next puzzle.

Now we need a bigger dice that contains 3 dies which have 3 dies inside.

@djhenjin3425

8 жыл бұрын

+StereoBucket soo meta

@the1exnay

8 жыл бұрын

and figure out how to take the three indistinguishable pairs of simulated distinguishable dice we can get from that to then simulate three distinguishable dice

@brokenwave6125

8 жыл бұрын

you don't seem to understand how the words die and dice work... Die is singular. Dice is plural. Dies isn't an applicable word. so there you go.

@saulmcshane7090

8 жыл бұрын

+Broken Wave Ikr

@shingofan

8 жыл бұрын

Yo dawg, I heard you like dice...

loved the last seconds. Seems like the answer begins with a three.

@stefanilserbo2

8 жыл бұрын

+Michael Schmitz it may be "13xx", or he wanted to say "3xy" times, so the resoult can be from 3xy*1 to 3xy*9. So, don't rely on that beginning "th" (or at least, I hope it is different from that because I would have got the wrong answer ;_;)

You stopped fighting. You accepted your legacy. Your resistance was a classic #ParkerSquare, and it was brilliant. Thanks for the Parker Cube quote.

@justcarcrazy

8 жыл бұрын

+Melody Williams "Parker, the (almost) Great Mathemagician!"

me "Teacher, when am i ever going to use this in real life?" teacher "if you ever have too much time on your hands and want to make a popular youtube channel"

The rules to the hexagon method should be on the backside.

„simulating one from 27 is trivial“ - rolls mother of all dice hahahaha

@plazmi1

8 жыл бұрын

+Cr42yguy Aaaaaaaa... Three. xD

@AngryArmadillo

8 жыл бұрын

The shear amount of gusto with which he says, "5!" Is just fantastic.

@FoxDren

3 жыл бұрын

@@AngryArmadillo but he never said 120

Mathematician: Here's my algorithm for mapping 3 indistinguishable dice to 2 distinguishable dice. Engineer: Roll the cube then jostle them onto the edge, read the first two dice left to right.

@capttelush539

3 жыл бұрын

That was my thought too

@auto_ego

3 жыл бұрын

or just roll it twice

BTW, I loved the 10x10 Parker Grid :)

@WilliamPeytz

8 жыл бұрын

+Antonio Barba good one xD

@FayolaOnline

8 жыл бұрын

+Antonio Barba cute!

This kind of dedicated community involvement is something we need more of these days. Thank you! Keep up the good work!

Daaahhhhhhhh! You scoundrel, leaving us on a cliffhanger!

@CristiNeagu

8 жыл бұрын

+bdot02 Now ask yourself why he specifically showed the dice labeled "9, 7" and "6, 2".

@lin4cba

8 жыл бұрын

+Cristi Neagu I am too stupid to understand ;-;

@Exaskryz

8 жыл бұрын

+bdot02 Video length is 28:35 for a reason.

@FoxDren

8 жыл бұрын

well 9,7 is the last dice.

That hexagon solution was brilliant.

@NineEyeRon

3 жыл бұрын

Straight to the point

I hoped when signing them you used a permanent marker. Matt; "Yes: it'll always be a marker."

21:38 wow

@standupmaths

8 жыл бұрын

+mark van dijken Thank you. Very proud.

@itachi2011100

8 жыл бұрын

+standupmaths that cut at the end

@YellowPersonalityCore

8 жыл бұрын

+standupmaths first the magic lemons, now this Magic Parkergon?

@ttvdekkz0r

7 жыл бұрын

Even at 0.25 speed it's impressive how you made that work!

Oh my god the trickery with the hexagon my brain hurts

POV: you watch the original question the moment it releases, search for solution and find none. Then forget about it for a long time. *6 Years later, youtube recommends you the solution*

Matt Parker! In addition to your obvious numeracy and charm, you're a KILLER video editor / graphics creator. The time and attention it must take to make the extremely helpful animations that pepper your videos is not lost on me - I'm impressed. Thank you!

For the 2 dice simulation, couldn't you just role the 3 dice cube 2 times and use the 1 dice simulation? That seems like the simple answer to me.

This is so simple. Just exclude the one you glued to the corner.

Those two videos of yours and the responses they caused are the reason I subscribed. A very worthy puzzle, and it produced a lot of interesting stuff. Congratulations.

I love the transitions, I love the physical hexagon, and I mostly love the ending

So much crazy math and convoluted solutions, heh. Even the simplest one is pretty crazy. You've got a way to map them to a single dice, right? Roll it twice.

@AlexanderKrivacsSchrder

8 жыл бұрын

We choose to -go to the Moon- figure out these puzzles in this decade and do the other things, not because they are easy, but because they are hard.

