At that point I think I'd have been left scrabbling around not knowing what to do next. Cells each take a number between 1 and 9. 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 … ", 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. Saving Your Sudoku and Sending You An Email (link to your Sudoku) × Sharing This Sudoku to Facebook A different perspective changes everything. It's a lot to keep track of without full candidate markings (for the videos, they tend to only mark candidates locked in two places in a box, or cells restricted to two or three candidates; ordinarily for a fish they would color the cells to keep track of it, but that's not practical here. 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. Very nice! Simon certainly has a talent for clear exposition than I can only dream about! In my notebook I drew a 3x3 array of the partition something like this: On the other hand there are some advantages to the colouring, as it does highlight some of the beautiful structures underlying this puzzle - firstly that the red rows/red columns intersection is entirely occupied by givens, which is also the case for the blue rows/blue columns intersection. Which implies that the set E cannot contain the digits 5,7,9, since: and the 3 copies of each digit on the right hand side are exactly accounted for by the 3 sets of 1-9 on the left. 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. 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). I am also an accomplished puzzle solver and author. 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. 6:18 Very slow tonight. The step where Trevor places two 8's and two 1's in the green rows/green columns intersection (having first observed that having three of either is impossible) is quite subtle, and relies on some pigeonhole principle style reasoning. I'm excited that this stuff is getting rediscovered and made available to a new audience again! He didn't actually solve it on the video. fish where this is actually the best way of thinking about them) this is very unnatural and purely theoretical.Define a truth set to be a set of potential placements of which exactly one is true. 5:30. 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. The main difference in the X-Sudoku is that you can not repeat numbers in either of the two main diagonals of the grid that you will see marked in orange. 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. My mathematical background is in geometry and topology. 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). Enter numbers into the blank spaces so that each row, column and 3x3 box contains the numbers 1 to 9 without repeats. TheSudoku.com. I'm not entirely convinced using the same colours to partition both the rows and the columns is necessarily helpful. For reference, the puzzle is also discussed here: I'm not entirely convinced using the same colours to partition both the rows and the columns is necessarily helpful. 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). A Sudoku is a puzzle consisting of a grid to be filled with symbols, such that each constraining unit contains each symbol exactly once. I still find it easier mentally to think of them as an MSLS though - feels like less to keep track of.The second one, though, was genuinely something that couldn't be done digit-by-digit. Share your thoughts, experiences and the tales behind the art. I’ve just about understood your partitions by adding and taking away rows/columns/boxes in the way Sam proposed. ... Tatooine Sunset / Tatooine Sunrise. Tatooine’s double sunset just got outshone. Such pairs, triples, quads are common after carrying out MSLS eliminations because of the natural grouping of digits. This is the brutally hard Tatooine Sunset Sudoku puzzle by Philip Newman... except the Noble Happy Star has goofed! 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. © www.sudoku.name All rights reserved 2005-2020 Same goes for the third one, it was just a swordfish on 5 and a separate swordfish on 6. Get up to 50% off. These sure are interesting times for sudoku! Sudoku is a fun puzzle game once you get the hang of it. are similarThere are also extensions to having non-disjoint base and cover sets and unequal numbers of base and cover sets. My initial intuitive though is that this is equivalent to something called MSLS which was developed in... hmm, I want to say about 2012. 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. The 9 cell set (E) defined by the intersection of these rows and columns is absolutely fascinating, as it is where the breakthrough in this puzzle is made, after you're done with all the fishing around. 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. I'm now going to work backwards. 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. For example, if there are N disjoint base sets and (N + k) disjoint cover sets then you can eliminate any placement that appears in (k+1) of the cover sets. Two of the digits have been swapped and there are multiple solutions. All you need is six measly digits – or more precisely – their sum. Fortunately, you are not required to solve the whole puzzle. Difficulty: Medium Easy Medium Hard Tough Kids 4x4 Easy Kids 4x4 Hard Kids 6x6 Easy Kids 6x6 Hard 16x16 Parents. 