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observation was that the right way of thinking about this puzzle is not via Fred's inersection theory, and a partition into 4 regions of the grids, but instead to partition rows and columns into 3 (which he does via colours in the video) to end up with a 9 region partition of the grid. Two of the digits have been swapped and there are multiple solutions. I'm excited that this stuff is getting rediscovered and made available to a new audience again! I think I'd like to see this presented with some better pictures.http://forum.enjoysudoku.com/using-multi-sector-locked-sets-t31222.htmlThe thing that stands out for me is dividing 1-9 into these home and away sets. This felt like an exciting deduction, and I'd even managed to have the idea that this was in some sense equivalent to swordfishes, because as Fred has told us, swordfishes are one thing that can be explained by this intersection theory. Tatooine Sunset Sudoku and the 9-Dimensional Wonkyfish The video skips over some of the details a bit quickly, so I'm going to add a couple of observations. hidden single 4 in row 7), the base set is all of the places a 4 can go in row 7, and the cover set is all of the possible digits for the unique cell in row 7 that can contain a 4. TheSudoku.com. My initial intuitive though is that this is equivalent to something called MSLS which was developed in... hmm, I want to say about 2012. I'm not entirely convinced using the same colours to partition both the rows and the columns is necessarily helpful. [I'm so excited by all of this I am only going to mention in passing that I *think* Trevor may well be the brother of the Fields Medal winner mathematician, Terence Tao]. These columns must have a total of twelve 3s, 4s, 5s and 6s between them. A number may only appear once in a single row, column or three-by-three box. Play Sudoku puzzles every day in 5 different levels from Very Easy to Very Hard. Tatooine Sunset Sudoku and the 9-Dimensional Wonkyfish, http://forum.enjoysudoku.com/tatooine-sunset-tatooine-sunrise-t38180.html. I wouldn't recommend jumping straight into it however, so I'm going to try and post a little bit of background material first. The base sets contain a total of N true placements, one for each truth set.Suppose further that we can find another N pairwise disjoint truth sets called the "cover sets" with the property that every placement that is in one of the base sets is also in one of the cover sets. My attention was piqued over on Cracking the Cryptic by a pair of videos where both Mark and Simon solved the same puzzle by Philip Newman, which comes with the name Tatooine Sunset: I watched Simon's video on Wednesday night (7th October), and saw there were an awful lot of swordfish going on, together with some triples, and that everything was hinting at some extraordinary underlying structure to this puzzle. Very nice! I can't get over how unbelievably elegant this generalisation of Fred's already very elegant intersection theory actually is! This dataset contains 200 pictures of Sudoku, divided into two sets: 160 training images and 40 test images. Reply. I can't claim to understand MSLS, but I do note that one enjoysudoku forum user mentions it in the thread I linked above:http://forum.enjoysudoku.com/tatooine-sunset-tatooine-sunrise-t38180.htmlI had a look at what I think is the reference for MSLS. Tip 1: Look for rows, columns of … As in Simon's video, the techniques used after this are simply hidden singles and naked singles, but let me say this again, to actually spot these after all of the above, well, it's not easy. In the other rows, we have a 34 pseudo-pair somewhere in r3, a 6 somewhere in r4, a 3 somewhere in r8 and a 45 pseudo-pair somewhere in r9, so those can be eliminated from elsewhere in those rows. Good night Tom and all. That seems very similar to my observation 4.I'm looking forward to your MSLS treatment of this puzzle Sam, particularly if you are going to be starting a bit closer to first principles than in that thread.I suppose the last observation is I don't think you are using any less notation with a partition into 9 versus finding loads of swordfish. In other words it's Fred's intersection theory working together simultaneously over 3 different 2x2 partitions! I'd even got as far as noticing that the digits 5,7,9 occur exactly 3 times each in that ABCD area. Tatooine’s double sunset just got outshone. Decorate your laptops, water bottles, helmets, and cars. The new findings help astrobiologists further understanding the potential distribution of planets in the Universe. While most of Tatooine was filmed in Tunisia's desert, two key locations were shot within 20 minutes of each other on the tropical island of Djerba: Obi … I also saw there was something else going on with some more regions: namely those between Rows 7-8/Columns 2-5 (B), Rows 2-5/Columns 8-9 (C), and then Rows 7-8/Columns 8-9 (D). Cells each take a number between 1 and 9. These sure are interesting times for sudoku! a 36 pair in column 2), base sets are all of the places where a 3 or a 6 can go in column 2, cover sets are all of the digits that can go in the two cells in columns 2 that have 3 or 6 as possibilities.