Maths Gear: Non-transitive Grime Dice

Steve and Matt from mathsgear.co.uk meet James Grime, the inventor of Non-transitive Grime Dice.
Buy these dice: www.mathsgear.co.uk/non-transi...
Read more about Grime Dice: singingbanana.com/dice/article...

[@kacperkopec8360]

It's cool that all three of them have something named after them: the Mould effect, the Parker square and the Grime dice.

[@SomeRandomFellow]

I dont follow mould as much as i should, whats the mould effect

[@phlimy]

I don't think Matt is very proud about the Parker Square haha

[@AntonioBarba_TheKaneB]

he pours random things out of beakers, pretty much

[@newestupdates5921]

Kacper Kopeć Parker square lol

[@dcs_0]

The Parker Square is Perfect! Oh wait, that was a Parker Square statement (almost right)

[@cameodamaneo]

James Grimes and Matt Parker in the same place! Omg!

[@OrangeC7]

Cameron Pearce This is exactly what I was thinking

[@dustt314]

@@OrangeC7 WHAT ABOUT STEVE?!?!?!

[@BertGrink]

They also both appeared in Tom Scott's video about Bar Billiards

[@cameodamaneo]

Looking back, I think my comment was sarcasm as they're often in the same place.

[@cameodamaneo]

@@dustt314 I didn't know Steve Mould at the time. I do now and I regret not mentioning him.

[@stumbling]

Mould and Grime... lovely.

[@Maninawig]

Some Mould, some Grime and a big Matt in between.... Though the Mould Effect is life changing

[@slendy9600]

these are like the dice equivalent of rock, paper, scissors, lizard, spock XD

[@themeeman]

+slendy9600 But more fun :)

[@phs125]

slendy9600 I would say I got that reference. but because its a comment relating to a nerdy show under a video by 3 really good nerds, I think pretty much everyone got the reference.

[@omikronweapon]

It might be semi-obscure but how is mentioning something concretely, considered a "reference" to 'be gotten'?

[@FooBarBash]

Dr. Grime is such a cutie. Just his mannerisms and enthusiasm for maths, in general :')

[@hornylink]

holy shit it's the singing banana!!!!!!!!!!! best video surprise ever. I have to send brady a gift basket or something for all these awesome people he's turned me onto with his channels

[@BloCKBu5teR]

I don't think that's Brady's chosen Chaney channel

[@Tsskyx]

Wait, if there's a chain in the dice going one way, and a pentagram going the other way, then it's just like the Chinese elements philosophy. Fire burns wood, wood sucks water, water corrodes metal, metal cuts earth, and earth chokes fire. Then, fire melts metal, metal cuts through wood, wood digs through earth, earth dams water, and water extinguishes fire. If the dice could be colored red for fire, yellow for earth, black (or white) for metal, blue for water and green for wood, then that would be amazing!

[@PromptedHawk]

How does metal burn wood exactly? It's been a while, but I'm interested.

[@Tsskyx]

oops, that was a mistake, I meant to say that metal cuts through wood

[@PromptedHawk]

Damn that was quick. Now to the difference between the Chinese element philosophy and this. These dice 'win' chains are only on average, meaning that it's most likely to win, unlike the elements or Rock Paper Scissors Lizard Spock, where the win condition is certain.

[@Tsskyx]

It's a memorization technique, not a rule. It's just a way of remembering which die has a greater chance of winning, given the situation.

[@isamiwind438]

there is. v=zWUrwhaqq_c (Non-transitive Dice by singingbanana)

[@megadeathx]

Did anyone else freak out when guy put the yellow and "magenta" dice back out of order? I saw James eyeballing the dice pretty hard for a couple seconds, and he even picked up one pair in what I assume was an attempt to work out how he could set the order back correctly.

[@jhonbus]

"We sell nerdy maths things". Instantly subscribed.

[@OmegaRainbow]

rofl, Grime's entrance is the best entrance of anyone in a video XD

[@KjeldSchmidt]

MAGENTA? Olive, fine, but this, Sir, is not Magenta!

[@andersonkurk3976]

More like violet.