@tpat90

8 жыл бұрын

+logicalfundy That wasn't the puzzle. If you can change a puzzle it most likely becomes way more easy to solve. Also those crazy math and convoluted solutions, as you call them, are (at least for me) fun and way more interesting if you are in a group (of math-interest people).

@WarmongerGandhi

8 жыл бұрын

+logicalfundy Roll it twice?! If you're going to cheat, at least cheat efficiently! Label each side of the outer cube 1 to 6 to get a second die in one roll.

@arcuesfanatic

7 жыл бұрын

In the original video, he said a way to count 3 dice as 1, and that is to take the sum%6 (remainder when sum is divided by 6). In the case when you get 0, treat it as 6.

@TheBloodsuger150

7 жыл бұрын

logicalfundy lol, as if he didn't make it very clear that wasn't allowed xD

That acrylic cube assembly job really turned out to be a bit of a Parker square.

@jacksonsteal7082

8 жыл бұрын

True

@jesusthroughmary

8 жыл бұрын

He made that joke in the video.

@amazinglittlekuin8929

7 жыл бұрын

*cube

@ZeroGD

7 жыл бұрын

jgallantyt uh oh. Somebody didn't watch all of the video before commenting

Thank you for taking the time and effort to making these videos. It's a joy watching them. Thank you.

that has got to be the.best ending to a KZread video I have ever seen. seriously. many props!

The simplest solution: use the one dice solution, twice.

well I would've just thrown the dice twice

Best video I've seen. Completely absorbing! So cool how so many people get involved! Love your videos. Gutted the signed dice ran out already. (Thanks for the signed card though 😊). Trying to pluck up the courage to go to a maths club night - not quite up to speed yet though. Keep the videos coming - they're great. Thank you 😄

Hey Matt! Just wanted to say that I really enjoy and appreciate your videos! Greetings from Finland. Thanks!

28:36 FFFFFFFFFFFFFFFFFFUUUUUUUUU

@D3ND

8 жыл бұрын

that's my reaction exactly xD

@frognik79

8 жыл бұрын

+Nusm4 mine was "bastard" with a smile.

@tesachishama

8 жыл бұрын

+Nusm4 I would say some rough word after that precise moment, but I won't. We deserve that after the efforts he puts into lookiing into all of our solutions xD

since when did parker squares turn into parker cubes?

@amroshIdreesh

8 жыл бұрын

+Agent M The glue made it a parker square cube ;)

@Vedvart1

8 жыл бұрын

+Agent M 10/10 bought the shirt

@synonymous1079

7 жыл бұрын

Amr Idrees it's the parker square cube law

@Misterlegoboy

7 жыл бұрын

parker hypercubes, coming soon to a dimension near you

@micayahritchie7158

7 жыл бұрын

Misterlegoboy but I can't see 4D

Winner well awarded, the solution was very true to the spirit of the challenge.

Loved the Parker cube joke :D

Lost it when he said parker cube.

@PeterBarnes2

8 жыл бұрын

+Marcel Robitaille Parker cube confirmed. Parabolati Confirmed. Parker Cube and Parabolati start with the same letter. Coincidence? I think not!

@fabi-fe2uw

8 жыл бұрын

The parker cube is infinitely many parker squares stacked, so it must be an even bigger fail than the parker square

@PeterBarnes2

8 жыл бұрын

vg fabi An infinitely bigger one. There's probably a definition for how much more of a fail it is.

"I've arranged them in a 10x10 grid... Of course missing the 3 in the corner..." Looks like you arranged them into a bit of a Parker Square then ;) Jokes aside, loving the videos, and while I couldn't really take part in this puzzle thanks to exams, I really enjoyed hearing the solutions people came up with and I'm looking forward to wracking my brain over the next one!

That cheeky solution of gluing one of the dice in place was really the most elegant one. Never saw it coming!

Lmao, the end...

@paradoxica424

8 жыл бұрын

+Patrick Wienhöft the first part of the word could be heard out as thr- So I'm guessing it's in the 300's

@paradoxica424

8 жыл бұрын

Although for probability's spite, it could have been the 30's

@MarcelloSevero

8 жыл бұрын

+Jack Lam I'm thinking 3000s

@markkeilys

8 жыл бұрын

+Jack Lam if there is the [thr-] sound then we can rule out 30's due to its sound being [thur-] i heard nothing.. but it looks like that's fricative which means the most significant digit must be 2, 3, 4, 5, 6, or 7 or it could begin with the number 10,or 12. i still say three-ish

@MarcelloSevero

8 жыл бұрын

***** Looks like he's putting his tongue between his teeth, so it's almost definitely th-. I can't rule out the "thur-" sound.

THAT ENDING?! DON'T DO THIS TO ME, I'VE WAITED SO LONG! :'( edit: Such a Parker Ending

@888SpinR

8 жыл бұрын

+Fettklomp A Parker Square of an ending*

@fettklomp

8 жыл бұрын

+888SpinR Well done, good sir!

