I remember watching Simon's solve of this. It was beautiful watching him work it out.

@owenroche5247

4 ай бұрын

Do you have a link to it?

@PhilippeAllardRousse

4 ай бұрын

@@owenroche5247 In the description.

@WombatSlug

4 ай бұрын

I do as well. It was a thing of beauty. My mind does not work like that very well, but I love how he's able to tease such things out of these more difficult puzzles.

@owenroche5247

4 ай бұрын

@@Nope-w3c probably should checked there first lol. Thanks!

@lill3lars

4 ай бұрын

@@owenroche5247it’s in the description under this video

No mention of The Secret, so we now know Brady is not one of Simon's favorite people.

@longwaytotipperary

4 ай бұрын

😄

@ZachGatesHere

4 ай бұрын

Bobbins!

@OmateYayami

4 ай бұрын

I think it was done in the 1st video though. If memory serves right.

@liad88

4 ай бұрын

@@OmateYayami Yours memory serves wrong.

@darrenbent7601

4 ай бұрын

That is because he is not with his favourite people. LOL

Amazing to see Simon on Numberphile. Very good pair of videos showing that Sudoku can be a lot more interesting/intense/difficult than the bog-standard ones everyone is familar with.

*after hours of complicated maths* : "Well, 3 can't go there"

@ingiford175

4 ай бұрын

Thats three in the corner, three in the spot light...

@mehdishakibaii5408

3 ай бұрын

@@ingiford175 I was thinking about the exact same thing as you said when I was reading @sproins 's comment :))))

@kosterix123

Ай бұрын

this is the way.

Simon's joy is infectious. Can't ever get enough!

Simon’s sudoku solving was S Tier lockdown viewing for me a few years ago

Since watching the video four days ago I have spent hour and hours over on Simons channel. Have learnt so much about the various sudokus and have downloaded their app and tried so many myself. Four days seems such a long time ago now!! Thanks for all the fun and knowledge Simon!!

I'm disapointed... 2 videos about set theory and simon doesnt mention scrable bags once... :D

@Tristan_YoloCoaster

4 ай бұрын

Bobbins

@matthewgraham2619

4 ай бұрын

Without it, this video is as useful as a chocolate teapot.

@DeZZie.M

4 ай бұрын

They made a tiny cameo I believe, they were on the table on his left!

@olivier2553

4 ай бұрын

Simon did not have an orange Sharpie!

@longwaytotipperary

4 ай бұрын

😄

This is just the kind of crazy shit I love seeing on KZread. Also great to see Brady and Simon collaborating.

Simon lulled me asleep countless nights. His voice and logic are relaxingly hypnotic.

The only thing I wish had been done better in this video is doing an introduction to variant sudoku. Even people who are very familiar with sudoku as a game may not be familiar that those are even a thing and may be confused by the grid. For those who are indeed confused, variant sudokus are regular sudoku puzzles with custom rules/hints on the board rather than numbers. If you follow those hints you should be able to get some numbers until you have enough to solve the puzzle as a regular Sudoku. Some of those custom rules have become popular and a lot of puzzles use them and some may only be used for a single puzzle and then never again.

@backwashjoe7864

4 ай бұрын

Thanks for the background! The origins of those extra rules was confusing, but now much less so, and I like the video even more! :)

@RossReedstrom

4 ай бұрын

And following those rules - applying logic to get the first number, is referred to as the "break in" of the puzzle.

@darrenbent7601

4 ай бұрын

@@backwashjoe7864 Simon has a lot of fun on CTC solving the puzzles. It really is joyful. It is refreshing to see a solver have so much joy, even if he is totally confused at the start of the puzzle. It takes a few sessions, but there is a natural rhythm to his solves, even the epic movie length solves.

@eugenetswong

2 ай бұрын

I'm confused. Is a variant required to do what he did in the video?

@CatCheshireThe

2 ай бұрын

@@eugenetswong Not in the first video, which is a property that applies to all standard sudoku grids and variants that use standard sudoku rules. This one is an extension of that property but does require variant rules since it depends on sums of values to work, and in normal sudoku the actual values of the numbers don't matter, only their positions relative to each other (you can take any normal sudoku and say, swap all the 1s with all the 2s and it's functionally the exact same puzzle, but that is not possible in many variants).

Every time Simon explains things, its fascinating, even if ive heard it before. Great video! 💗

@longwaytotipperary

4 ай бұрын

Ditto! 😄

Watching CtC I always thought the minds of puzzle solvers should also be really good at math, since proofs are also puzzles in way. Nice to see these worlds collide.

One of my all-time favorite puzzles from the channel. Thanks for hi-lighting it!

Normal sudoku rules apply!

This was easily one of my favorite CtC puzzles. So glad to see this was featured!!

Bobbins!