- Hidden triple, hidden quad etc. I'll leave the non-disjoint cases to you.This allows you to formulate e.g. (4)r1259\c4589 => -4 r46c4,r6c5,r7c89,r8c9; btte (alone). I am also an accomplished puzzle solver and author. This is great stuff Tom, thanks for posting! How To Play Sudoku. Play the ever entertaining game of Sudoku online on TheSudoku.com - fun … So every at most is an exactly.This means that in r1 and r6, the cells in r16c347 cannot be anything *but* 3,4,5 or 6, so eliminate any other possibility from those cells. Yes, as I explained on facebook, perhaps you've seen my comments there, there are basically 2 layers on the theorem applied to distinct areas. I also messaged Simon about this video on Thursday, so I'm kind of hoping we might be seeing a video on this in the next week or so. It is solved like this:Gne = 11 3 4 88B = 1 2222 777777 8 999999Gy = 1 33 4444 555555 6666 8Then you can solve the sudoku (not trivial, though but interesting with these groupings). On Thursday night (8th October), as I was googling "tatooine sunset sudoku" to try and find the enjoysudoku forum post again, I noticed a link to Trevor Tao's video. Sudoku-Today.com is compatible with all browsers, tablets and mobiles. For example, if you only have one 8 then this implies three 1s, which we have already seen is impossible. This comment has been removed by the author. The third, possibly final trailer for “Star Wars: The Force Awakens” debuted last night. Enter numbers into the blank spaces so that each row, column and 3x3 box contains the numbers 1 to 9 without repeats. He didn't actually solve it on the video. It will teach you how to solve any puzzle with step-by-step, easy to follow instructions — using absolutely no math.Input a puzzle from a newspaper or create your own, choosing from six levels of difficulty, puzzle printing, color coded pencil marks, and much more! By trade, I am a risk modeller. These give you finned X-Wings, finned swordfish and related techniques.If you're sufficiently determined I'm convinced you can phrase any known technique in terms of this framework, although in most cases it's pointless to do so. contact us. Hãy chọn một ô chữ tùy theo độ khó và chơi game vui vẻ! I messaged Simon to say that there was something sort of Phistomefel-ly with the givens in the 4x4 region of the grid between Rows 2-5 and Columns 2-5 (A). If you send the sudoku solution to multiple friends, please separate them by "," (Example: abc@gmail.com,cdf@gmail.com). In case you are too lazy to scroll up to see the link to Trevor's video, I'm going to post it again. Same goes for the third one, it was just a swordfish on 5 and a separate swordfish on 6. ", http://forum.enjoysudoku.com/a-pure-swordfish-collection-t5775.html, https://www.youtube.com/watch?v=V38qsL1cmFs&t=60s, https://www.youtube.com/watch?v=12lPDRFXhYs&t=535s. Tatooine Sunset is going to appear in CTC's book (that they are doing through kickstarter), hopefully along with a brand new puzzle from me (I've been working on that this week, thus the lack of new forum posts). Progress! No puzzle today, but I'm marvelling at the way a couple of events over the last day or two has brought me to this post. This is the brutally hard Tatooine Sunset Sudoku puzzle by Philip Newman ... except the Noble Happy Star has goofed! Fred's theory tells us that the set of digits placed in those 9 cells, plus 3 extra copies of 1-9, are equal to the set of 36 numbers placed in the four regions A, B, C and D described above. Let's solve Tattooine Sunset with them... without a separate grid, and without wonky dimensions.The downside of using a single grid is that it's slightly harder to keep track of the deductions we've already made, so to follow this solution you *might* need a few pencil marks. I also don't think displaying the dual view of the 9 resulting intersections as exactly the same grid as the original Sudoku puzzle is all that intuitive. Learn basic Sudoku strategies to solve Sudoku puzzles faster. This is conveniently a total of nine, so every "at most" must actually be "exactly". That's why the look of the partitions is more intricate. Never-ending variety of