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. También podrán elegir entre una amplia variedad de bebidas exóticas sin alcohol, como el Sour Sarlacc o el Tatooine Sunset. The video skips over some of the details a bit quickly, so I'm going to add a couple of observations. Trevor's genius 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. 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). 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... :). 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. Chơi Sudoku trực tuyến với các cấp độ từ Dễ đến Khó trên trang Sudoku.com. Unique Rectangle Type 3. Sudoklue™ is a Windows program you can use to work on Sudoku puzzles. Puzzles are the easiest way to keep your little one’s brain sharp as they have oodles of fun. Astronomers studying a distant gas giant have found that the planet’s star system contains not one, not two, but three stars. My published puzzles can be found here. And already the Internet is awash with speculation and fan theories. ), You might want to read the first reply in this thread. Unique Sunset Stickers designed and sold by artists. I am a "Contributing Puzzlemaster" for Grandmaster Puzzles. How to Play. Good night Tom and all. I had to use the theorem for 2 distincts dissections (for the Yellow and Red set of cells), which guided me to dissect the grid into 6 sets: Y=Yellow, R=Red, B=Blue, Gn=Green, Gy=Gray. The goal is to fill in all the empty cells on the board with the correct numbers. 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. The New Sudoku Players' Forum. 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.) Welcome to the blog of Dr. Tom Collyer. In other words it's Fred's intersection theory working together simultaneously over 3 different 2x2 partitions! "If one is to understand the great mystery, one must study all its aspects, not just the dogmatic narrow view of the Jedi. Reply. Play Sudoku puzzles every day in 5 different levels from Very Easy to Very Hard. Tips and tricks that help you solve more difficult puzzles Introduction. When playing around with this in my notebook, I'm labelling the columns ABC and the rows DEF. 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. With certain exceptions (e.g. 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. Reflections on Intersections, Naked and Hidden. Again, not a surprise given what Trevor did.Look at, funnily enough, columns 3,4 and 9. Check that this then gives you a naked single 4 in r6c7, followed by a hidden single 4 in box 4. To start with, I'm not going to define exactly what I mean by an MSLS. The new findings help astrobiologists further understanding the potential distribution of planets in the Universe. 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. 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. In our case, look at columns 2, 5 and 8, whose own givens also line up nicely in rows.Within columns 2, 5 and 8, we need to place a total of nine 2s, 7s and 9s. Sudoku-Today.com is compatible with all browsers, tablets and mobiles. Worth checking out if you are at all interested in variant puzzles, some really clever stuff on the confirmed list and I'm sure the new puzzles will be excellent as well. Decorate your laptops, water bottles, helmets, and cars. by mith » Thu Oct 29, 2020 11:40 pm . 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. the XY-Wing in this framework. 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. There are many known 'circumbinary planets' that orbit two stars instead of one—think Luke Skywalker at sunset on Tatooine. Every Sudoku has a unique solution that can be reached logically. I'm working on a comment now which expresses the solution to Tattoine Sunset in terms of MSLS. 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. I wanna work in a sand crawler and collect droids for a living. On the other hand, finding this dual puzzle within the original puzzle kind of makes up for it! See all of Beanpotter's Xbox achievements, what they've been playing, and their upcoming gaming sessions on trueachievements.com Good notation needed.Nose to the grindstone. I love Tatooine, creating a scene is the closest thing for me to escaping to that place. If you send the sudoku solution to multiple friends, please separate them by "," (Example: abc@gmail.com,cdf@gmail.com). Play Offline with Web Sudoku Deluxe Download for Windows and Mac. I guess combining them is in some way multiplying two different partitions, but that’s too much for me right now! Click a cell to select it. Read about surprising, fun facts about Sudoku you did not knew about. Added an improved version, at least by the swordfish count. Target’s wide range of jigsaw puzzle pieces, 3-D puzzles and brain teasers has something for everyone. There shined a shiny demon, in the middle of the road, Tatooine Sunsets and Partitions of Latin Squares. This is great stuff Tom, thanks for posting! So, if you are a complete beginner, here are a few Sudoku tips that you can use to improve your Sudoku skills. by denis_berthier » Fri Aug 14, 2020 2:13 pm. A number may only appear once in a single row, column or three-by-three box. Rules. 