The Twisted Magic Square

** TODAY'S PUZZLE **
A debut on the channel today for Chris C and their puzzled Twisted Magic, which is an unusual sudoku based around the magic square! This is a LOT of fun and you can play the puzzle at the link below:
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Rules:
Normal sudoku rules apply. In cages, digits must sum to the small clue in the top left corner of the cage. Digits cannot repeat within a cage. Clues outside the grid give the sum of the digits along the indicated diagonal. Digits may repeat along such diagonals if allowed by other rules. Digits in shaded cells must form a 'twisted magic square' with no repeating digits. A magic square is where the row, column and main diagonals (ignoring the unshaded cells) all sum up to the same number.
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[@TheFreeBro]

Simon if you’re ever stuck. Please remember to check where you’re mouse is hovering. You may find it to be surprisingly effective

[@MattGriffiths81]

Want to make sure I comment on every video that doesn't require an advanced degree in set theory to start. Thoroughly enjoyed this puzzle without needing to use anything but the given rules. It was a very pleasant solve.

[@AgeFuture]

Thank you for this solve. I spent a lot of time making sure that those “hinges” became instrumental in the solve. I’m just grateful that my debut was on a puzzle I was truly proud of!

[@GeekRedux]

It must have been frustrating to see Simon not follow how the third cell of each "hinge" related to the "top" of its magic square line, especially when he just picks up on it at 22:44 and then immediately abandons it! Really elegant logic mechanic you had there--helped me out very early on! Great puzzle.

[@AgeFuture]

@@GeekRedux thank you so much! It was but I’m just overjoyed to see him use his own logic and still come out on top. Thanks for the kind words!

[@Paolo_De_Leva]

👏Luckily, your elegant "hinge" logic (that I missed unfortunately) was explained below by *Waggles.* In short, it allows you to conclude immediately and very quickly that *r4c7 = r3c5* *r7c6 = r5c7 + 1* (playback time 22:12) *r6c3 = r7c5 - 2* *r3c4 = r5c3 - 1*

[@Paolo_De_Leva]

I also missed the *parity* logic that Simon used to enter candidates in the "hinges", at playback time 18:08. But it was not too difficult for me to solve the puzzle otherwise. Luckily, although my alternative solving path was not as elegant as the intended path, I enjoyed it.

[@Phoenixcaptain46]

Absolutely loved this one. It was amazing how getting that single ten cage on the side pretty much solved the whole puzzle.

[@ardentchaos491]

This channel has been a fantastic way to improve at these puzzle games. Early on I would do my best until I got stuck, then watch the video for the next clue, and repeat until it was solved. Now I'm finding myself pushing through the solve myself, then watching the video of entertainment and new ideas. The progress has been quick and I thank you for your continued guidance! A great way to learn.

[@jamessweatt985]

Same here.

[@hoodiesticks]

Spent 80 minutes on the puzzle, only to realize I made a mistake. Came back to this video, compared my board with Simon's, and 10 minutes later I'd found the mistake (it was something I'd filled in at minute 30, and it took me almost an hour to realize it was wrong). Usually when I make a mistake like that, I just give up and abandon the puzzle. Because of these videos, I was able to (eventually) figure out what I did wrong and finish the puzzle properly, which is such a good feeling.

[@inspiringsand123]

Rules: 02:06 Let's Get Cracking: 04:05 Simon's time: 30m34s Puzzle Solved: 34:39 What about this video's Top Tier Simarkisms?! The Secret: 6x (03:41, 04:21, 04:31, 04:34, 06:37, 16:20) Bobbins: 1x (21:23) And how about this video's Simarkisms?! Ah: 10x (03:08, 16:17, 16:52, 21:39, 22:09, 27:12, 27:37, 31:31, 31:31, 31:43) By Sudoku: 4x (26:58, 30:40, 33:39, 34:22) In Fact: 4x (02:43, 08:01, 23:05, 32:51) Beautiful: 3x (26:02, 27:37, 28:26) Clever: 2x (21:39, 34:53) Lovely: 2x (34:42, 34:45) Obviously: 2x (11:12, 20:36) Fabulous: 2x (34:40, 34:40) Good Grief: 1x (21:39) Useless: 1x (01:12) Sorry: 1x (08:59) Bother: 1x (27:04) Apologies: 1x (31:10) The Answer is: 1x (32:45) Fascinating: 1x (01:23) Ridiculous: 1x (17:16) Take a Bow: 1x (34:42) Surely: 1x (22:14) Think Harder: 1x (21:18) Doesn't get a Song: 1x (34:35) Corollary: 1x (16:43) Whoopsie: 1x (27:27) Plonk: 1x (34:32) Have a Think: 1x (03:29) Most popular number(>9), digit and colour this video: Fifteen (24 mentions) One (67 mentions) Purple, Blue (2 mentions) Antithesis Battles: Low (7) - High (6) Even (18) - Odd (13) 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!