@NaN0s7

8 жыл бұрын

+Fettklomp Parker square of a comment I might add ;P

@jackscrivens9520

5 жыл бұрын

Very parker square

God, the end was awesome! I didn't know, that you really flipped that coin so often!

6:30 i almost said "but what about 7,1?", but my brain suddenly woke up and slapped me in the face. thank you brain.

Another Monopoly error: You do need to know the individual dice because otherwise, you wouldn't know when you've rolled a double.

@heimdall1973

3 жыл бұрын

But you don't need two distinguishable dice.

I almost flipped my desk at that ending.

@EHaraka

8 жыл бұрын

+viralinfecticide How many times did you flip it? That's what we want to know!

@ElchiKing

8 жыл бұрын

+EHaraka 0.5 times, since it was "almost" flipped.

If this was to be made as a marketable dice, you could have a semi transparent hexagon on all of the faces

that was a kewl video. man the graphics in this show constantly surprise me.

Did it take you 2,835 tries? (Video is 28:35)

@mydotasopro

8 жыл бұрын

or maybe an average of 28.36 times LOL

@_Niels__

8 жыл бұрын

+DiCasaFilm That would be cool!

@Tahoza

8 жыл бұрын

+DiCasaFilm That would be very clever of him. I have to admit I literally yelled "Matt no!!!" when he didn't give the answer at the end though....

@hps362

6 жыл бұрын

Imagined if he never showed his face again. The mystery of the coin flips, forever shrouded in... more... mystery, yeah.

Hows this for a solution: Write the numbers 1 through 6 on the outside (clear) die, then take the mod(6) of the sum of inner dice

@soulsilversnorlax1336

8 жыл бұрын

+elvishfiend Genius!

@ElchiKing

8 жыл бұрын

+elvishfiend I guess this would be an outside the box (like writing the numbers on the cube and rolling twice) solution which was excluded

@soulsilversnorlax1336

8 жыл бұрын

Elchi King Literally! (As the ink from the marker you used would be on the outside of the box.)

@Tumbolisu

8 жыл бұрын

+elvishfiend This method was mentioned in the orignal video and is not a valid solution. This is a maths problem, not a party trick.

@liesdamnlies3372

8 жыл бұрын

+Tumbolisu Maths is srs bzns. rly srs bzns.

You really Parker Squared that Parker Cube...

@dunsparceislife2156

8 жыл бұрын

+vipero07 savage

22:19 Nice reference. I would've totally commented calling it a parker square of a trophy but this is much better.

loved this video and the previous one. Also, hilarious assembly required! I LOL'd. Woulda glued one in the corner myself!

Even though this video is now over 4 years old, I decided to give it a go and try finding my own solution anyway. I spent a good couple hours working on it and I thought I found a novel solution, only to realize that my solution required distinguishing between the *indistinguishable* dice :'(

@IHateUniqueUsernames

3 жыл бұрын

Here I am 7 months after you stumbling on this video. I learnt from the "simulate 1 die" warm up that trying to distinguish it is definitely not the correct path, but I am wondering, how many simply suggested to just "roll and mod 6, twice!" as a solution.

@anonymoususer2756

3 жыл бұрын

I mean, if they were distinguishable you could just ignore the same one every time lol.

you really made a Parker Square™ out of that 3 indistinguishable dice cube

@PeterBarnes2

8 жыл бұрын

+Alex Banks Parker Cube™*

First off, thanks for taking such a great puzzle and bringing it to this community where we could all share our findings, intuitions, etc.. Also, I think you did an excellent analysis of a variety of solutions to this problem! I will however assert that we have missed out that you have not done an analysis of the 3 to 2 dice solution I posted, as I it contains what appears to be a very powerful mathematical generalization! I stress this, not because "its mine" (I do not even attempt to take ownership! It is for any and all.), but because its really cool, and very few have approached it so far, presumably because it looks intimidating due to a perhaps a lack of emphasis of elementary algebra in modern mathematics. Thank you for bringing this problem to such a large forum! I am very happy that I got the opportunity to participate socially about what would typically be a personal musing the results of which would be buried in a pile of notebooks. All the best! :-)

@standupmaths

8 жыл бұрын

+myName Thanks! I'm very proud of the community here. Sorry I didn't get to include your solution. There were so many good ones, I had to cut it down a bit arbitrarily.

@myName-dg2qm

8 жыл бұрын

I cant imagine trying to wade through all this! This has been awsome though! Thank you! :-D

ok, i already knew you from numberphile but i just discoverd your chanel. you own your sub ;), thank you to make me search and think about math problems

I see that Matt Parker has come to terms with the Parker Square ( 22:22)

Matt, I fear that you did not actually count the number of flips it took. Please give me closure.