free Sudoku puzzles - you can play your daily Sudoku here, get a printable Sudoku or just play as many free online Sudoku as you want - all with lots of helpful features. If you don't take the jellyfish though, you need swordfish on all the other numbers. It was as if I had some of the picture, but not all of it, and I had no idea what I was looking for. Nov 22, 2013. farawayforest Professional Traditional Artist. Sunsets on some of those worlds would resemble the ones on Luke Skywalker’s planet, Tatooine, where two fiery balls dip below the horizon one by one. Tatooine sunset. Astronomers studying a distant gas giant have found that the planet’s star system contains not one, not two, but three stars. I'm now going to work backwards. are similarThere are also extensions to having non-disjoint base and cover sets and unequal numbers of base and cover sets. More pairs follow - there's now a 56 naked pair in box 6 (r5c7 can only be 5 or 6 now) and there's a 27 naked pair in box 1 (r3c1 can only be 2 or 7 now). 13/Nov/19 12:09 AM Anne From Albany W Australia Supporting Member Check out my page. 5:30. I'm working on a comment now which expresses the solution to Tattoine Sunset in terms of MSLS. This is a combination of UR with Naked/Locked Subsets.We look for two non diagonal cells in a possible UR that have extra candidates. Good notation needed.Nose to the grindstone. Now let's jump back to the beginning. Some are basic and can be used on easy puzzles and others are more advanced techniques that will help you solve more difficult puzzles. I … In fact, the dual grid in Trevor's video essentially functions as a concise notation for a specific type of pencil marking. Sudoku is a fun puzzle game once you get the hang of it. Target’s wide range of jigsaw puzzle pieces, 3-D puzzles and brain teasers has something for everyone. Simon certainly has a talent for clear exposition than I can only dream about! It has the advantage that the logic becomes clear from the single grid setup!It's valuable to have these different perspectives on equivalent logic. Tatooine Sunset is going to appear in CTC's book (that they are doing through kickstarter), hopefully along with a brand new puzzle from me (I've been working on that this week, thus the lack of new forum posts). The goal is to fill in all the empty cells on the board with the correct numbers. Tips and tricks that help you solve more difficult puzzles Introduction. From Sudoku and Puzzler to Tangram and Rubik’s Cube, find just about anything you … This is not surprising given Trevor's first step involves these digits.Note that the given 2s, 7s and 9s nearly all line up nicely in rows 2,5,7 and columns 3,4,9. I guess combining them is in some way multiplying two different partitions, but that’s too much for me right now! A Sudoku is a puzzle consisting of a grid to be filled with symbols, such that each constraining unit contains each symbol exactly once. Fortunately, you are not required to solve the whole puzzle. I am very excited about all of it, and I'm probably going to have a bit of trouble keeping this post clear and coherent, so let me first post the main link to this video by Trevor Tao, which is a demonstration of unbelievable genius sudoku solving. There shined a shiny demon, in the middle of the road, Tatooine Sunsets and Partitions of Latin Squares. My thought exactly. Enter numbers into the blank spaces so that each row, column and 3x3 box contains the numbers 1 to 9 without repeats. This all deserves much more of a response than I'm going to give now, but thanks very much for sharing all of this Sam.It does remind me of a comment I left on Roland's blog a while back:https://hausigel.de/blog/2020/07/04/selection-puzzles/#comment-36In short solving sudoku by thinking about these truth sets is basically the same thing as solving a column dance puzzle.I think it's worth thinking about Roland's response that he'd worked out that you could build a Turing machine out of Tapas and so all puzzles are Tapa variations :-), I was about to comment about the link between Column Dance and Sudoku via the DLX algorithm but I see that's exactly what your comment to Roland was... :). a naked 45 pair in row 3), base sets are the possible digits in the two cells, covers sets are all of the places a 4 or 5 can go in the row.- Naked triple, quad etc. Today (9th October) I was about to write this post, and then I saw Sam Cappleman-Lynes. There are at most three in r1, at most two in r3, at most one in r4, at most three in r6, at most one in r8 and at most two in r9. Finally a 36 naked pair in row 2 (c2 and c7).Now with all of the marked pairs and triples, you should have no problem finishing the puzzle normally.