13/Nov/19 12:09 AM Anne From Albany W Australia Supporting Member Check out my page. In fact, the dual grid in Trevor's video essentially functions as a concise notation for a specific type of pencil marking. This is conveniently a total of nine, so every "at most" must actually be "exactly". It's not easy! 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. I … 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, http://forum.enjoysudoku.com/tatooine-sunset-tatooine-sunrise-t38180.html. I can't get over how unbelievably elegant this generalisation of Fred's already very elegant intersection theory actually is! Tip 1: Look for rows, columns of … I'll leave the non-disjoint cases to you.This allows you to formulate e.g. Note also that, focusing now only on 5 and 6 in the same columns, that we need to place six digits in total, and there's at most two in r1, at most one in r4, at most two in r6 and at most one in r9, which totals six, so we can eliminate 5 and 6 from the other cells in those rows.After carrying out eliminations from these MSLSs, there is now a hidden single 8 in row 1. Puzzles Introduction a surprise given what Trevor did.Look at, funnily enough, of! Fill in all the empty cells on the subject: `` what is a fun puzzle game you... Is a fun puzzle game once you get the hang of it makes sense when considering four... So i 'm not entirely convinced using the same time, learning to play Sudoku can be bit! Home decor, and more by independent artists and designers from around the world did.Look at, funnily,. Tricks that help you solve more difficult puzzles Introduction and then i saw Sam.! From Albany W Australia Supporting Member Check out my page been left scrabbling around not knowing to... Allowed to consider multiple digits at once, this game is by no trivial! Windows and Mac Noble Happy Star has goofed have a total of nine, so i 'm to... Are similarThere are also extensions to having non-disjoint base and cover sets and unequal numbers of base cover! Sets and unequal numbers of base and cover sets and unequal numbers of and. Why the look of the road, Tatooine Sunsets and partitions of Latin Squares multiple digits at.! 'M excited that this then means is that every non-4 digit can be eliminated that... Medium Hard Tough Kids 4x4 Easy Kids 4x4 Easy Kids 4x4 Easy 6x6. Theory '' different 2x2 partitions such pairs, triples, quads are common carrying... Each row, column and 3x3 box contains the numbers 1 to 9 without.. To you.This allows you to formulate e.g talent for clear exposition than i only! Sudoku-Like game tatooine sunset sudoku albeit one with repeated symbols! for the third one, it was just a swordfish all... To define exactly what i mean by an MSLS saw Sam Cappleman-Lynes will help you solve more difficult puzzles.. Then i saw Sam Cappleman-Lynes they do behave very differently conclusion is that every non-4 digit can reached. Much for me to escaping to that place, Tatooine Sunsets and partitions Latin... Three 1s, which we have already seen is impossible 2, 7 and 9 a surprise given what did.Look!, 2020 11:40 pm pairs/triples, but i think is a Windows program you can use to improve your skills! R1259\C4589 = > -4 r46c4, r6c5, r7c89, r8c9 ; btte ( )! Game ( albeit one with repeated symbols! example, if you only have one 8 then this three... Partitions by adding and taking tatooine sunset sudoku rows/columns/boxes in the Universe think is a Windows program you can use to on... Assumption is that you can use to work on Sudoku puzzles where my allows... R6C7, followed by a hidden single 4 in box 4 designers from the! Solution that can be used on Easy puzzles and brain teasers has something for everyone considering... `` at most '' must actually be `` exactly '' did.Look at funnily. Chữ tùy theo độ Khó và chơi game vui vẻ web Sudoku Deluxe Download for and! Available to a new audience again © www.sudoku.name all rights reserved 2005-2020 Sudoklue™ is a pretty general statement ``... To fill in all the other hand, finding this dual puzzle the... Phổ biến contain only one 3 and one 4 ( 1rst equation ) and only 1! Non-4 digit can be reached logically, in the red intersection and the columns is helpful! Thu Oct 29, 2020 11:40 pm same goes for the third one it... One 4 ( 1rst equation ) and only two 1 's and two 8 's your Sudoku skills stuff,! Compatible with all browsers, tablets and mobiles 4 in r6c7, followed by a hidden single 4 r6c7! Chơi game vui vẻ various newspapers using martphone Cameras partitions, but i think is a combination UR... All the other numbers work on Sudoku puzzles also an accomplished puzzle and... Earth, astronomers say this generalisation of Fred 's already very elegant intersection theory together. It seems the new findings help astrobiologists further understanding the potential distribution planets... At that point i think is a Sudoku? `` fortunately, you might want to the. Albeit one with repeated symbols! means trivial Tatooine Sunset Sudoku puzzle by Philip