[@soremekun]

All this and the video has only been live for 4 minutes!

[@IamSlax]

This is both very impressive and somewhat terrifying.

[@frmike2007]

Add “doesn’t get a song”. He seems to use this regularly as he places a non 3 in the corner.

[@inspiringsand123]

@@frmike2007 Check the list ;)

[@Waggles1123]

I think you missed something really brilliant with this puzzle. The third square in the four cages that interacted with the magic square each were a fixed offset from a different square in the magic square. For example, r4c7 is exactly equal to r3c5. This is because the r3c5+r4c6+r5c7 magic square edge adds to 15, and the cage with r4c6+r5c7+r4c7 is also 15, so r4c7 = r3c5. You get similar relations between the other 3 caged digits (i.e. r7c6 = r5c7 +1, r6c3 = r7c5 -2, and r3c4 = r5c3 -1). Then some deductions in the bottom 3 rows whittle away at options which propagate around the magic square through these relationships until you run into a single value for one square which collapses the puzzle.

[@PaulRecchiaJr]

It really was a shame we didn't get to see that logic because it really is beautiful

[@GeekRedux]

It's a shame he didn't use that. I spotted that pretty early and was pretty proud of myself for that. And he was so close!

[@Samhain_III]

Was looking for this ^^ Hope he mentions it in tomorrows video.

[@AgeFuture]

Thank you for finding that logic! I’m just happy I got featured but I must admit I was a little bummed Simon didn’t see it. At least he got the “hinge” logic.

[@AndreasKungl]

I went the way you described. Took me ages, though. Nevertheless, a wonderful puzzle.

[@zebbiezebra3055]

usually i watch for fun, and sometimes have an attempt at starting this time i decided to solve as i went along with the video

[@HunterJE]

Good to see a short puzzle today, no worry about it running in to stream time

[@physicsnerd02]

I was proud of myself for solving it so quickly, then I start watching Simon's solve and notice he spent 5 minutes explaining a concept I penciled in immediately :) Very fun puzzle! You had to think about it, but the logic was sound and didn't require multiple iterations of set theory to narrow in on the break. Quite lovely.

[@DaedalusYoung]

It's what I like about Simon's videos, he takes the time to explain things, and he explains things well.

[@ecs05norway64]

Never did a Magic Square before, interesting setup. Thanks for explaining it. Took me forever since I kept skipping ahead in my logic chains. The hinge digits as you call them were definitely key, though, and I missed a couple of points that would have sped things up for me a lot. Finally managed it though, yay!

[@chuckmanion1128]

37:26 I always find it funny watching the video afterwards and seeing them take a different route. I saw the implications of the cages overlapping the magic square immediately and broke in that way. I ended up putting off other parts for longer than I should have because I spent to long trying to finish the square without more outside of the magic square filled in.

[@jacobcombs1106]

Same. I had realized that there were only really 8 combinations to the magic square and took about 3 minutes in my sudoku spreadsheet (Its essentially just dozens of blank sudoku grids) that I have on standby filling in the 8 possible combinations and quickly worked out there were only 3 actual legal combinations thanks to the cages that then as you expand outward became only 2 possible combinations and then once the 10 cage in box 4 was determined to be 9/1 left only the 1 combination. I am pretty sure that is how I was able to solve it in 45 minutes instead of the 1 hour his 30 min completion time would indicate it should take me based on how much longer I usually take than him to solve these things.

[@jamessweatt985]

@@jacobcombs1106 I did it like that but without the blank sheets. I made myself mad trying to methodically go through the combinations in my head and discarding the impossible.

[@jacobcombs1106]

@@jamessweatt985 I don't think I could have mentally processed them without the visual and throwing in sum cells to the side to dummy check myself. I'm quite proficient with excel so I like to use it to make up for my other short comings lol. I got a badge on LinkedIn for being in the top 1% of LinkedIn users for knowledge of Microsoft excel, not sure if I should be proud or embarrassed by it hahaha.

