Blashyrkh here, what a nice surprise this feature is, really didn't expect that :D You pretty much followed the solve path that I, ahem, "constructed". As some comments already point out, 1 and 2 in box 3 can be resolved a bit simpler via the 3/5 boundary. The convenient thing about box number based rules is the intrinsic symmetry break, something that is necessary for an empty grid puzzle. I tried many variations of the rules, but they were either too powerful, breaking the puzzle, or not powerful enough. This wasn't perfect either, but I felt the solve path was quite appealing, so I selected the tiniest possible disambiguator and published the thing ;)
I think the "variant" solve path I took lined up with what you're talking about with the 3/5 boundary. At 23:08 in the video, the r5c1 possibilities (2 or 4) rule out 1 from r4c1 - likewise, r5c3 rules out 2 from r4c3. This has some cascading impacts through the puzzle, but it jumped out at me fairly early in my solve, and I appreciated the constraint.
Lovely rule set. For giggles, I tried ignoring the inequality and was able to get pretty far. I can see why this was so tantalizingly frustrating to construct: it seems like the answer was just out of reach. Parker Miracle is a perfect name. ❤🎉
There's a nice bit of logic on the box 3/5 border that Simon sort of skipped over; the 1 and 2 could never be in the bottom half of box 3 once the box 5 dominoes were understood, because 1 would be next to either 2 or 4 adding to 3 or 5, both not allowed, and same for 2 being next to 1 or 3 adding to 3 or 5 again.
@@srwapoI think at this point he might actually find it funny - he also makes a point of looking disappointed at people who are at the Tau-support level in his patreon. I think the disappointed look is part of his brand by now 😅
Rules: 09:12 Let's Get Cracking: 11:45 Simon's time: 24m21s Puzzle Solved: 36:06 What about this video's Top Tier Simarkisms?! Maverick: 2x (06:48, 19:25) The Secret: 2x (01:55, 01:58) Three In the Corner: 1x (35:59) Phistomefel: 1x (01:55) And how about this video's Simarkisms?! Hang On: 12x (09:35, 15:35, 18:56, 24:55, 25:30, 25:45, 30:23, 31:58, 34:19, 34:25, 34:25, 34:25) Naughty: 11x (13:01, 17:22, 17:22, 26:46, 26:53, 28:35, 30:44, 32:19, 32:32, 32:42, 33:47) Weird: 8x (10:48, 11:48, 11:50, 13:38, 16:16, 25:45, 32:02, 35:13) Sorry: 6x (06:13, 15:56, 15:59, 17:03, 18:40, 19:25) The Answer is: 4x (14:47, 22:10, 27:00, 28:25) Cake!: 4x (06:06, 06:21, 06:41, 08:06) Clever: 3x (04:32, 16:16, 35:18) Brilliant: 3x (03:02, 08:46, 36:02) Obviously: 3x (04:30, 28:49, 36:20) Out of Nowhere: 2x (32:42, 32:46) Stuck: 2x (18:51, 18:51) By Sudoku: 2x (32:37, 32:40) Ah: 2x (15:59, 29:28) Useless: 1x (30:13) Nonsense: 1x (00:33) In the Spotlight: 1x (36:00) Lovely: 1x (21:15) Beautiful: 1x (07:05) Incredible: 1x (03:56) Extraordinary: 1x (36:05) First Digit: 1x (30:06) Shouting: 1x (06:19) Bizarre: 1x (35:15) Magnificent: 1x (36:10) In Fact: 1x (34:16) Marries Up: 1x (19:56) Have a Think: 1x (26:36) Nature: 1x (36:30) Unique: 1x (04:09) Most popular number(>9), digit and colour this video: Twenty Four (3 mentions) One (96 mentions) Lime (3 mentions) Antithesis Battles: Odd (2) - Even (2) Lower (4) - Higher (0) Row (6) - Column (6) FAQ: Q1: You missed something! A1: That could very well be the case! Human speech can be hard to understand for computers like me! Point out the ones that I missed and maybe I'll learn! Q2: Can you do this for another channel? A2: I've been thinking about that and wrote some code to make that possible. Let me know which channel you think would be a good fit!
Simon explaining several times 1 couldn't go next to 4 in the border between boxes 3 and 5 but not saying anything about 1 and 2 was so painful to watch
I did the complete opposite on what I did with the Numberphile video about the Phistomefel ring. This time I thought it was a Numberphile video, but then I saw the CTC logo on the thumbnail.
23:01 At this point, you can place "1" and "2" in box 3. 1+2 = 3; 1+4 = 5, so 1 can't be in r4c1. 2+1 = 3; 2+3 = 5, so 2 can't be in r4c3. That kick starts a lot of sudoku that gives you more progress.
There once was a small otter bard Who by simple puzzles was jarred. He complained "Why's it so When the vid length is low That the puzzles is always so hard ?!" Seriously, I click on the half-hour length videos and figure I'll solve it and get right to work, then I'm here all night wracking my brain.
Very interesting idea and a nice puzzle. I have found that pencil-marking with care (and thoroughness) is often very helpful in miracles! Thanks, Simon.