[@iamsick5204]

Kjeld Schmidt its just to remember the order

[@Maninawig]

It's more Fuchsia, but I got to give them leaway... Google is calling majenta "purply red"

[@Maninawig]

Isaac Harper Fuchsia is a better choice in names and also has 7 letters

[@MikeDeLue]

I want non-transitive fuzzy dice for my rear-view mirror. Make this happen guys.

[@Maninawig]

Michael DeLue totally possible, however, three fuzzy dice, even 5 will be too much if an obstruction for the rear view

[@CAVR]

Also could have been the "G.R.I.M.E." colors: G= Green R= Red I = Indigo M = Magenta E = Ebony

[@kikicat123]

Ingenious.

[@DutchDread]

Honestly would have preferred that.

[@jameswalker199]

But then you have two fives. Maybe have Grey, not Green?

[@SteveMould]

I was messing about this the site earlier and broke it for a short time! It's fixed now so if you refresh the page you should be OK. Let me know if it's not.

[@kurumi394]

It still works after 8 years lol

[@SteveMould]

Brilliant! Thanks for your order.

[@TheVJackV]

It works now! Thank you! Can't wait for the dice to arrive :D

[@chandnibhudia624]

Hilarious end bit!

[@paulcoy9060]

"That's a pentagram" "Well, that explains a lot" Satan loves a good game of dice apparently

[@robread-jones3698]

This is a criminally underrated comment!

[@ThePotaToh]

Crimson & Scarlet (and every other color except Magenta with 7 letters in their name): **looks at Magenta** *pfffft*

[@ThePotaToh]

Emerald, just another off the top of my head. Fuchsia. Saffron? Chiffon? 🤔

[@mattsadventureswithart5764]

I love the bit at the end

[@kayleighlehrman9566]

Love how the go increasingly formal in their attire going from left to right; shirt, argyle cardigan, shirt and overcoat

[@MrPatrickHenryCheryl]

"One dice (plural)" "Two die (singular)" Wut

[@themage1028]

sold. just placed my order. these are awesome! I'm a dice collector (yes that's a thing), and these are just the cool things I like.

[@ThreeXcore]

Dr Grime is the best! Incredible charisma and awesome teaching skills. :)

[@BertGrink]

Not to mention his endearing enthusiasm.

[@TheVJackV]

My non transitive dice arrived today, they are awesome!

[@ajreukgjdi94]

at 4:15 he says that Olive will on average beat Red whether you use 1 or 2 dice, but by my math, Olive has a 69.444% chance of beating Red with 1 die while Red has approximately a 51.775% chance of beating Olive with 2 dice.

[@reillywalker195]

You're correct. That said, there's a simple fix to the problem: to treat the double-zero roll with two Olive dice as a total of 100 much like in a tabletop RPG rather than as a total of 0. The best part about that fix is it doesn't disrupt any other relationships between all the dice in the set.

[@jonathanwalther]

I watched this after some Monty Python stuff. This fit perfectly well. The chair performance was just hilarious! Thanks guys. And nice to see you all in one vid. Keep on rolin'.

[@AgglomeratiProduzioni]

_Wait! Why wasn't I already subscribed to mathsgear?!? This is so outrageous!_

[@Cayberni]

James, your comment "this came out of my brain and into my hands"...that's exactly how I feel every day as an engineer. Of course, I love the maths involved.

[@shellbournian]

I'd love to see you guys reach out to Scam School to do a collaboration with these dice. Their channel is all about (often math related) bar games. They're nerds, you're nerds... it just seems right.

[@Sandalphonium]

+shellbournian They're boring nerds.

[@jekyllgaming99]

my right ear enjoyed this o_o

[@607]

Cool! And I love the ending. :P

[@unseldomdrastic]

Great ending!

[@cbbuntz]

Dice is the plural of die, James. Two dice.

[@terranceparsons5185]

Ok, I love these kinds of video, but this one is a wow from me.

[@SteveMould]

Just changed the links. Should stay up now :)

[@salhal73]

I love the numberphile groups videos like this one!

[@Maninawig]

James, there are two problems with what you said... 1. True Magenta is a sort of a hot pink colour, and not a purple 2. Fuchsia is another colour that has 7 letters. And by google definition shares the same colour code as Magenta.