[@jamessweatt985]

@@jacobcombs1106 As I say, it drove me mad trying to juggle it all in my head. I love spreadsheets and use excel for everything. I do personal lists, databases, etc. I wrote a nice (but not pretty) spreadsheet for my gas mileage that figures my mpg for the latest fillup, mpg since I started the spreadsheet 8 years ago, some columns just diary info--place of purchase, notes, date--, and how much money that fillup would have cost me with my previous car and its avg mpg (and running totals). Years ago, I even tried to do a Sudoku Solver in excel, but it got rather complicated, so I set it aside. Then they started coming out, of course, so there was no need to reinvent the wheel. I'm medium proficient, knowing more than the basics. The main thing is knowing what's possible, then figuring out how to do it when you need it. But I'm still blown away by all these fancy things like the dashboards. If I were still in the business, I'd probably be better. You should def. be proud of that ability. I keep hearing that to be that guy with that skill is really in demand now.

[@kgeiger61]

Very nice! 19:25. Making the connection between the cages and the sides of the magic square is the key.

[@alienrenders]

24:19 for me. Was really slow at the end. Couldn't figure out what to do for a while. I thought it was really difficult to finish. Nice construction. Really liked this one.

[@th.nd.r]

What an exciting puzzle! Love the coloring method you used of sunny vs. icy. Seriously incredible puzzle. The revelation that there was more use to the magic square than initially thought was so cool. Great setting and solving once again!

[@jamessweatt985]

I always use orange&blue for high-low coloring. I can always remember over/below. The trick is often figuring out what to do with 5.

[@th.nd.r]

@@jamessweatt985 for sure. Other reasons to use orange/blue for high/low: - orange has more letters than blue (in fact, orange has 6 and blue has 4, so that works pretty dang well sudoku-wise!) - orange is alphabetically further along than blue - orange is physically higher than blue in most depictions of rainbows - orange has more syllables than blue - oranges come from trees and blueberries come from bushes

[@jamessweatt985]

@@th.nd.r Oh yeah! Sometimes when I forget the over/below trick, I use one of those. Or that Bart Simpson originally wore an orange shirt and blue SHORTS, Or that orange scores more than blue in Scrabble, or that the orange properties are worth more in Monopoly (light blue, not dark blue), orange has more letters in french than bleu, orange has more syllables than bleu, naranja has more letters in spanish than azul, naranja has more syllables than azul, I never knew Maltese, so I "forget" the words for colors (and the colors for words) in that language. ;- )

[@th.nd.r]

@@jamessweatt985 wow even better!!

[@AgeFuture]

Thank you for you incredibly kind words. I’m looking to set some more puzzles with different variations of magic squares. This puzzle was super fun to set

[@SkylersRants]

My lord, that was the most convoluted explanation of 5 in the middle I can imagine! :)

[@JalebJay]

21:04 the knight move relations in the magic square makes an interesting step into solving the ring.

[@stevesebzda570]

[28:36] It's about time, Mr Mathy Simon. [Solved all nice though -- I just tuned back in] lol :) This really went well [, with Simon's help early on] Thanks, Simon [and the Constructor].

[@AgeFuture]

You are quite welcome!

[@BrooksMoses]

63:22. I'm pleased with that time, and it was quite an enjoyable puzzle. I appreciated that the solve used the clues in a spread-out way rather than all at the beginning or end, and I also liked the ways that in some places it needed parity and some places it needed high/low sets.

[@Gonzalo_Garcia_]

20:33 for me. I struggled a little bit more than I should have with the magic square logic, but I still enjoyed it the puzzle a lot.

[@piarittersporn]

After a big mistake in box 7 (inadvertently I added to 15 on the diagonal ... instead of 14 !! 🤪) I restarted and enjoyed this exciting puzzle very much.

[@MonkehBuns]

75:54 with plenty of cheating by peeking at the video but it was a lot of fun! I found Goodliffing the bottom 3 rows right off the bat helped me get a few digits before Simon! But then I got stuck and had to have the magic square explained to me.