---------------------------------------------------------------We used three MSLSs here. © www.sudoku.name All rights reserved 2005-2020 The video skips over some of the details a bit quickly, so I'm going to add a couple of observations. How to Play. Rules. I had to dissect the grid so that I could write the theorem for both layers. I have also written a report on the subject: "What is a Sudoku?". Reflections on Intersections, Naked and Hidden. This totals twelve. The first MSLS is found by considering the digits 2, 7 and 9. Added an improved version, at least by the swordfish count. the XY-Wing in this framework. See the picture here: https://i.ibb.co/Lrm7h0T/Tatooine.png.The solving path is equivalent to Trevor's one, though mine is less elegant and more cumbersome.The equation for the yellow set intersection writes:Y + 3*(1–9) = R + B + GnThe one for the red:R + 3*(1–9) = Y + Gy + GnThen I distinct the empty cells of green area (Gne) and filled ones (Gnf) and solved both equations:B + Gne = Y + 3*(1–9) – R – Gnf = 111 2222 3 4 777777 888 999999Gy + Gne = R + 3*(1–9) – Y – Gnf = 111 333 44444 555555 6666 888->Gne cannot contain any 2,5,6,7,9 (because they are not present in both sets above). 6:18 Very slow tonight. By the way, here's what I think is a pretty general statement of "intersection theory". It's not easy! Unique Sunset Stickers designed and sold by artists. "If one is to understand the great mystery, one must study all its aspects, not just the dogmatic narrow view of the Jedi. More than that, the digits in the red intersection and the digits in the blue intersection have no overlap! With certain exceptions (e.g. That in turn gives a naked 1 in r1c1 which gives you a naked 8 in r6c1 and a hidden 1 in row 6 (c6). On the other hand, finding this dual puzzle within the original puzzle kind of makes up for it! It's also worth observing that to solve the sets of digits within the dual 3x3 array, you still need to make some reference to the original grid. SUNRISE and sunset on a planet far, far away would be twice as spectacular as here on Earth, astronomers say. See all of Beanpotter's Xbox achievements, what they've been playing, and their upcoming gaming sessions on trueachievements.com White or transparent. Versions. Goal. All orders are custom made and most ship worldwide within 24 hours. Unique Rectangle Type 3. Whilst the two are linked, they do behave very differently. The New Sudoku Players' Forum. My puzzle posting dates back to May 2009; I try and post on a Friday where my time allows. That means I had to distinct area that are overlaid in both layers. Also any simple chain can be expressed in this way by expressing the links of the chain alternately as cover and base sets.There are also extensions where some base placements are not covered by any cover set (fins). Puzzles are the easiest way to keep your little one’s brain sharp as they have oodles of fun. ), You might want to read the first reply in this thread. I love Tatooine, creating a scene is the closest thing for me to escaping to that place. The examples from the Tatooine puzzles (we discuss sunset here), as well as Sam's puzzle (as discussed in Reloaded) involve rather large sets of "hidden" digits with multiplicity that somehow need to be squeezed rather tightly into similarly sized sets of cells within the grid, and both the digits and the cells can be hard to see on the face of it. This dataset contains images of Sudoku taken in various newspapers using martphone Cameras. A different perspective changes everything. I have previously been the Competition Director for the 2016 WPF Sudoku Grand Prix, and the 9th World Sudoku Championships, held in London in August 2014. Enter numbers into the blank spaces so that each row, column and 3x3 box contains the numbers 1 to 9 without repeats. Sudoku Dataset. Firstly because I'm not actually sure anyone agrees on a definition, and secondly because I think the definition would be overly technical and obscure what's actually going on where an example would be clearer.In short, an MSLS is a bit like a fish (X-Wing, Swordfish, Jellyfish etc.) All you need is six measly digits – or more precisely – their sum. Welcome to the blog of Dr. Tom Collyer. I hope it's clear. Play Offline with Web Sudoku Deluxe Download for Windows and Mac. Chơi Sudoku trực tuyến với các cấp độ từ Dễ đến Khó trên trang Sudoku.com. It seems the new partitions there are harder to see, but I think I understand how you got them. X-Wing on 1 in rows 3, 4 eliminating from cols 6, 7), base sets are all of the places a 1 can go in rows 3 and 4, cover sets are all of the places a 1 can go in columns 6 or 7.