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#It's not stopping me though.
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Hey so you remember this thing that everyone on mathblr got excited about recently?
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This is the hat, and it's what's called an "aperiodic monotile". This means that no matter how you arrange copies of this tile, you can never get an arrangement that will repeat infinitely (think of it like the irrational numbers of tilings). This was big news in mathematics as while sets of more than one tiles have been found that are aperiodic (e.g: The Penrose Tiles), this was the first tile that's aperiodic by itself, hence "monotile". (There are some caveats to this but that's not important for understanding this post)
However.
If you look at images of the hat tiling, you may notice something.
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If you look at the tiles labled 1 and 2, you'll see that one's a reflected copy of the other. In fact, any infinite arrangement with hats requires you to you mix unreflected and reflected tiles. Which raises the question: is it possible to have an aperiodic monotile that doesn't need reflections?
Presenting the Spectre, A chiral aperiodic monotile.
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Using only translation and rotation, any arrangement of copies of this tile will never repeat.
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Mathematically speaking, this is really fucking cool.
The paper on it is still in preprint, but hopefully I won't need to retract this post. A copy of it can be found here and a post going into some more details of how the shape was discovered is here.
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kochei0 · 2 months
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I turn to Ares.
Thanks to Tyler Miles Lockett who allowed me to draw inspiration from his ARES piece for page 2! Look at his etsy page it's SICK
⚔️ If you want to read some queer retelling of arturian legends have a look at my webtoon
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bloodyethanol · 10 months
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im letting the days go by and i dont even have a beautiful house or a beautiful wife
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etchif · 1 month
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thankstothe · 3 months
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this show rewires you fundamentally in 60 seconds and then just goes on to have more seasons. audacity
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factual-fantasy · 1 month
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Pokemon Scarlet has been a comforting distraction for me lately. 🥹 Fightin those baddies. Collectin them shiny things and catchin them all's. Amongst other things-
But what's been the most fun about it is imagining my Haunter and Sylveon being extremely stupid and also being bestest friends forever and ever XDD
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When someone really cool that I’ve followed for a while follows me back I feel like I have to be more normal with my posting habits for a bit because I don’t want to scare them away, as if they were a nervous horse who might run away if I move too suddenly. But eventually I realize that it’s impossible for me to be normal forever so I just go back to being weird regular annoying me and cross my fingers that they stay
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theonlymadmanonmars · 3 months
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Hi hello hi. As an AroAce individual in a QPR who has no desire for a romantic or sexual relationship, I think shipping Alastor in QPRs is so so fun and people should do it more. I also think it works for a good amount if not all of the ships I've seen him in.
Alastor and Rosie: Hell yeah. They're already great friends and every interaction we've seen between them has been pure and adorable. Rosie Gently guiding Alastor through his identity because he isn't exactly up with the slang. Them going out for tea and human flesh Sunday afternoons. Them giving each other forehead kisses and holding hands platonically.
Alastor and Angle dust: Mhmm. Angle not really wanting Sex or romance after all he's been through. Angle respecting Alastor's identity and not pushing for anything more than friendship. Alastor not really liking Angle at first because of their differences, But tolerating him regardles. Alastor explaining to Angle that Romantic relationships don't have to involve Sex (I'm an Asexual Angle truther.) Angle offering Alastor a hug that Alastor reluctantly accepts. Them cuddling at night with a pinky Promise of nothing more.
Alastor and Vox: Go ahead. A fic about Alastor trying to Navigate exactly how he feels about Vox, Because when he died the term AroAce didn't exist, so he thinks it's romantic attraction, Maybe they kiss and Alastor is like "Ha! No!" Maybe that's why they had their falling out? Who knows.
Alastor and Lucifer: So So SO much Yes. (This is my personal favorite) The two of them hating each other, but putting up for each other for Charlie's sake. Slowly growing to actually tolerate and maybe even like being around the other. Exchanging snarky remarks in a more playful way. Alastor finding Lucifer sitting in a pile of ducks and despair and offering his hand to help him up and take him to the hotel. Never letting go of his hand. Fuck Enemies to Friends to Lovers I want an Enemies to Friends to Qpr arc goddamnit.