[@8523wsxc]

That loud noise you just heard was my brain that exploded.

[@ninjapinguroid]

We were given a free set at a Royal Institution Christmas Lecture a couple of years ago by Microsoft Research. really good!

[@monsvague4825]

That reminds me such much of "Fun with Flags".

[@PureInsanity]

Numberphile!! I am buying these right after I calculate the probabilities myself

[@juustgowithit]

I laughed too much on the chair intro. Even more on the outro 😂😍

[@L4Vo5]

This is awesome!!

[@bimbin0]

wonderfull, works like a charm. thanks!

[@BatteredToast]

GOD DAMN GRIME BACK AT IT AGAIN

[@GyanPratapSingh]

we love james :D

[@Hypercube1729]

They are such übernerds!! I love them!!

[@sockmaster2718]

Can you PLEASE do a video explaining the math behind these dice? I can't wrap my head around it.

[@timgehrsitz3267]

The math behind this is wild, I think Dr. Grime saying "twoooo chains" was the best part of this video

[@stefanbontekoe9123]

This is so cool! And the video was really funny

[@Razzfazz87]

I love James Grime

[@sockmaster2718]

How in the living fuck is that even possible?

[@ivanspoljaric9267]

Maths

[@error.418]

Coco Gaming www.quora.com/Which-is-correct-Math-or-Maths

[@alvisng1515]

I keep thinking rock paper scissors lizard spock

[@snorri0411]

mind=blown... crazy but amazing stuff!

[@djmintyfreshful]

The way james slid in 🤣🤣🤣

[@SteveMould]

I can't post links but if you go to mathsgear and go to any of the grime dice products there should now be a link to "James Grime's article". If you don't see that link, you're looking at an old version of the site. Try refreshing the page if you haven't already. Let me know if it doesn't work.

[@bmhyakiri]

Wow, thank you for explaining. I have to admit I was only half paying attention to the video.

[@DutchDread]

I am so strangely excited to own something James invented.

[@eduardoxenofonte4004]

Got that sold, man

[@Centigonos]

There is no number large enough to express the amount of awesomeness of these dice (and the other stuff on mathsgear)!

[@paradoxica424]

Infinity

[@KasabianFan44]

Jack Lam Infinity is too small. And it's not even a number.

[@paradoxica424]

The power set of all the uncountably infinite aleph sets.

[@KasabianFan44]

Jack Lam Still not enough :P

[@paradoxica424]

The meta-power set of all the uncountably infinite beth sets.

[@apostleguy]

“That makes like a pentagram instead of a circle.” “That explains a lot, actually.”

[@DanDart]

"It didn't used to be a thing." Yes Matt. That's how the universe works. Things become things after a period of said things not being things.

[@ffggddss]

And eventually, things become not-a-things.

[@MB256s]

Red>Blue>Green>Yellow>Fuchsia Blue>Fuchsia>Green>Red>Yellow There you have it. No need to introduce olive and magenta to keep things consistent. I've seen a lot of people suggesting either change but green on its own breaks the second chain.

[@noblessus]

lol loved the awkward ending.

[@gemmaarrowsmith]

You *must* ask him the next time you see him, Steve. We need to get this sorted out.

[@lydianlights]

Oh, THAT James Grime.

[@Jivvi]

1:34 Classic singingbanana smile!

[@Julio974]

I’ve never seen a better example of the expression « mind blow »

[@shayknox1023]

Came here after reading about these dice in Humble as Pie!!

[@casey6264]

"Infinity War is the most ambitious crossover event in history."

[@JimGiant]

Scarlet has 7 letters?

[@schwarzarne]

Seriously? You don't explain the maths behind them?

[@typo691]

Check the second link in the description.

[@CarpeMetus]

You should put a set of these dice in your emergency time travel Go Bag. If you get sucked back in time you could buy an entire town in a few short days through pub bets.

[@ardinhelme687]

are the single sets ever going to be re-stocked or is it only bulk order from now on?

[@CarpeMetus]

I wonder about the math of choosing off color pairs. That would be interesting.