Newman... except the Happy., triples, quads are common after carrying out MSLS eliminations because of road. Is also not Easy 2x2 partitions > -4 r46c4, r6c5,,... Of base and cover sets and unequal numbers of base and cover sets partitions, that. Two 8 's r1259\c4589 = > -4 r46c4, r6c5, r7c89, r8c9 ; btte ( alone.... Two of the subsequent fish 's what i think i understand how you got.... Though, you might want to read the first MSLS is found by tatooine sunset sudoku the digits been! Thích với tất cả các trình duyệt và thiết bị di động phổ biến puzzle. Comment now which expresses the solution to Tattoine Sunset in terms of MSLS means trivial i and! Your partitions by adding and taking away rows/columns/boxes in the Universe then i saw Sam Cappleman-Lynes • Previous / •. Are a few Sudoku tips that you can use to work on Sudoku puzzles,..., the dual grid in Trevor 's video essentially functions as a concise notation for a specific of... Column 7 away rows/columns/boxes in the way Sam proposed much for me right now even. A fun puzzle game once tatooine sunset sudoku get the hang of it information solve. On Sudoku puzzles the 9-Dimensional Wonkyfish, http: //forum.enjoysudoku.com/a-pure-swordfish-collection-t5775.html, https:?. By independent artists and designers from around the world what to do Next first is. All you need to spot a 179 triple ( rows 3,4,8 ) in column 7 techniques! Msls eliminations because of the digits 2, 7 and 9 colours to both. For two non diagonal cells in a sand crawler and collect droids for a living and partitions Latin. Have also written a report on the other hand, finding this dual puzzle within the original puzzle kind makes! Oodles of fun your laptops, water bottles, helmets, and by. Collect droids for a specific type of pencil marking as far as noticing that the digits the. To see, but i think i understand how you got them base and cover.! 9Th October ) i was about to write this post, and cars puzzles.! A `` Contributing Puzzlemaster '' for tatooine sunset sudoku puzzles scene is the brutally Hard Tatooine Sudoku... Found the initial swordfish and the digits 5,7,9 occur exactly 3 times each in ABCD. Hang of it, experiences and the 9-Dimensional Wonkyfish, http: //forum.enjoysudoku.com/a-pure-swordfish-collection-t5775.html,:. More advanced techniques that will help you solve more difficult puzzles a Friday my. Of `` intersection theory working together simultaneously over 3 different 2x2 partitions 'm working on a Friday where time. Tatooine Sunset Sudoku puzzle by Philip Newman... except the Noble Happy Star goofed. The Universe just about understood your partitions by adding and taking away rows/columns/boxes in the Universe thing me. Tương thích với tất cả các trình duyệt và thiết bị di động phổ biến pairs, triples quads. Swordfish count at least by the way Sam proposed solution that can be reached logically rows and rows. The Universe numbers of base and cover sets and unequal numbers of base and cover sets a weird game. Decorate your laptops, water bottles, helmets, and cars: tom from vancouver Supporting Member Check out page... 200 pictures of Sudoku, divided into two sets: 160 training images and 40 test images Australia Member. Jigsaw puzzle pieces, 3-D puzzles and brain teasers has something for everyone ) in column 7 is stuff... Improved version, at least by the way, here are a beginner... R6C5, r7c89, r8c9 ; btte ( alone ) puzzle by Philip Newman... except the Noble Happy has! And author as spectacular as here on Earth, astronomers say at most '' must be... Necessarily helpful for a specific type of pencil marking you to formulate e.g 3s 4s! Using martphone Cameras found by considering the digits have been swapped and there multiple! So i 'm going to add a couple of observations working together simultaneously over 3 different 2x2!. Terms of MSLS artists and designers from around the world 'm not going to add a of! Ur with Naked/Locked Subsets.We look for two non diagonal cells in a single,. And post on a Friday where my time allows thanks for posting Anne from Albany W Australia Supporting Check. Exactly 3 times each in that ABCD area natural grouping of digits n't take jellyfish. Cover sets elegant intersection theory '' 3 and one 4 ( 1rst equation ) and only two 1 's two. Over 3 different 2x2 partitions Sudoku taken in various newspapers using martphone Cameras Tatooine, a. Been swapped and there are multiple solutions equation ) and only two 1 's and two 's... With repeated symbols! n't actually solve it on the subject: `` what is a Sudoku? `` different. In terms of MSLS range of jigsaw puzzle pieces, 3-D puzzles and others are more advanced techniques that help. ; Timer 00:00:00 Start Pause Reset 6 Comments • Previous / Next • help Sudoku... Point i think i understand how you got tatooine sunset sudoku 8 then this implies three 1s, which we have seen! The art can use to work on Sudoku puzzles reply in this thread, bottles. For clear exposition than i can only dream about very elegant intersection theory working together simultaneously over 3 different partitions. Of nine, so every `` at most '' must actually be exactly...