[@chipsounder4633]

I was expecting SET. but the logic was beautiful and roll on next upload👏👏👏

[@achad1607]

After you set the magic square, the 13 and 15 cages total 28, and, include two pairs that each add to 10 because of the magic square. r6c3 and r4c7 are either a 26 pair, or both 4. If they are a 26 pair, r6c4 must be 3. R9c6 cannot be a two, else the 1234 cage in box 9 would have to have 1,2, and 4 [64 cage in box 8, and 1234 cage in box 7.] in the top row of the 1234 cage in box 9.

[@lroke2947]

At 20:00 I had a random thought that we all know that one of the solvers on this channel likes to goodliffe the grid and then zip through the conclusions, whereas the other likes to colour the grid and then zip through the conclusions, and then I drifted off thinking about worlds colliding.

[@olivier2553]

It was very smooth.

[@elizagallagher8205]

Lovely puzzle and lovely solve!

[@bristolrovers27]

Very nice puzzle Simon got there in the end, a touch pedestrian, but no one is perfect.

[@longwaytotipperary]

I did enjoy this one. Now getting ready for live stream!

[@MisterM2402]

I managed to get everything apart from one little bit of logic around the 16 cage (why r7c6 couldn't be 1) but managed the rest. A nice satisfying solve for a neat puzzle.

[@Raven-Creations]

Simon, really! Use your eyes man. Looking is an active process. It's not just a matter of moving your eyes, you have to process the pattern of photons that hit your retina. You remind me of the woman who, while I was driving a bright red car in broad daylight, with perfect visibility, and no other traffic on the road, looked straight at me, yet pulled out across three lanes and drove straight into me. She pointed her eyes in my direction, but didn't process the information. I dread to think what your insurance is like if you drive like you play sudoku. What a great debut for Chris C. I was surprised how much more tricky the twisted magic square was compared to an untwisted one, which are usually trivial to resolve. The apparently overly generous 4-cell cages really weren't as helpful as they first appeared, even when they gave quads a-plenty.

[@sfraser66]

Loved this puzzle thaks to Chris C for making it. I had to restart after about 15mins as i mucked up the magic square on my first attempt, however doing it in 27:39 on my second attempt was a great time for me. without the restart i would have been quicker than Simon altough i dont stop to explain everything i'm doing to dopes like me.

[@AgeFuture]

Thanks for the solve!

[@jacobcombs1106]

I was only 25% slower than Simon this time! Instead of my normal 100% slower that makes me happy.

[@jamessweatt985]

I'm happy if I come in double Simon's time.

[@jacobcombs1106]

@@jamessweatt985 Same, my normal pace is twice their time. But this time I was only a quarter long instead of a full double! I think it was the spreadsheet I used to narrow down the possible combinations of the magic box to 3 in a couple of minutes.

[@crazypomp927]

This one was a real doozy for me. Took me over 2 hours!

[@Coyotek4]

34:21 ... very nice debut for the channel. Nice puzzle!

[@Swisswavey]

Nice puzzle, thanks for sharing it

[@LednacekZ]

I went with coloring odd/even. I think it was more efficient than high/low.

[@floydbloke258]

I ended up with duplicate browser tabs and doing both, toggling back and forth. Probably not particularly efficient but certainly effective, it very satisfyingly got me there in the end.

[@mikeimho]

42 is the "Answer to the Ultimate Question of Life, the Universe, and Everything" in The Hitchhiker's Guide to the Galaxy books. In this Universe, the answer is 45! But don't tell anyone. It's a secret.

[@DoubleDummy]

Simon, I was very sad when you abandoned the parity bit as in Box 8 it would have helped you a lot to realise that you needed 2 blue squares in row 7 and since 5 had to be in Row 7 but not C5, then that had to be blue and therefore not 6 or 8. Once you know that the leap to the 3 square cages sums and differences is a bit easier to see and work out. Otherwise loved the video as usual.

[@AgiiTV]

32:45 i was screaming at my screen

[@joelstevens5670]

Hi Simon. I noticed in a few of your recent solves that you were keen to use the pen tool for outlining and colours for the regions. However, I wondered if I might suggest using the pen tool to show path directions before colouring? There have been a couple of moments where the deductions haven’t quite been so clear cut whereas sketching the path would mean that you don’t have to worry about getting confused with region colours. Hope this helps, though you are still in a different league when it comes to solving sudoku. ;)

[@waneasle]

That's a good idea! 😊 I hope Simon sees this!

[@AndreAy1975]

Solved it with one hint from the video. Nice puzzle.