I do think it's okay to ship Alastor even outside of QPR's, BUT. If you do, don't just ignore Alastor's identity. AroAce people get far less representation than the rest of the LGBTQ+ community. I can think of one other canon Character off the top of my head. So it's not okay to erase the little rep we do get. In the end I think it's important to listen to what AroAce people have to say on the matter, it is our representation after all.
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jess-total-mess · 6 months
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hadestown really does convince you that maybe it’ll turn out different this time. maybe eurydice wont go. maybe hades will let them go. maybe, just maybe, orpheus wont turn around early.
and then she does go. and hades makes them take a test. and doubt creeps in.
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lemongogo · 5 months
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i just like his long hair ok 🧎
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artiststarme · 5 months
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Steve and Eddie have a fight and give each other the silent treatment for eight days. Within the week, Eddie is arrested on a multitude of bullshit charges and Uncle Wayne has to pick him up from the sheriff’s department every other day, each time progressively more confused and exasperated. Who the fuck could get arrested for disturbing the peace four times in the same week and why was it apparently Eddie?
Eddie has no idea what he did to warrant all the arrests and assumes that Officer Callahan is on some sort of weird power-trip for that entire week. He doesn’t notice that it stops as soon as he makes up with Steve.
It’s only when he sees Officer Callahan, Officer Asshole as he lovingly refers to him, at Steve’s Christmas dinner that he discovers that they’re brothers. In hindsight, it makes all of Callahan’s hatred make a lot more sense.
Even after he finds out though, Phil still arrests him for various charges whenever he hears that Eddie pissed off Steve. Disturbing the peace, gross negligence, making Phil’s life harder; all reasons that Eddie has been arrested for but never charged with. And yet, the Munson idiot that Phil’s brother is in love with hasn’t yet learned his lesson. Luckily for him, Phil will keep it up until he does.
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poorly-drawn-mdzs · 5 months
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Let the revenge games begin.
[First] Prev <–-> Next
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amphibianaday · 7 months
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day 1421
#uh just a heads up if you expand the tags to see all there's. a lot. very long#amphibian#frog#poison dart frog#based on my most popular frog to date (day 651)#inspired by everyone pointing out what they think it looks like#here's a fun secret fact the original guy is actually a phantasmal poison dart frog (Epipedobates tricolor)#(according to the original artists title of the drawing)#not Anthony's poison arrow frog (Epipedobates anthonyi)#i feel too awkward to really point it out though because they look the exact same. i cannot tell if there is a difference#im half convinced the same frog was just discovered and named twice#its very curious btw if you go on the (english) wikipedia page for either species it doesn't mention the other#while hereptiles.info (no idea if this is a trustworthy site) lists both names as common names for the same frog (incorrectly??)#while inaturalist lists them as two different frogs. curiously with tricolor having wayyyyy fewer photos#ok anyway that's my rant i went on a whole journey trying to figure out if these are the same frog or not and i have no answer#i did some more 'research' and i am more confused. some sources seem to imply they are now considered the same species ( e. tricolor)#i think my conclusion is i am willing to agree the drawing looks more like e. anthonyi. it seems like tricolor is generally less vibrant re#and the white is darker and more green?#i feel like thumblr should stop me from typing more in the tags at this point this is a whole essay#at this point i am failry convinced this is specifically the Santa Isabel frog. isthat the real subspecies or morph or whatever#or just the name pet sites are using to sell it??#i even found some sources (frog selling websites) refering to it as “Epipedobates Anthonyi 'Santa Isabel' Phantasmal Poison Dart Frog” lol#Anyways if you read this far hi. species are confusing. i am not a frog scientist#the first few tags are like an hour old now i just kept trying to figure it out and adding more tags
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negativespace06 · 7 months
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please don’t do this. i beg you!