31:50 I think the simpler way to sort out the 1's in boxes 3 and 4 is to look at the bottom left cell in box three and ask "Could this be a 1?" Given that it is above a 2 or a 4 in box 5 either the domino it makes would add to 3, not allowed because one of the digits is in box 3, or it would add to 5 which is also not allowed because one of the digits is in box 5. Therefore the bottom left cell of Box 3 cannot be a 1 and the puzzle just collapses from there. Regardless, it was a beautiful solve of a beautiful puzzle and props to Matt Parker for being a good sport about being the internets punching bag for all this time. We may all be laughing at you Matt, but it is a laughter of love I assure you. I hope both Simon and Matt take great pride in all the joy they bring to people, especially in these trying times. Thank you for the distractions my good men. Now back to reality for me. See everyone tomorrow, same time, same place, with the same wonderful puzzles.
Finished in 17:37. Not sure whether there was an easier way of solving it, but I just went through all the possibilities of what could be in box 6. Fun puzzle!
same thought here, but wasn't 1 of April which would just make ist perfect so i am fine that all rows and boxes an columns worked but not the diagonals which deviates a tiny bit from the original Parker square where just one of the two diagonal worked. so in a way the puzzle mimiking a parker square indeed ist a parker square
I love these kind of puzzles where you basically have to crack the code first. Once you do, all that's left is to just put in the numbers. Nearly 33 minutes into the video we only had a useless 4 in box 1, and within 3 minutes of getting the second number in, the puzzle was fully solved.
While discussing the logic around 32:45 (which boils down to R5C1 can't be a 4 since it makes R5C6 in to a 5 which excludes all remaining locations for a 1 in row 4) it became clear that R4C1 can't be a 1 because it has a 2/4 pair below it, making the sum either 3 or 5 violating the rule about disallowed sums.
A way that I found much easier to think about box 6 was, once box 5's 1/3 pair was pushed to the right wing, what can box 5's 1 go next to? It can't go next to another 1, if it was next to 4 you'd get a forbidden 5 total, and if it's next to 5 you get a forbidden 6 total, so the only option is that 1 must be next to 2. Then 4 in box 6 must go in the right wing, and it can't go in the same row as the 2 or it'd break box 5's left wing, so 2 and 4 are diagonal from each other. This limits 1 in box 6 to only being above the 2, and fixes the left wing as 1/2 pair and right wing as 4/5 pair
I finished in 62 minutes. This was a neat puzzle. I really liked the play between the two bottom boxes along with box 3 that forced two possibilities in the two bottom rows. It is absolutely wild how one can construct a puzzle with such simple rulesets and practically nothing in the grid. Great Puzzle!
One piece of logic i realized around 20:00 regarding the left wing of box 6 is that, Wherever the 1 goes on the right wing in box 5, it Must be adjacent to a 2, in box 6. Because whichever row the 1 in box 5 goes in, it cannot be adjacent to a 1 in box 6 by sudoku, it cant be adjacent to a 4 or 5 because that would sum to a 5 or 6 respectively. So the only option is for the 1 and 2 to be adjacent across the 5-6 box border. Which would then likewise place 4 on the right wind in box 6.
39:23! Ended up doing boxes 5 and 6 a bit more systematically - Goodliffe-ing them up and then knocking out impossibilities one after another. Once that hit critical mass, though, the resolution was exceedingly satisfying.
at 27:23 isn't it simpler to apply Sudoku rules in row 5: R4C4 being a 5 makes R4C2 a 6, R4C6 a 3, and R4C3 a 1, making a 1/5 domino adding up to six which is not allowed if the domino is partly in box 6?
I managed to get into box 3 12 pair as on moment when i realized in box 13 and 24 pair i noticed that they both force 12 up as bottom row they create always naughty dominos.
I ran into a few complications on this one, but I got there after a few hints from Simon's solve about where I had gone wrong. My time in the end was 36:18, solver number 3932.
Of course I skipped the happy birthdays 🤫 but do not tell that to Simon because he kindly provides chapters that I can easily skip, and I do not mind to press +.
44:33, though I think I left it unpaused while away for a bit. I don't think I got much logic besides pencil marking most of the cages, then just kinda tried digits here and there to see what failed.
4:49 Resolving the boundary between boxes 3&5 opens the test up anlot mote quickly after spotting the 5/6 boundary issues and, as Simon says, fills itself in. Still, a bona fide miracle of a grid, well crafted/discovered by Blashyrkh.
25:23 Fascinating, I assumed I knew which the conclusion Simon was trying to put in to words here and it ended up being a totally unrelated one (Mine was that the 2 must be on the lefthand side of box 6 because the 1 in the green pair cannot be next to a 1 by Sudoku and cannot be next to a 4 or 5 because those would make a 5 or 6 domino crossing boxes 5 and 6.)
Watch the video, in fact watch lots of Matt's videos. He is very entertaining, and very clever. I think it's to do with them both starting out to create something amazing, and coming very close, but not quite achieving it. This sudoku was close to a perfect miracle, but needed that > sign so it solved uniquely. Matt had to repeat square numbers for his magic square to work.
The best way to deal with it is to not give it attention because I had to scroll a long way before I saw one comment that could be considered anti lbgtq+ and that was only after I read your comment. And when have Simon ever confronted the comment section apart from saying I enjoy the comments especially when there kind.
11:54 finish. Such a fun puzzle, and the logic was not too difficult. Basically you just have to remember to look at both box numbers when you cross lines. Excellent!