@freddupont3597

4 ай бұрын

hehehe

So happy to see this colab! Bloody love cracking the cryptic

I still remember his solve of that puzzle ages ago. I think of it often. Simon is the one who taught me how utterly beautiful sudoku could be.

Well done Brady! Great Video combining CTC and Numberphile!

This puzzle - any sudoku puzzle, actually - brings so much pleasure to me as a viewer when I watch Simon or Mark (from Cracking the Cryptic) - and I always learn something. Excellent feature here!

So cool to see 2 of my favorite channels teaming up!

Love seeing Cracking the Cryptic on this channel!

The video was amazing, it was the perfect balance of detail and explanation for the depth of the topic. I love understanding what's behind the games I love. Would love to see the accompanying video on further details, ray-tracing and DLSS

Never expected to see Cracking the Cryptic on Numberphile, but this is great!

I remember watching his puzzle videos a few years ago, and they were still easy / solvable at the time. And then you could gradually see them getting tougher each week, with less and less numbers filled in from the start. Then at a certain time, the first puzzles started to appear that had no pre-written digits at all. That's the moment I stopped trying because it started to go over my head. So it's funny now to see this Numberphile video, showcasing how much further they went down that rabbit hole with the empty puzzles since then. This one goes way over my head xD

@jwolfe01234

4 ай бұрын

It's not clear to me what their target audience is any more. Simon still goes into excruciating detail explaining basic concepts while solving puzzles that are effectively impossible for people who aren't already experienced-to-expert level solvers. Mark is somewhat better in that regard but seems to be following Simon's lead in doing more of that. But their videos get tens of thousands of views, so what do I know.

@fakjbf3129

4 ай бұрын

My favorite innovation has been Fog of War puzzles where you can’t even see the whole grid. I actually find them easier to solve than regular sudokus because the limited view focuses you onto the next step rather than being distracted by clues that aren’t useful until later on.

@tanyaegorova3149

4 ай бұрын

​​@@jwolfe01234I'm an avid viewer, but I'm ridiculously bad at maths, so it kind of scratches my itch for a nice sudoku/logic/maths puzzle game without the frustration of trying and failing to solve it. Thinking about it, Numberphile and Sixty Symbols videos kinda do the same

@thefacethatstares

4 ай бұрын

@@jwolfe01234 He gets people in the right mindset, which is that ANY puzzle is possible for newer sudoku solvers, even the super hard ones, if you just take it one step at a time and record your deductions in a visually clear manner.

Bravo to Simon on the great explanation .

Why didn't Simon do birthdays today?! :O

4:55 "and look at what we're left in the corner" oh Simon you tease! you know we can't have a 3 in a circle leading to a three-cell arrow

Can't wait for Mark's video

Where's the video with Mark? 😅

Never anticipated seeing Simon here, but its a joy :)

Another great collaboration!

Yes, more of Simons sideview :D so different and refreshing!

In Sudoku (and the previous video), Simon and Mark have often called this S.E.T., which stands for Set Equivalence Theory. But did y'all know that the word "Set" in "Set Equivalence Theory" actually stands for something as well? It stands for "Set Equivalence Theory" 😋😋😋

@joeg451

4 ай бұрын

GNU's Not Unix

@TaohRihze

4 ай бұрын

I guess with what we learned, is that Equivalence Theory then is a zero sum game.

@poppyholly1759

4 ай бұрын

@@joeg451 WINE is not an emulator

@zadrik1337

4 ай бұрын

Set Seption!

@mentalcasanova6420

4 ай бұрын

It's turtles all the way down.

The collaboration we all know we needed.

Nice to see Simon on this channel

I used to just solve Sudoku as a puzzle. This was my first time seeing Sudoku approached mathematically like this. I am grateful for this. Still, I will enjoy solving Sudoku itself. thanks~~

WHAT? Simon in a Numberphile video? Never would have thunk it but now that he is, i am stunned it took this long.

I remember one of the earliest puzzles they looked at involving those two squares, which had the trick that unless you knew about that relationship, it was nigh impossible to crack.

In my experience, these "more complicated" sudoku just end up being much easier than a normal one. Adding more rules just means adding more constraints, so you have more ways to narrow down answers. Basically, you're adding more equations to your system, but not more variables. More to look at, but more straightforward answers. This one doesn't seem to follow that though.

@RichSmith77

4 ай бұрын

Adding new constraint rules allows the setters to create puzzles that have far fewer (or even no) starting digits, which means the difficulty can still be as hard as any standard sudoku. You should check out a video or two on the Cracking the Cryptic KZread channel. They have some incredibly inventive puzzles that are far more interesting than the vanilla sudoku puzzles you see in newspapers. They always provide a link to a web page where you can try the puzzle first. And if you get stuck, you can watch part of the video until you get unstuck.