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greenglowinspooks · 6 months
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(DCxDP) The obligations of a rogue versus those of a parent (Pt. 4)
Tw: descriptions of body horror, Dr. Crane has PTSD and Does Not Realize, Crane has an actual panic attack and just doesn’t care, the Riddler makes one (1) sex joke about Batman
Will be crossposted to AO3 eventually
(Pt. 1 here) (Prev here) - (Pt. 5 here)
(Masterlist here)
Dr. Jonathan Crane is in his lab, the acrid scent of chemicals filling the air, and his hands are shaking.
Danny’s health, for the first week that he had him, had been steadily improving at an extremely quick rate. However, his healing had begun to stagnate. Danny said that it was because his body had run out of ectoplasm, and that while there was a lot of ambient ectoplasm in Gotham, he needed a stronger type in order to heal.
And so, that led Dr. Crane here.
He had stolen the research notes from the Penguin years ago regarding his experimentation on him.
(He quite vividly remembers the sound of bone creaking and groaning as it twisted, lengthened. The squelching of shifting tendons and muscles, the strange fabric-like tightening of skin. The feeling of going from man to monster, of losing all claim to his humanity.)
Danny had called him Liminal, part ghost. He had said that he was transformed by, among other things, a kind of synthetic ectoplasm.
Danny needed ectoplasm.
Crane had the research notes. He had every ingredient necessary. And yet, attempt after attempt failed.
The chemical smell burns his nose. His hands tremble.
Dr. Crane is not afraid.
He doesn’t feel fear anymore. He’s tried to, many, many times, but nothing has worked. And yet, his hands are shaking still.
(The horrifying sensation of vertebrae pop-pop-popping along his spine, growing and lengthening. The unbearable itching beneath his skin as toxin glands begin to form. The feeling of his teeth sharpening and elongating, of his skull growing, of his vision changing and brightening. The awful stench of chemicals. The awful stench of ectoplasm.)
Jonathan takes careful note of his shaking hands, his blurring vision, his accelerated heart-rate and shallow breathing.
(Human hands. Human vision. Human heart and lungs and organs.)
He takes note of them, but he does not let that distract him from the task at hand. Danny is not a chemist, but Jonathan is.
The boy knows enough about chemistry in theory, but he won’t go anywhere near Crane’s equipment. He seems to have some sort of intense fear of laboratory settings, probably developed during his stay with the GiW, and Crane is willing to respect that, if only because he cannot afford to lose him.
As such, Crane is the only one qualified to do this. And, unfortunately, if he isn’t successful the boy may very well die.
He heats the chemicals to precisely the right temperatures, adding each one to its correct container.
Dr. Crane thinks of the Scarebeast, that creature born of cruelty and greed and a sense of superiority. That creature which he tries to ignore is a part of him, that can never be removed. A damage which cannot be undone.
He pours the contents of a small beaker into a larger flask, watching the liquids swirl together. The stench in the air is becoming closer and closer to the one burned into his memory.
Crane’s whole body is wracked with unpleasant sensations. It’s truly unfortunate, he thinks, that despite his mind’s lack of fear, his body still reacts so harshly.
Jonathan’s eyes wander, eventually settling on a purple and green card sitting innocently on the corner of the table.
Right.
Even if they wiped out the GiW tomorrow, and even if Danny could survive without ectoplasm, he would still be in danger.
Crane has to get him back to good health. It’s the only way he can be sure that the boy can defend himself properly.
The solution in the flask begins to foam, and Jonathan does not hesitate as he adds the final ingredient. He pours the mixture into a new container, capping it and placing it into a freezer set to -40 degrees.
Hopefully this time he got the timing right.
Jonathan tries to relax, the ventilation in the room slowly but surely clearing the familiar smell from the air.
He thinks of the letter.
Surely, he thinks, that man can come up with some better material for his jokes. Or, at least something new.
Same old threats, same old attempted poisoning.
Aiming his threats at Danny, though, that was new. New and utterly unacceptable.
Scarecrow did what he had to.
He doubted that his solution would last forever, of course, as with that man it never did. As such, he would prepare both himself and Danny for the inevitable moment that his choices came back to bite them.
However, for the moment, they were safe. Danny could rest and recover, and Jonathan could figure out a plan to minimize possible damages.