[@rosebuster]

This is a classic Parker Square, James! The whole concept of your dice looked beautiful to me until I realised there's one exception in it. You said the second chain doesn't flip, but that's not completely true. The odds between the red and the olive dice do flip! As a result if you play 2 opponents at once and they pick red and blue, you will lose more than 50% of the times to either of them, no matter which colour and which version of the game you choose, because there's no strategy beating them both at once. Even the "Read mode" article linked in the description confirms this exception, but it tries to say "eh, close enough" and suggests we assume the probability in this case is almost equal. But that's just trying to stretch the truth. The facts are your dice are a classic Parker Square. But hey, at least you tried! :D

[@Psycho345]

Blellow also have 7 letters.

[@ripwolfe]

What happens if, given the 10 dice, you pair them by arbitrary colors as opposed to matching the colors? Or if you rotate the "outer" dice by one (so that green -> blue, blue -> red, etc, so that you have green/blue, blue/red, etc). Any patterns there? Or does the universe simply collapse?

[@JefferyMewtamer]

5 non-transitive dice having both a pentagonal and pentagrammic order of beating each other is old news. That doubling reverses the pentagonal path blew my mind... that it doesn't reverse the pentagrammic path blew my mind again. I wonder how tripling affects the probabilities. Though the question is, are the advantages fair? e.g. Does Red beat Blue by the same probability that blue beats olive? and do the probabilities remain the same along each cycle?

[@gemmaarrowsmith]

Steve Mould, Matt Parker *AND* Numberphile's James Grime? Come on guys, there's too much awesome in this video. X

[@HudsonAnsley]

They should also sell a set of fuzzy transitive dice to hang from your rear view mirror (maybe not a UK thing) - I may just make some myself!

[@chologonzalo999]

Well, why you didn't play? I think that would be the best way to demonstrate their quality.

[@andersonkurk3976]

Celadon has 7 letters.

[@NassosConqueso]

You are hilarious!!

[@djtwo2]

The things lacking here are definitions of how you decide who wins. For a single die, is it the highest or lowest score that wins? For two dice, is it based on the best of the individual faces, treated separately, or on the sum of the two faces?

[@rafbambam]

so if you pick one color, there are 2 colors that beat (on average) that color. If you have 2 people knowing that and team up (without telling the 3th) they can drink a whole lot off free drinks: on everage one of the 2 "winning" colors will win 50%+; what are the % for one of the 2 colors winning?

[@Sirenhound]

I've been a fan of Numberphile and StandupMaths etc for ages, I got these as a Christmas or birthday gift last year and just really had a look at them now. I didn't know you guys were behind them, I thought they were called Grime Dice because there's deception going on.

[@199NickYT]

Wait, what happens when you roll all three dice repeatedly and observe the totals?

[@red40222]

Never thought I'd see his face outside of numberphile

[@Kuulpb]

"Ony colour with seven letters" a quick google shows : Apricot •Crimson •Emerald •Fuchsia •Magenta •Mustard •Scarlet

[@NathanTAK]

None of those are TRUE ~Scotsmen~ colors except Magenta.

[@exod4]

Only colour with seven letters................. of the colours mentioned this far

[@Kuulpb]

2 quick questions - If he said Green ( 5 letters), is actually Olive ( 5 letters) for.. No purpose I guess. And Also Could it because he said Magenta and forgot to say it's the only Purple with 7 letters? which probably isn't the only purple, but he could have changed yellow for mustard, he could have had Yellow as lemon and green and emerald. so many Possibilities xD

[@linazso]

+Steelcrest I think olive is only needed for the alphabetical order (just a guess)

[@NYsummertimeCHI]

Lilla Kiss Fuchsia then green would have worked just as well

[@monasri92]

Dr. Grime! \m/

[@muccafamumu]

I just bought 2 set of these dice

[@jaquiox]

cool, what happens with 3 of each color?

[@omikronweapon]

I'm trying to determine if it's better to use "dice" for both single and plural or to try to use both "die" and "dice", but failing XD

[@Isayonelove]

Isn't green the same amount of letters as olive?

[@resonantdave]

DR.GRIME WOOOO!!

[@zoejohnson4850]

What if you mix and match the dice?

[@leomupi]

Oh, how'd I missed that.

[@JennWanderer]

There's an alphabetical aspect to the play as well. Starts at 4:00