A teaser towards the end of Mark with some brown paper - so more collab to come!

CTC on Numberphile!I love when my separate hyperfixations combine.Crossovers are the best

Great collab, and fun to see you exploring the math of games & puzzles! I'd love to see a video about using 'Hat Guessing' logic as a way to try and beat the game of Hanabi. Check out the paper called, 'How to Make the Perfect Fireworks Display' (although hanabi afficianados have come up with even more clever algorithms since them)

What the people over at Numberphile don't understand, is that between Simon and Mark, they can probably created a few dozen videos from all the secrets they know! ^_^

@numberphile

4 ай бұрын

The people at Numberphile DO understand! ;)

@TaohRihze

4 ай бұрын

I guess 45 or so.

@JormaTurkenburg

4 ай бұрын

Let's gooo @@numberphile and bring back HI! 😂

@SpyrosSolda

4 ай бұрын

​@@TaohRihzeShhhh that's a secret

@longwaytotipperary

4 ай бұрын

@@TaohRihze😁

I like the killer sudoku as the values of the numbers matter as opposed to them just being symbols. I do the ones with no starting clues in the cells, normally a couple of minutes at a time while I wait for a process to complete on some software I use at work.

This is the crossover I’ve been waiting for my whole life

Big fan of both channels

whoa I just realized this is Simon from Cracking the Cryptic!

This is great!

Is there a link for the video that Mark appears in? Or is that video coming out soon?

@numberphile

4 ай бұрын

Still to come.

@JeffKotz

4 ай бұрын

Thanks for the info.

@longwaytotipperary

4 ай бұрын

@@numberphilelooking forward to it!

Thank you!

The BEST youtube crossover/collab

"Let me start" is the best kind of phrase.

I'm sorry, this was the _first_ puzzle that person had set?! Edit: And I'm sorry, he's just turned 22 and he's doing his PhD? Wow, didn't know those folks actually existed.

@ladislavseps4801

4 ай бұрын

Define puzzle. It was first sudoku, but i would argue Phd thesis in mathematics is lot of puzzles and solutions..

@JohnADoe-pg1qk

4 ай бұрын

No, it wasn't. There is a comment from @mathguy_1243

@TheFrozenfish

4 ай бұрын

That's the level of complexity / difficulty / beauty a sudoku nowadays has to have in order to have a chance to appear on CTC! :D A few years ago with the appearance of the first Miracle Sudokus it was already magical, but today… my oh my… unless the setter intentionally makes the puzzle "approachable", you are going to have a very hard time trying to solve it - which many people like!

Damn no mention of chocolate cake, maverick, 3 in the corner or secret!

Wow! This is amazing! I like mathematics and sudoku!

I enjoyed watching both of Simon's videos, but this one made the Phistomefel Ring proof look like child's play (ha ha). Well done!

I could watch this chap (and maybe a friend of his) solve puzzles for hours. Beam!

I love hearing Brady's enthusiasm. I miss his 2 guys talking podcast with Grey.

I want more Simon videos here please.

Why is the bottom right square completely taken away when it is only cancelled out once with the arrow/green? The second part is still there

@msolec2000

4 ай бұрын

Before removal it is 2 red/1 green, if we remove both colours like the other cells in both sets, it is left with red at the circle of an arrow, which can now be cancelled with the green cells on the arrow proper

Thank you❤

6:33 I said "beautiful" at the same time! XD

That is fascinating.

I enjoy this collaboration

7:05 the thing I didn’t realize about attempting a “normal” solve here, is that what we saw is literally the entire puzzle! In other words, the entire puzzle starts “blank” and you have to fill in every single number! I thought maybe they removed the seed numbers for the purposes of this demonstration, but no… Every single number must be determined via the various rules, and whatever algebra/geometry/set theory you can come up with! (So yeah… Never gonna be solvable the “normal” way lol)

Brilliant

Excellent

the whole added dimension is like a really complicated version of that lights out game. seems like the color cancellations work similarly

Amazing. Starting solving the sudoku without putting in any numbers!

Mark: appears on Countdown Simon: appears on Numberphile Coming soon: CrackingTheCryptic help solve a Millennium Problem using sudoku

I thought this was a set of new rules, such that in all sudoku, the number on the bottom-right corner equals the sum of those three nearest green cells. It's not. I realise that I've no idea what this is about. So I'm going to get drunk, in this beautiful, cold, winter's Wednesday night. Thank you, Numberphile!

uff. i haven't seen a video of cracking the cryptic in ages. that's always a rabbit hole for me lol

No way a numberphile and crackingthecryptic collab

Simon didn’t even share the secret he only shares with his favorite people, unbelievable

Holy moly

The mathematics of solving single solution puzzles are fascinating. If you could do a video on other solution strategies that would be really cool. I want to see more interesting ways to solve things - that can be for more traditional math things too. Anyway thank you and happy 2024

@Pulsar77

4 ай бұрын

Search for 'The Sudokult Discussion' on youtube. It's a video series on advanced sudoku techniques by Rangsk and Philip Newman, two people who are very active in the Cracking The Cryptic community.