Jonathan is no longer shaking.
He’s exhausted. This is his fifth attempt today, and each one leaves an unfortunate strain on his mind and body.
With a sigh, he settles himself into his seat at a nearby desk, opening up his computer and logging his most recent attempt. He still has to wait for it to chill to know if it was successful, but he can always update the logs later.
Once he’s done, he stretches, joints popping loudly as he walks to the freezer.
When he sees the results of his tireless work, the ghost of a smile flits across his face.
Success.
Jonathan picks up the jug of ectoplasm and leaves the lab, which is in all actuality the basement of the new apartment that he moved himself and Danny into after receiving the note. The scrappy old woman who was his landlord had told him that as long as he paid her five hundred dollars up front, she would let him set up in the basement without any questions or cop calls.
And so, the most expensive apartment in the Narrows was his.
At least, he thought, the distance between the basement and the apartment was short enough that Danny didn’t have to sit in while he was doing his labwork.
Jonathan knew that he didn’t exactly have a strong grasp on the concept of ‘lab safety,’ proven by his built-up immunity to almost every toxic chemical he’d ever encountered, and he doubted that Danny should be around such an environment.
He was back to the apartment quickly, not bothering to hide the self-satisfied smile on his face. Danny is sitting in his armchair, trying to read one of his books. Danny looks up, ready to greet him, when he sees the jug in his hands and pauses.
“Is that..?”
“Synthetic ectoplasm,” Jonathan says proudly, “I found the Penguin’s research notes and decided to recreate it, since you said that you needed it to heal properly. I’m not sure if it’ll work the same as what you usually have, but I hope it’s helpful all the same.”
Danny is standing, now, and looking at Jonathan with a strange look in his eyes. He looks, Jon thinks, like he’s about to cry.
Then Danny is rushing forward and wrapping his arms around Jonathan, his scrawny form shaking.
Jonathan is, for a moment, horrified. Did he do something wrong somehow? Why is this child, who’s so afraid of touch, hugging him?
And then he hears Danny’s voice, and he knows that it was all worth it.
“Thank you,” he’s mumbling, over and over, “thank you, thank you, thank you, thank you so much.”
“Of course,” Jonathan says softly, because what else can he say?
The boy cries in his arms for a while, and Jonathan briefly wonders what his life must have been like before, if a person like him can be seen as a comforting figure.
Then, Danny pours himself a small glass of the synthetic ectoplasm, putting the rest into the small fridge which had come with the apartment, and he settles back down, sitting in the armchair once again.
Jonathan sits opposite of him, and they chat with one another as Danny drinks.
Danny talks to him about the stars and tells him about different spaceships, and Jonathan makes sure to pay attention and ask the boy questions.
He doesn’t miss the way that Danny lights up every time he asks him something about his interests. He’s so passionate, so smart, a trait that he seldom sees outside of his fellow rogues, and Jonathan wants to encourage that.
It’s…nice. Peaceful, almost.
And then the front door flies open, because Jonathan isn’t allowed to have nice things.
“Jon,” a familiar voice rings out, “what the hell?!”
Danny is frozen in place, clearly terrified.
Jonathan heaves a sigh, turning to face the nuisance who’s entered his apartment.
“Eddie,” he drawls, “to what do I owe the pleasure?”
Edward’s face is red with anger as he invades Jonathan’s apartment.
“Oh, I don’t know! Maybe it’s the fact that you sent a bunch of rogues a cryptic message and then dropped off the face of the earth for two weeks! I was worried, Jon!”
Jonathan hums in acknowledgement.
“I didn’t think it was that cryptic,” he says, picking up a book in order to pointedly ignore the Riddler.
“Oh, of course you didn’t, you straw-stuffed hickory dickory dickhead. I swear, you’re always—” he pauses, finally having noticed Danny sitting opposite of Jonathan, “—who is this?”
“My apprentice,” Jonathan replies, dreading the upcoming headache he was no doubt going to develop from Edward’s company, “he’s helping me hunt down the GiW. His name is Danny.”
Edward gasps dramatically.
