Simon Anthony (from Cracking the Cryptic) shows us an incredible sudoku set by a mathematician. See the Phistomefel Ring at: • A Sudoku Secret to Blo...
More links & stuff in full description below ↓↓↓
Cracking the Cryptic: / crackingthecryptic
See Simon crack the puzzle at: • A Difference Of Square...
Another Numberphile video about Sudoku: • 17 and Sudoku Clues - ...
Thanks also to mathguy_12 (Nathan Hallmark) - see his research at: repository.flsouthern.edu/ite...
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I remember watching Simon's solve of this. It was beautiful watching him work it out.
Do you have a link to it?
@@owenroche5247 In the description.
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.
@@Nope-w3c probably should checked there first lol. Thanks!
@@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.
😄
Bobbins!
I think it was done in the 1st video though. If memory serves right.
@@OmateYayami Yours memory serves wrong.
That is because he is not with his favourite people. LOL
*after hours of complicated maths* : "Well, 3 can't go there"
Thats three in the corner, three in the spot light...
@@ingiford175 I was thinking about the exact same thing as you said when I was reading @sproins 's comment :))))
this is the way.
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.
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!!
Simon's joy is infectious. Can't ever get enough!
I'm disapointed... 2 videos about set theory and simon doesnt mention scrable bags once... :D
Bobbins
Without it, this video is as useful as a chocolate teapot.
They made a tiny cameo I believe, they were on the table on his left!
Simon did not have an orange Sharpie!
😄
This is just the kind of crazy shit I love seeing on KZhead. 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.
Thanks for the background! The origins of those extra rules was confusing, but now much less so, and I like the video even more! :)
And following those rules - applying logic to get the first number, is referred to as the "break in" of the puzzle.
@@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.
I'm confused. Is a variant required to do what he did in the video?
@@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).
Normal sudoku rules apply!
Every time Simon explains things, its fascinating, even if ive heard it before. Great video! 💗
Ditto! 😄
So happy to see this colab! Bloody love cracking the cryptic
One of my all-time favorite puzzles from the channel. Thanks for hi-lighting it!
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.
This was easily one of my favorite CtC puzzles. So glad to see this was featured!!
Bobbins!
hehehe
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!
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.
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
Well done Brady! Great Video combining CTC and Numberphile!
So cool to see 2 of my favorite channels teaming up!
Never expected to see Cracking the Cryptic on Numberphile, but this is great!
Love seeing Cracking the Cryptic on this channel!
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
Bravo to Simon on the great explanation .
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" 😋😋😋
GNU's Not Unix
I guess with what we learned, is that Equivalence Theory then is a zero sum game.
@@joeg451 WINE is not an emulator
Set Seption!
It's turtles all the way down.
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
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.
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.
@@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
@@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.
Where's the video with Mark? 😅
Can't wait for Mark's video
Never anticipated seeing Simon here, but its a joy :)
CTC on Numberphile!I love when my separate hyperfixations combine.Crossovers are the best
Another great collaboration!
A teaser towards the end of Mark with some brown paper - so more collab to come!
Yes, more of Simons sideview :D so different and refreshing!
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.
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 KZhead 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.
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)
Nice to see Simon on this channel
"Let me start" is the best kind of phrase.
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~~
6:33 I said "beautiful" at the same time! XD
whoa I just realized this is Simon from Cracking the Cryptic!
The collaboration we all know we needed.
Damn no mention of chocolate cake, maverick, 3 in the corner or secret!
WHAT? Simon in a Numberphile video? Never would have thunk it but now that he is, i am stunned it took this long.
This is the crossover I’ve been waiting for my whole life
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! ^_^
The people at Numberphile DO understand! ;)
I guess 45 or so.
Let's gooo @@numberphile and bring back HI! 😂
@@TaohRihzeShhhh that's a secret
@@TaohRihze😁
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.
Define puzzle. It was first sudoku, but i would argue Phd thesis in mathematics is lot of puzzles and solutions..
No, it wasn't. There is a comment from @mathguy_1243
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!
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.
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.
Big fan of both channels
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
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
I could watch this chap (and maybe a friend of his) solve puzzles for hours. Beam!
This is great!
The BEST youtube crossover/collab
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!
Wow! This is amazing! I like mathematics and sudoku!
Thank you!
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)
I enjoy this collaboration
Mark: appears on Countdown Simon: appears on Numberphile Coming soon: CrackingTheCryptic help solve a Millennium Problem using sudoku
the whole added dimension is like a really complicated version of that lights out game. seems like the color cancellations work similarly
That is fascinating.
Thank you❤
uff. i haven't seen a video of cracking the cryptic in ages. that's always a rabbit hole for me lol
Brilliant
Amazing. Starting solving the sudoku without putting in any numbers!
Excellent
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!
Simon didn’t even share the secret he only shares with his favorite people, unbelievable
Is there a link for the video that Mark appears in? Or is that video coming out soon?
Still to come.
Thanks for the info.
@@numberphilelooking forward to it!
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!
No way a numberphile and crackingthecryptic collab
When Cracking The Cryptic does a crossover with Cruising The Cut, we'll finally have (CTC)²
The laugh at the end is about exactly how I laughed when it clicked
I literally just watch that previous video.
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
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 got Jumpstart by the first few seconds. It's Simon!!!!
I don't know why but the cages sound made me laugh so hard I almost choked on my water.
Never expected this crossover.
In Japan they call this puzzle "Latin Squares".
Holy moly
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
mind blown
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?
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.
The sound effects are brutal.
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?
The start of something great
Hey Numberphile, Videos are really cool Please make videos regularly 00:45
Cover Terrance Tao’s sudoku analogue for translation tiling!!
It's rare to see Simon in the wild. And it's gorgeous.
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.
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.
@@RichSmith77 Thanks!
Can you do a video about solving the equation 1+1 (too hard for me to solve)
Where can we see the video that you filmed with Mark (pictured at 7:33)?
There’s Maverick at 2:23 !!
SIMON!!! Whooooo