One of these days figurative sunlight will cleanse while it burns.
(still looking up an excuse for mentioning "granularia." Maybe I misremember. (Any help?) It's a neurological junction where three signals intertwine like a pomegranate.)
@LiefdeWen You can always try new puzzles. Don't leave just because one puzzle wasn't appreciated. We all have our bad days. Don't worry. You will love this site.
... while mixing three-way junctions: "A granular cell was present at the acinar-intercalated duct junction in submandibular gland of adult rats of several different strains. It occurred more frequently in females thanin males. It was a small pyramidalshaped cell, usually forming the most proximal part of the intralobular duct system. The cell contained a relatively large, basally located nucleus."
... "Numerous heterogeneous granules, usually exhibiting both electron-dense and electron-lucent regions, were present in the apical cytoplasm. Exocytosis of the granules at the apical cell surface was occasionally seen. Dilated cisternae of endoplasmic reticulum were frequently observed between the apical granules and in the basal and lateral cytoplasm."
@Sid, I will spend some time researching and looking at other well received puzzles and see if I get inspiration for another puzzle. @GarethMcCaughan thanks.
@Rubio The odd thing there, to my mind, is that initially I want to read "electron-dense" as "containing lots of electrons" but as soon as you see "electron-lucent" it becomes clear that it actually means "liable to scatter electron beams in an electron microscope" which may or may not be the same thing.
But, free publishing lesson: It doesn't matter how you change the font, the way you do so is like a piece of music. The only thing we don't notice is no change.
"Ant-Man" is a superhero that can change his size. Usually he can get very small, but sometimes he can get large as well. In the movie 'Ant-Man' (minor spoiler here) there is a scene where he is handcuffed. He manages to get small and thus slip out of his cuffs.
My question is: Is there a wa...
... Though, n_palum, if you're underage half of what I've typed to you is chargeable. If you're underage but feel overage, welcome to the club! If you're overage welcome to that club too!
@ffao When I made Kuro and had them go ask/answer questions on Movies SE I ended up asking a very conflicting question that got closed and reopened ^.^
Looking for more help. Who said "an ugly carpet lasts forever"?
She's my most secret muse. Had a column forever while it lasted.
...oh wow, in the process of looking that up i found "offthw.zz" from back in the days when file names were restricted to a certain number of letters and when public places had graffiti ...
"offthw" means "off the wall"
Perhaps it's time for Graffiti SE, but until then, shield your eyes.
"Please don't throw cigarettes into toilets. They get soggy and hard to light."
It's "correct", only in the sense that "it could feasibly happen in the middle of a blank grid", not "it is a solution to the second puzzle I've given".
I'll go back to contact, I can't watch math being slaughtered like this. Maybe Gareth, Rand or one of our actual mathematicians can explain what proofs are and why they're necessary
I don't even understand what the point here is. "Something that can feasibly happen in Middle of the grid" is not equal to "the solution of the grid". Period.
@n_palum You're assuming your conclusion. The whole point of a proof is deducing something from other statements. And "teacher said so" is not a proof.
@n_palum If you're trolling, please stop. If not, please note that edderiofer really truly hasn't told you that the second puzzle has a unique solution, and if you think they have then you've misunderstood.
@Sid I think he means "Proving things true that are already known to be true ...".
The only difference is that I've replaced "the statement is true" with "the solution does not exist". Other than that, they're identical (up to rephrasing).
Help me understand how my logic is wrong. (That sounds sarcastic or rude it's not intended) - We've deduced that there is in fact 1 solution at a minimum. If my answer is then, yes there's only one solution, and I'm told no, that's wrong. I now know there's multiple solutions. How's that different than just finding a second solution. I'm merely deducing what I think it is.
also @n_palum when you say "I'm told no, that's wrong. I now know there's multiple solutions" that is probably incorrect, depending on exactly what you were told. If e.g. you were told only "your claim that there is at least one solution is inadequately justified" you can't deduce anything about whether there are any solutions or whether there are multiple solutions.
Yes, that's the other point, and more or less what I'd tell him if he posted a solution and claimed it was unique. I'd tell him to prove that there weren't any other solutions.
You can fill out the left 1-3 columns however you like, but at the end of the day to make anything work on 4-10 you need black/red on the top row, and the opposite on the bottom but you can't have that and still all be connected
How does "Because of how the 10x10 works with avoiding 2x2s" imply what you've said?
You've just gone from A to Z without going through B, C, D, or anything else there.
Accepting that as a proof would be like accepting "P is not equal to NP because of the way algorithms work".
Or maybe accepting "1+1 = 20483.482 - 4^10^10 i because of the way numbers work". "Because of the way this works" doesn't make your argument correct; it's a meaningless statement.
Yeah, but you haven't checked every single possibility of 2^98 squares.
Unless you do that, saying "I tried many things and none of them worked" is not a proof that there are no solutions. Only that you've not stumbled upon any.
At this point, I'm very doubtful that you've ever even done a Sudoku.
Retrospectively, Professor Siwel did Quite well with his follow-up representation, Currently utilized by generation X.
The first clue given was: "A clue, the only uppercase letters that you need to take note of is Professor Siwel. He is a real person."
Second Clue: Professor lewis invented a di...
Then don't come to me with these half-baked "proofs" that rest on assumptions that simply don't have to be true. Because that's just wasting both of our time.
Start with a word of your choosing and build a list of synonyms recursively, in which the last added word is a synonym of the previous one, so that we can progressively deviate from the initial word's meaning until we reach an antonym.
A somewhat related example:
$Good \rightarrow Benevolent \ri...
I'm just sayin' the top left has to be white because each color must be able to get to each end of the grid to help fulfill the entire grid, cutting it off before hand makes it impossible.