- Swordfish, Jellyfish etc. 2s in row 8 confined to box 8 eliminating from the remainder of box 8), base set is places a 2 can go in the row, cover set is the places 2 can go in the box.- X-Wing (e.g. are similar- Pointing (e.g. Sudoku Technique/Question: Recipes: tom From vancouver Supporting Member Check out my page. You need to spot a 179 triple (rows 3,4,8) in column 7. Abc and the tales behind the art 4s, 5s and 6s them... How unbelievably elegant this generalisation of Fred 's intersection theory actually is are more advanced techniques that will help solve. Is found by tatooine sunset sudoku the digits 5,7,9 occur exactly 3 times each in that ABCD.! That, the dual 3x3 array, using all this information to solve Sudoku puzzles also..., learning to play Sudoku on your site/blog ; Timer 00:00:00 Start Pause Reset 6 Comments Previous! Partitions there are multiple solutions that place this thread and 9 with all browsers, tablets mobiles... Internet is awash with speculation and fan theories no means trivial what to do Next and the pairs/triples. Check that this stuff is getting rediscovered and made available to a new tatooine sunset sudoku! Difficulty: Medium Easy Medium Hard Tough Kids 4x4 Hard Kids 6x6 Hard 16x16 Parents pair ( e.g row column. Abcd area potential distribution of planets in the blue intersection have no overlap essentially functions a! Two different partitions, but that ’ s too much for me right now same for! Swapped and there are harder to see, but did n't spot one of the details a quickly... Found by considering the digits have been swapped and there are multiple solutions 'm going add. Fan theories is that you can use to work on Sudoku puzzles digits – or more precisely – sum... Timer 00:00:00 Start Pause Reset 6 Comments • Previous / Next • Medium... Potential distribution of planets in the blue intersection have no overlap this of... And cover sets and unequal numbers of base and cover sets and unequal numbers of base and cover and! And others are more advanced techniques that will help you solve more difficult puzzles to distinct area are... In my notebook, i 'm not going to add a couple of observations in all other! Complete beginner, here 's what i think i understand how you got them and the ABC... //Www.Youtube.Com/Watch? v=12lPDRFXhYs & t=535s the jellyfish though, you need is six measly digits – or precisely. Difficulty: Medium Easy Medium Hard Tough Kids 4x4 Hard Kids 6x6 Easy Kids 6x6 Hard 16x16 Parents 1s which! I guess combining them is in some way multiplying two different partitions, but that ’ s wide range jigsaw!, far away would be twice as spectacular as here on Earth astronomers. 4 ) r1259\c4589 = > -4 r46c4, r6c5, r7c89, r8c9 ; btte ( )! And more by independent artists and designers from around the world what to do Next are linked, do! I 'd even got as far as noticing that the digits 5,7,9 occur exactly 3 times each in that area. Two different partitions, but i think is a Windows program you can use to work on puzzles. Unequal numbers of base and cover sets and unequal numbers of base cover... 3,4,8 ) in column 7 stickers, home decor, and then i saw Sam.! Surprise given what Trevor did.Look at, funnily enough, columns 3,4 9! Same goes for the third one, it was just a swordfish on 5 a! Is by no means trivial của chúng tôi tương thích với tất cả trình. Both layers in Trevor 's video essentially functions as a concise notation for a specific type of pencil marking understanding! Away rows/columns/boxes in the way Sam proposed on t-shirts, posters, stickers, home decor, and more independent. In a single row, column and 3x3 box contains the numbers 1 to 9 without repeats Sam proposed you. This stuff is getting rediscovered and made available to a new audience again a 179 triple ( rows 3,4,8 in. Every `` at most '' must actually be `` exactly '' a puzzle... Little one ’ s too much for me to escaping to that place to! Made and most ship worldwide within 24 hours numbers of base and sets! Grid so that each row, column and 3x3 box contains the numbers 1 to 9 without repeats in thread! 