I literally just watch that previous video.

When Cracking The Cryptic does a crossover with Cruising The Cut, we'll finally have (CTC)²

Love seeing CtC on Numberphile! But where's a Numberphile video featuring Mark? We see that video clip at the end... C'mon, don't do him dirty like that!

As a programmer, what will this change in terms of algorithms to solve sudokus? The typical way is to recurse through the single sets looking for single solution cells and making guesses if none are found. Does that mean we should additionally check these cages from every orientation?

@mentalcasanova6420

4 ай бұрын

Take a look around at some of the solvers out there, they are getting incredibly advanced, though I'm unsure at the completeness of them compared to the many variant rules being developed every week.

Never expected this crossover.

mind blown

The laugh at the end is about exactly how I laughed when it clicked

I got Jumpstart by the first few seconds. It's Simon!!!!

SIMON!!! Whooooo

at 00:40 and 00:51 -- what are the sounds that I hear in the background? The graphic is changing, but via some sort of noisy machine?

I don't know why but the cages sound made me laugh so hard I almost choked on my water.

In Japan they call this puzzle "Latin Squares".

Does anyone know what this type of sudoku puzzle is called or how to find a website or app that has them? I kinda want to try it...

@_thth

4 ай бұрын

all @CrackingTheCryptic videos contain links to play along

@cloudshaveiteasy

4 ай бұрын

If you're looking for an app, CTC made one for most types of variant sudoku, with puzzles set by really talented constructors, it's linked under all of their videos!

@conorpappas3871

4 ай бұрын

And more concretely, this type of puzzle is called a "variant" sudoku, as it includes rule variants. This particular puzzle includes "arrow", "killer", and "renban" variants, and you can find apps and puzzle sets devoted to exploring those rules. Logic Masters Germany is a great resource to find puzzles of all types. Its the most popular forum on which puzzle constructors post their works. Finally, CTC has two books they have put out if you're looking to do some puzzles on paper.

@moytta122

4 ай бұрын

The site that publishes the puzzles is logic masters germany

@Scarybug

4 ай бұрын

Cracking the Cryptic has website links for every puzzle, and those sites have software to support all those sudoku variants with great tools for marking them as you solve.

The sound effects are brutal.

nathan: we're gonna make a sudoku, so a layman can understand my mathematical theory nathan: we're gonna add a very well known sudoku theory. what could go wrong

The start of something great

Where can we see the video that you filmed with Mark (pictured at 7:33)?

Hey Numberphile, Videos are really cool Please make videos regularly 00:45

Could someone explain how the square in the bottom right position was cancelled out by the green squares sitting under the arrow? As I understood it, that bottom right square had three instances of itself (one green and two red), while the green squares along the arrow would only sum to one of those instances.

@RichSmith77

4 ай бұрын

You're correct, it was two instances of red and one instance of green. But you can cancel out the one green instance with one of the two red instances, leaving a single red instance. That remaining red instance, in an arrow's circle, can then be cancelled with the digits in green along the arrow, the same as he did with the other arrows.

@delespai5592

4 ай бұрын

@@RichSmith77 Thanks!

Shouldn't we keep the bottom right cell in the red set at 5:22 if we remove it only once?

@DidierLoiseau

4 ай бұрын

It cancels out with the 3 green cells at the bottom right, covered by the arrow

@clausewitzianwar

4 ай бұрын

Just to be slightly more explicit than the other reply: We removed once because the cell was shaded both red and green, leaving one red shading left. We removed it the second time because the 3 arrow cells had the same sum as the 1 red cell.

@howmanyrobot

4 ай бұрын

Just to be even more explicit than the other replies: It was in the Green Set 1x and in the Red Set 2x. So we cancel them out and end up with it just being in the Red Set 1x. However it's also the circle on an Arrow Sudoku clue, and all three of the cells that make up the arrow are in the Green Set. By the rules of Arrow Sudoku, the digits on the arrow sum up to the digit in the circle, so by removing the arrow cells from the Green Set and the circle cell from the Red set, while the distribution of digits is unknown, the *sum total* of both sets is still the same.

@toto123456ish

4 ай бұрын

Thanks @DidierLoiseau @clausewitzianwar @howmanyrobot5652 It is perfectly clear now.

@NelleShadowblue

4 ай бұрын

I finally understood! We cancel out two red cells each with, one green cell located in the same position, and three green cells that are related to the location.

It's rare to see Simon in the wild. And it's gorgeous.

At the end theres a video trailer of Mark on the right, where is that video in the description, I haven't seen it!