[@francoisduez601]

23:54 in front of the rugby match... could have been faster but still quite straightforward 🙃 Anyway, nice pieces of logic as usual !

[@cluso9985]

At 24:38 r6c4 cannot be 7 or 9, so only 1 or 3, because of the 13 cage.

[@srwapo]

66:49

[@PathOfShrines]

Very nice. 31:01

[@JohnRandomness105]

Around 9:20: the central cages are even more informative than odd-even. Compare the cage sums (13, 14, 15, 16) with the diagonal sums. The third digit in the 15 (off the magic square) must be the same as the top digit of the magic square. The third digit of the 13 must be two less than the bottom of the magic square. I was about to end in a -- what was it called? Sudoku death position? But 32:40 reminded me of the last diagonal, the 19.

[@jamessweatt985]

Deadly pattern. Same thing happened to me. I got panicked and then quickly, desperately looked for some rule that would resolve it. There were very few cells left empty at that point.

[@JohnRandomness105]

@@jamessweatt985 I was literally down to the deadly pattern. Fortunately, the diagonal resolved the pattern for me. After taking care of two of the diagonals, I completely forgot them.

[@SnowTheJamMan]

I started watching this video and right when Simon started explaining the magic square i kinda tuned out cause i was reading something in a different tab, but the video kept rolling in the background, after i tuned back after what felt like some time and i started paying attention i find that Simon is still explaining the magic square haha.

[@mikes_.5_cent]

nifty puzzle, nifty solve.

[@man816016]

I was confused by the description where magic square's "main" diagonals are sum up to the same number, and wipe up all the process I made, which is unfortunate.

[@HunterJE]

Is it just me or was the premise of this "a puzzle that would benefit about equally from even/odd or high/low coloring"

[@HunterJE]

(Color "layers" would be a useful feature here - that is the option to color the grid in one set of colors for odd/even and another for high/low and turn the visibility of the two on and off separately)

[@aere481]

I went with colouring odd/even. I thought it was easier to scan.

[@MencrakP]

The box 8 simon !!! When you resolved the domino 10 you could completed faster the sudoku

[@Rubrickety]

I found the text description of the twisted square pretty confusing. It ended up working the way I would have expected from the visual, but the fact that it included the standard magic square description with "row, column and main diagonals", without referencing the fact that the square's rows and columns are diagonals in the sudoku grid (and vice versa) threw me off for a bit.

[@KillaKevBrah]

Simon, I'd love to understand how you scan these puzzles. I find myself yelling at my monitor to resolve a square that you have now gained information to resolve your pencil marks. but in the mean time you'll go and find things that seem completely obscure to me and will eventually resolve the square I've been looking at through an entire different series of resolves

[@stephenbeck7222]

Part of what makes him a great solver of these obscure puzzles is that he can fix his mind on the more complex logic or patterns and not get lost in the details. It also makes him a less than brilliant speed solver which is why he doesn’t like doing competition puzzles, which rely more on scanning and bifurcating to get fast times.

[@icepyrox]

You will often hear him say that he should do sudoku when he gets stuck. This is because he tends to be working through the variant rules and clues rather than scanning the way you do for sudoku. So even though he marks a box, if he doesn't see it immediately resolve he will go back to the variant rules, and if it does, he will look at about 4-5 marks at most before going back to the variant stuff. Only if all the variant stuff is resolved so all that's left is sudoku, only then is he consistent in resolving all the marks. That has been my general observation at least.

[@msolec2000]

@@icepyrox Also, when he doesn't know where to look next, a good idea is to look where his cursor is, because he has this uncanny ability of pointing at the right place while saying he doesn't know where to look next. ;)

[@alienrenders]

@@stephenbeck7222 Unfortunately, the opposite is true. Simon's trademark is getting lost in the details. He had a 13 pair. Never used it. He used some other complicated logic. That's not good for viewers. He could have removed a lot of candidates quickly around the magic square by noting that all the cages were almost 15 and shared two cells on a magic square line that summed to 15. So the extra cell would make up the diffeence. When he was explaining the logic about why the 1 couldn't go in r7c6 for example, but instead did it the long way around. Every solve, Simon is missing stuff that he would never have missed a year ago.

[@jeffreyvannieuwkoop6809]

Short means to east.... well, not for me. Hehe. Good weekend everyone.