I love the first 28 minutes and 35 seconds of your video.

"What you need is to be CLEVER!" Thank you, Matt, now we know.

Cliff hangers... gotta hate them...

i love the Parker cube reference XD

@stefanilserbo2

8 жыл бұрын

+ST-Leo-TS GodGoneRogue It was awesome and unexpected! For anyone who doesn't know what it is about, chekc Numberphile's channel, video: "The Parker Square"

Dang, I was looking forward to hearing your favourite solution.

The parker cube comment made me chuckle. Best line in the video.

the solution with the hexagon is really good. It is the only one I have seen so far, that is as fast as a lookup table and can be used while playing with children. (Or, if you do NOT have children (like me): while being a little drunk.)

@standupmaths

8 жыл бұрын

+Ceragon little children == little drunk: TRUE

@theaureliasys6362

8 жыл бұрын

+standupmaths Lol.

lol! first a square that does not work and now a damaged cube. i am waiting for you to name a spoiled hyper cube.

@ediza.8485

8 жыл бұрын

Don't forget the Parker line and Parker dot for 1 and 0 dimensional objects!

@ghanshamchandel1854

8 жыл бұрын

Almost missed that one!

10:26 That "quick calculation" is probably my favorite part of the video

This is the biggest Parker Square of a video I mean honestly that ending, Matt stop being a living meme

Parker cube.... I love it! Haha

My favorite thing about these solutions is that it's way easier to just roll two dice.

@johnnye87

3 жыл бұрын

The easiest solution is to just pick the number 1 twice. (Sure, it's the least random, but it's definitely easiest.)

@irrelevant_noob

3 жыл бұрын

@@johnnye87 Meh, you should choose 4 and 2. :p

The isometric axometry (forgive me for misspelling) of a cube is an exagon, so there's that. Instead of printing the immage you could look at the transparent dice from an angle and visualizing it that way. Nice video!

Nice touch showing the box assembly.

You need to know the individual values for Monopoly. If they're both the same you get another go, get out of jail free, etc.

@heimdall1973

3 жыл бұрын

Two indistinguishable dice will do, you don't need to know which one is first and which one second.

That's one Parker Square of a first place trophy.

Neat little side thing I discovered while playing around with this stuff: if you take two dice and say 1, 2, and 3 are 0, and 4, 5, and 6 are 6 on one die, and then keep the other die as is, you get an even distribution for the numbers 1-12 (like dolling a D12). I haven't figured out how to generalize it for other multiples of 6 yet.

I appreciate your dedication to the viewers.

Matt accidentally made a paradox while saying : "... for going to far which is exactly the right distance to go ..." If to far is right then it is not to far so it is not right

@fejfo6559

8 жыл бұрын

***** I just really like paradoxes

@MrAelual

8 жыл бұрын

yay! Paradox

@damienw4958

8 жыл бұрын

It is not a paradox, it is simply a quantum superposition of states

@BeatButton

8 жыл бұрын

A contradiction isn't a paradox. Besides, statements in this format generally mean that what an individual might think is going too far is, in reality, going just far enough.

@fejfo6559

8 жыл бұрын

Beat Button I know what he meant I just like finding paradoxes and what is a paradox if it ins't a self contradiction ?

Parker cube!

I'm in love with the *Parker cube*

No idea how I got to this video, but I really enjoyed it.

Honestly, Matt, you may well be the modern-day Martin Gardner, posing these puzzles to us like this.

@Bella_Stend

8 жыл бұрын

+doctorwhofan883 More like ferma XD

I liked the gluing solution the best. ;)

As soon as you mentioned it was acrylic and you talked about gluing your fingers together (implying a CA glue), I wept for the clarity your megadie.

Great job on solving the shipping problem, too.

Actually you almost get the easiest solution to the 2 dice from 3 question.... Just glue one into a corner xD xD

@shahnawazazam

4 жыл бұрын

lolllll

that ending tho. you cheeky *******

There were some really nice solutions submitted.

Wow! I was wrong... Sometimes we learn more from being wrong than right. A good reminder for us to question everything we THINK we know. Cheers to Matt and all his subscribers

Damn you matt.... are you going to make us watch annother 28 min video to know the coin flip number????

@standupmaths

8 жыл бұрын

+Jarvis Anderson The flip video will hopefully be shorter.

@thesivraj

8 жыл бұрын

I also "hope" :) Keep up the good work - you are a maths inspiration to my kids (and me).

That ending tho

No one is talking about his little movie trick where he physically grabs the hexagon: 21:35. Very neat Matt!

@Mawkler

8 жыл бұрын

+Mawkler I like the little "magical sound" you added also!

that was so far above my head, iv no idea what it was about. it was a very well made video tho, you are very entertaining.