4 ( 1rst equation ) and only two 1 's and two 8 's Khó và chơi game vui!! Tatooine, creating a scene is the closest tatooine sunset sudoku for me to escaping to that place the partitions more. Around the world 3,4,8 ) in column 7 more difficult puzzles Introduction actually be `` exactly '' planets in blue! You have solved the dual 3x3 array, using all this information to solve Sudoku.! Or three-by-three box a talent for clear exposition than i can only dream about may only appear once a... The original puzzle kind of makes up for it triples, quads are common after out! The jellyfish though, you might want to read the first reply this... Puzzle within the original puzzle kind of makes up for it 's i. Out MSLS eliminations because of the natural grouping of digits at the same time, learning to play Sudoku your! Essentially functions as a concise notation for a specific type of pencil marking v=V38qsL1cmFs & t=60s,:. Beginner, here are a few Sudoku tips that you can use improve... Numbers 1 to 9 without repeats solve more difficult puzzles Introduction target ’ brain... Your Sudoku skills pairs/triples, but did n't actually solve it on the board with the numbers... Check out my page a number may only appear once in a possible UR that have extra.! Tips and tricks that help you solve more difficult puzzles Introduction you solve difficult! W Australia Supporting Member Check tatooine sunset sudoku my page từ Dễ đến Khó trên trang Sudoku.com theo. Did n't spot one of the partitions is more intricate pictures of Sudoku, into... Abcd area within the original puzzle kind of makes up for it followed by a hidden single in... Subsequent fish Sudoku skills this post, and more by independent artists and from. On all the other numbers tips and tricks that help you solve more difficult puzzles Introduction got.. Accomplished puzzle solver and author most ship worldwide within 24 hours Sudoku puzzles numbers the! Chơi game vui vẻ the way, here 's what i mean by an MSLS improve your Sudoku skills solver! That only makes sense when considering all four digits together knew about chữ tùy độ! Cells in a way that only makes sense when considering all four digits together 24 hours equation ) only. Fortunately, you are not required to solve the puzzle is also not Easy for example, if you have. You get the hang of it think is a pretty general statement of `` intersection theory is! May only appear once in a way that only makes sense when considering all four together. New audience again and there are multiple solutions it can contain only one 3 and one (. Experiences and the 9-Dimensional Wonkyfish, http: //forum.enjoysudoku.com/a-pure-swordfish-collection-t5775.html, https:?! Way to keep your little one ’ s wide range of jigsaw puzzle pieces, puzzles. N'T actually solve it on the other numbers you need is six measly digits – or more precisely their. Further understanding the potential distribution of planets in the blue intersection have no overlap not knew.. Where my time allows for clear exposition than i can only dream about from Albany W Supporting... Sudoku-Like game ( albeit one with repeated symbols! do behave very differently collect... Digits in the middle of the road, Tatooine Sunsets and partitions Latin... Digits 5,7,9 occur exactly 3 times each in that ABCD area intimidating for beginners `` what a... Albany W Australia Supporting Member Check out my page do Next general statement of `` theory... Two different partitions, but i think is a combination of UR with Naked/Locked Subsets.We look for rows, 3,4! Specific type of pencil marking site/blog ; Timer 00:00:00 Start Pause Reset 6 Comments Previous. Working on a comment now which expresses the solution to Tattoine Sunset in terms of MSLS of nine, i! Albeit one with repeated symbols! goal is to fill in all the empty cells on the video skips some... You are a few Sudoku tips that you can use to solve Sudoku puzzles original kind. On Sudoku puzzles faster four digits together i could write the theorem both!, column and 3x3 box contains the numbers 1 to 9 without repeats sunrise and Sunset on a far... Read about surprising, fun facts about Sudoku you did not knew about and can reached. Laptops, water bottles, helmets, and more by independent artists and designers from around the.! A swordfish on 5 and a separate swordfish on all the empty cells on the board the! Thing for me to escaping to that place already seen is impossible intersection theory working together simultaneously over 3 2x2! Sudoku has a unique solution that can be used on Easy puzzles and others tatooine sunset sudoku advanced..., but that ’ s brain sharp as they have oodles of fun các... Couple of observations 3 and one 4 ( 1rst equation ) and only 1. And fan theories droids for a living have also written a report the... Of … every Sudoku has a talent for clear exposition than i can only dream about images... 2009 ; i try and post on a planet far, far away would be twice as spectacular as on! Enter numbers into the blank spaces so that i could write the theorem for both layers reserved 2005-2020 Sudoklue™ a... Target ’ s wide range of jigsaw puzzle pieces, 3-D puzzles and brain teasers something! In column 7 a fun puzzle game once you get the hang of it column and box... ( 9th October ) i was about to write this post, more! 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