[@ocaly]

holy 50 minutes

[@_-_-Sipita-_-_]

X 14:34 for me. i got confused a lot and had to reset twice

[@adrianhead6272]

Completed in 18m14s.

[@LednacekZ]

25:43 for me. And i dont think I was really efficient. Could be a under 20 solve easy.

[@peterkelley6344]

I watched the live stream after the fact. Looks like good game. I hope that Simon and Mark return to the game to finish it.

[@dwarfigplays9806]

Nice! 1:17:28 for me.

[@Icematt12]

Box 7 is perhaps the most I have been yelling at the screen for this channel. How the 1234 cage interacts with the other 10 cage in the box and the little killer. Well myself really. Like puzzle pieces that should fit together but just don't properly.

[@KyleBaran90]

I like magic squares, but they just give away far too much information. Perhaps more staggered magic square puzzles in the future? Eg ones that contain repeated digits might be very interesting.

[@TurquoizeGoldscraper]

28:55 for me - This is after 20-30 minutes of faffing about trying to understand the puzzle and making mistakes that I couldn't solve so I just started over.

[@TiagoMorbusSa]

Happy birthday to Jeffrey!

[@davidh.4944]

I hate this type, where there is a multiple-possibility pattern, and the only way I know to work it out is to essentially goodliffe everything and then bifurcate like mad, trying to find that one essential key. What a tedious mess to fight through. I struggled with it for almost two hours, then surrendered, and watched the video up until the disambiguation of the B8 10 cage. I just completely overlooked that possible conflict. After that I was finally able to breeze through the rest without incident.

[@ro2207]

I remember at least 2 magic square puzels in the last year or two.

[@jamessweatt985]

There have been several. Did Mark do them all?

[@averygaron994]

Magic square puzzles disappoint me, since there only exists one 3x3 magic square. You did a bunch of interesting logic to derive it, but magic squares are solved and you can just treat it as 9 given cells (modulo rotation and reflection)

[@AgeFuture]

Dont you worry, I’m looking to set some other puzzles with interesting magic square variations!

[@ruokothyan7658]

nice, i am early :) exactly what i need right now

[@YourFavouriteDraugr]

Arguably the easiest sudoku I've seen on this channel.

[@Pritchie45]

31 minutes

[@mwebazegilbert2008]

Sunnify😀😃

[@anybrody]

done

[@julieannmyers8714]

Nice puzzle! Simon's sudoku has regressed for some reason. Hopefully, he'll bounce back. It's been quite good lately.

[@ristojokinen1258]

hurs when he is not doing sudoku 28 was there forever and many others

[@TheSyovar]

Does any one just yell at the screen when they are running through placing pairs and stop halfway to switch to a completely different area of the puzzle ... it drives my wife mad 🤣🤣🤣... and me also a little

[@herrgado]

Typical Simon: Does the coloring for row 7 and then doesn't uses it to determine that r7c5 is a four.

[@RichSmith77]

How/when? Right up to when he fills in r7c5 as 4 at 28:15, by other means, the row has three low digits identified and four high digits identified. By colouring alone, 4 could still go in either c4 or c5, surely?

[@herrgado]

@@RichSmith77 the four Red Digits are a 6789 quadruple right? When, at 24:34 he determines that that Cell can be only a 4 or a 6. Am i Missing Something? Btw, Simon is way smarter than me, i'm pointing It out Just because ist funny how he Always does Something and then doesn't uses It.

[@RichSmith77]

@@herrgado He's colouring low digits (1234) blue and "high digits" (56789) orange. (Check from @11:00, when he starts colouring.) So he's including 5 as a high digit in this puzzle. There are past puzzles where they've only coloured 6789 as high digits, but not this time. So afraid no, he doesn't have a 6789 quadruple coloured.

[@herrgado]

@@RichSmith77 Well, in that case I apologize. Have a nice day.

[@ericyoder2673]

Where does the 60 come from when solving for the central digit. 3x = 60-45

[@sfraser66]

there are 4 different 15's in a magic square 2 diagonaly and 1 verticaly & 1horizontaly. all go through the middle square. 4X15 =60

[@ListedFire]

First

[@cjjenson8212]

You still can't clean up when you find a number. Guess I'll have to go on hiatus from you again. Sorry

[@n_mckean]

Stop with the damn secret!

[@TheEricthefruitbat]

Simon needs to step away from colouring. It gets in his way after he stops using it. Not even that useful this time.