“You—an apprentice?! And you’re letting him sit in the old man chair?! You don’t even let me sit in the old man chair,” he wails, draping himself over the headrest of the couch with a flourish, “Jonathan, I thought I knew you!”
“Edward,” Jonathan says, “get out of my apartment.”
“Oh my goodness, this is incredible. You’re becoming the bat!”
“I am not becoming the bat, Eddie, now get out.”
Edward has a shit-eating grin on his face as he waltzes over to Danny. Danny, who seemed terrified when he first appeared, is now looking at him with obvious amusement written all over his face.
“I mean, look at him! The hair, the eyes, the scrappy build. If you put him in one of those traffic light vigilante costumes, he could easily pass as a Robin!”
“I’m not doing this with you today, Eddie.”
“Riddle me this, Jon: I am a treasure hidden inside of a chest. You can break me, or steal me, or give me a rest. I can flutter, or pound, or attack, or drop, but if you don’t have me, you’re certainly fucked. What am I?”
Jonathan pauses for a moment before he groans, dropping his head into his hands.
“Eddie.”
Danny sits still, a confused look on his face as he repeats the riddle silently. Then, his face lights up in delight.
“A heart!”
“Jon, I like this one,” Edward says with a smile, ruffling Danny’s hair, “you are correct! A heart, something that I wasn’t aware that our dear Jonathan had!”
“Eddie, stop.”
“No, no,” Edward says, “I was worried about you, you deserve this. I mean, you even missed girls night! You never miss girls night!”
“Girls night?” Danny asks, absolutely delighted.
“Oh, of course,” Edward says, sprawling over on the couch, dangerously close to just laying in Jonathan’s lap, “we have it once a week. I’m invited because of Selina and Jon’s invited because Harley likes him.”
“And what does girls night entail, exactly?”
“Eddie,” Jonathan groans, “please.”
“Well,” Edward hums, “we usually paint our nails, or watch a movie, or gossip about the other rogues, and occasionally, we tell each other about any ‘encounters’ we have with Batman,” he says, raising his eyebrows up and down.
Danny’s jaw drops.
“Edward, shut up,” Jonathan says, an irritated tone in his voice that wasn’t there before.
“No way,” Danny says, “I thought that Batman, like, hated you guys or something. You mean he actually..?”
“Oh, the Bat is much like a bottle of liquor or a cheap cigarette, in that he was made to be passed around.”
Danny chokes on air.
“Edward Nygma,” Jonathan hisses, getting out of his seat and looming over the man, “get the hell out.”
Edward pales.
“Leaving, leaving!” Edward says, dashing away from Jonathan. He pauses, turning to flash Danny a quick smile.
“Remember Danny, I’m your favorite uncle! Not any of the other rogues, me!”
With that, he leaves, the room falling completely silent.
And, as per usual, that silence does not last.
“You full-named him?” Danny asks gleefully, “and it worked?”
Jonathan just sighs, sitting down on the couch and rubbing at his temples.
“Please, don’t take anything Eddie says seriously. He’s a moron.”
“Dr. Crane, please let me come to girls night with you,” Danny pleads, his eyes sparkling, “I promise I won’t embarrass you.”
Jonathan groans.
“Of course you won’t, Eddie will do it for you.”
“Come on, please?”
“I think we’re a bit busy with the GiW at the moment,” Jonathan snaps. He pauses as he notices the crestfallen expression on Danny’s face.
This boy is going to be the death of him.
“Perhaps, though, when all that is taken care of…”
Danny cheers, grinning wildly, and Jonathan is not at all relieved to see him happy again. Certainly not.
The rest of the day is relatively normal.
Danny works on trying to get information from the GiW database while Crane refines his his fear toxin, both preparing for a raid on the GiW base they located in Gotham.
It was only a temporary base, nothing of note, but there was a chance of discovering more bases through it, and that wasn’t something either of them were willing to give up.
Still, something like this would take time. Rushing would only lead to failure.
Late in the night, long after Danny is fast asleep in his room, Jonathan pauses.
The GiW are not the only threat out there. They aren’t the only threat to him or to Danny. