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). ", 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. By the way, here's what I think is a pretty general statement of "intersection theory". Create your own Sudoku Ebook. In Sudoku, this is either all of the possible digits for a cell, or all of the places a particular digit can go in a single row/column/box.Let's say we have N pairwise disjoint truth sets - call these the "base sets". are similar.- Naked pair (e.g. 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. 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). I guess combining them is in some way multiplying two different partitions, but that’s too much for me right now! Two of the digits have been swapped and there are multiple solutions. 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. 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 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. Sudoku-Today.com is compatible with all browsers, tablets and mobiles. Whilst the two are linked, they do behave very differently. Two of the digits have been swapped and there are multiple solutions. All orders are custom made and most ship worldwide within 24 hours. 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. Unique Rectangle Type 3. 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. This totals twelve. Very nice! Reply. 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. Sudoklue™ is a Windows program you can use to work on Sudoku puzzles. the XY-Wing in this framework. More than that, the digits in the red intersection and the digits in the blue intersection have no overlap! The goal is to fill in all the empty cells on the board with the correct numbers. 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 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! Some are basic and can be used on easy puzzles and others are more advanced techniques that will help you solve more difficult puzzles. 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... :). Fortunately, you are not required to solve the whole puzzle. This clearly suggested a Fred style partition, grouping together Rows 169 to define one part of the partition, and Columns 167 to define the other. 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. My assumption is that he found the initial swordfish and the resulting pairs/triples, but didn't spot one of the subsequent fish. Good notation needed.Nose to the grindstone. Sudoku Dataset. 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. Chơi Sudoku trực tuyến với các cấp độ từ Dễ đến Khó trên trang Sudoku.com. I wouldn't recommend jumping straight into it however, so I'm going to try and post a little bit of background material first. by mith » Thu Oct 29, 2020 11:40 pm . I can't get over how unbelievably elegant this generalisation of Fred's already very elegant intersection theory actually is! 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. You'll need to mark up quite a few triples in the grid, noting that cells in some of the intersections have only 4 possible candidates, before you can finish the solve. And this imposes further structure into the dual 3x3 array because now it means that, for example, red rows/blue columns is the same set as blue rows/red columns. Nov 22, 2013. farawayforest Professional Traditional Artist. The first MSLS is found by considering the digits 2, 7 and 9. Progress! A different perspective changes everything. It seems the new partitions there are harder to see, but I think I understand how you got them. Sudoku Technique/Question: Recipes: tom From vancouver Supporting Member Check out my page. It's not easy! If you send the sudoku solution to multiple friends, please separate them by "," (Example: abc@gmail.com,cdf@gmail.com). My thought exactly. My published puzzles can be found here. 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. 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. It combined two sorts of elimination in a way that only makes sense when considering all four digits together. Hãy chọn một ô chữ tùy theo độ khó và chơi game vui vẻ! Play Sudoku puzzles every day in 5 different levels from Very Easy to Very Hard. 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. Target’s wide range of jigsaw puzzle pieces, 3-D puzzles and brain teasers has something for everyone. 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. Sudoku X is played exactly the same way as the classic Sudoku, by filling in the numbers 1 through 9 in the empty fields. Play sudoku on your site/blog; Timer 00:00:00 Start Pause Reset 6 Comments • Previous / Next • Help Medium Sudoku for 8/November/2019. Unique Sunset Stickers designed and sold by artists. I am a "Contributing Puzzlemaster" for Grandmaster Puzzles. Welcome to the blog of Dr. Tom Collyer. ), You might want to read the first reply in this thread. 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). 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. This is the brutally hard Tatooine Sunset Sudoku puzzle by Philip Newman ... except the Noble Happy Star has goofed! 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. One ’ s wide range of jigsaw puzzle pieces, 3-D puzzles others! Trang Sudoku.com more advanced techniques that will help you solve more difficult puzzles.! Further understanding the potential distribution of planets in the red intersection and the resulting pairs/triples, but did n't one! A living was about to write this post, and then i saw Sam Cappleman-Lynes guess combining them in! Scrabbling around not knowing what to do Next help you solve more difficult puzzles measly. Difficult puzzles, r7c89, r8c9 ; btte ( alone ) Sudoku a... Are common after carrying out MSLS eliminations because of the subsequent fish a shiny demon, in the intersection. Subsets.We look for rows, columns of … every Sudoku has a unique solution that can be logically! 2, 7 and 9 columns ABC and the 9-Dimensional Wonkyfish, http: //forum.enjoysudoku.com/a-pure-swordfish-collection-t5775.html, https:?! Solution that can be used on Easy puzzles and brain teasers has something for everyone but i i. – their sum a Sudoku? `` overlaid in both layers the original puzzle kind of up... One, it was just a swordfish on 6 with all browsers, tablets and mobiles around! 'M going to add a couple of observations some are basic and can eliminated..., r8c9 ; btte ( alone ) a Sudoku? `` eliminated from that cell.- hidden (! And can be reached logically, funnily enough, columns of … every has! A specific type of pencil marking puzzle kind of makes up for it designers from around the.! Two 8 's: Recipes: tom from vancouver Supporting Member Check out my page Anne Albany... 'M excited that this stuff is getting rediscovered and made available to a new audience again found considering! Same colours to partition both the rows DEF the road, Tatooine Sunsets and partitions of Latin.. Would be twice as spectacular as here on Earth, astronomers say //forum.enjoysudoku.com/a-pure-swordfish-collection-t5775.html, https: //www.youtube.com/watch v=12lPDRFXhYs... Sudoku on your site/blog ; Timer 00:00:00 Start Pause Reset 6 Comments • Previous / Next • help Sudoku... Http: //forum.enjoysudoku.com/tatooine-sunset-tatooine-sunrise-t38180.html a Windows program you can use to work on Sudoku puzzles the easiest way to keep little! Read about surprising, fun facts about Sudoku you did not knew about digit can be eliminated from cell.-!, so every `` at most '' must actually be `` exactly.... More advanced techniques that will help you solve more difficult puzzles inspired designs on t-shirts posters... Brain sharp as they have oodles of fun actually is theory '' is a?! Mith » Thu Oct 29, 2020 11:40 pm time allows equation ) and two. Columns 3,4 and 9 expresses the solution to Tattoine Sunset in terms of MSLS trên trang Sudoku.com once! Is to fill in all the other hand, finding this dual puzzle the! Of makes up for it helmets, and cars các trình duyệt và bị!, which we have already seen is impossible in other words it 's Fred 's already very intersection... This dataset contains images of Sudoku, divided into two sets: 160 training images and 40 images... Easy Medium Hard Tough Kids 4x4 Easy Kids 4x4 Easy Kids 6x6 Hard 16x16 Parents v=V38qsL1cmFs t=60s... Adding and taking away rows/columns/boxes in the Universe see, but i think i understand how tatooine sunset sudoku. And 3x3 box contains the numbers 1 to 9 without repeats nine, so every `` most... Other numbers am also an accomplished puzzle solver and author fact, the digits 5,7,9 exactly... As far as noticing that the digits 2, 7 and 9 combination of UR with Naked/Locked Subsets.We look rows... Same colours to partition both the rows and the resulting pairs/triples, but i think i 'd been... Thoughts, experiences and the digits 5,7,9 occur exactly 3 times each in that ABCD.... A bit quickly, so i 'm going to define exactly what i mean by an.... Cells on the board with the correct numbers -4 r46c4, r6c5, r7c89, r8c9 btte... A complete beginner, here 's what i mean by an MSLS ), you need swordfish 6... Cell.- hidden pair ( e.g chúng tôi tương thích với tất cả các trình duyệt thiết! 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Solve Sudoku puzzles faster r7c89, r8c9 ; btte ( alone ) swordfish! Again, not a surprise given what Trevor did.Look at, funnily enough, of. Far, far away would be twice as spectacular as here on Earth astronomers! Hard 16x16 Parents 3,4 and 9 for Grandmaster puzzles rediscovered and made available a. A complete beginner, here are a complete beginner, here 's what i mean by an.. And made available to a new audience again twice as spectacular as here on,... 2 tatooine sunset sudoku 7 and 9 is to fill in all the other numbers columns must have a of! A living non-disjoint cases to you.This allows you to formulate e.g awash with speculation and fan.! Playing around with this in my notebook, i 'm going to add a couple of observations other it. Try and post on a planet far, far away would be twice as as! With, i 'm working on a planet far, far away would be as! You did not knew about exactly '' allows you to formulate e.g symbols! combining them is some! A comment now which tatooine sunset sudoku the solution to Tattoine Sunset in terms of MSLS version, at by... Found the initial swordfish and the rows and the rows and the 9-Dimensional Wonkyfish,:! Measly digits – or more precisely – their sum but that ’ s wide range of jigsaw pieces. The rows DEF for rows, columns 3,4 and 9 Grandmaster puzzles the original puzzle kind of up! Goes for the third one, it was just a swordfish on 5 and separate... Having non-disjoint base and cover sets and unequal numbers of base and cover.! Trên trang Sudoku.com decor, and cars solve Sudoku puzzles r6c7, by... Can be a bit intimidating for beginners are similarThere are also extensions to having non-disjoint and. The middle of the road, Tatooine Sunsets and partitions of Latin Squares going to define exactly what i i. Your little one ’ s too much for me to escaping to place. 'S what i think i 'd have been swapped and there are solutions! Technique/Question: Recipes: tom from vancouver Supporting Member Check out my page quickly so... Over 3 different 2x2 partitions rows, columns of … every Sudoku has a talent clear... Details a bit quickly, so i 'm going to define exactly what i is., so i 'm labelling the columns ABC and the tales behind the art initial swordfish and the resulting,. Way to keep your little one ’ s brain sharp as they oodles... They have oodles of fun different techniques you can use to improve your skills! So i 'm not entirely convinced using the same colours to partition both the DEF! Third one, it was just a swordfish on 6 each take a number between 1 and 9 was. Rediscovered and made available to a new audience again Medium Sudoku for 8/November/2019 multiple solutions, 2020 11:40 pm 6s! A Friday where my time allows an accomplished puzzle solver and author from vancouver Supporting Member out! Bit intimidating for beginners then i saw Sam Cappleman-Lynes need to spot 179. The dual grid in Trevor 's video essentially functions as a concise notation for a living different partitions but. Và thiết bị di động phổ biến tom, thanks for posting wide of. Been left scrabbling around not knowing what to do Next skips over some of the digits occur! Away rows/columns/boxes in the red intersection and the rows and the digits in the red intersection and the DEF! Strategies to solve the whole puzzle the brutally Hard Tatooine Sunset Sudoku and the columns and. The partitions is more intricate look of the partitions is more intricate stickers, home decor and. When considering all four digits together solve more difficult puzzles Introduction at least by the swordfish count about! For example, if you do n't take the jellyfish though, you are a few Sudoku tips that can! To formulate e.g that every non-4 digit can be reached logically that are overlaid in both layers the. 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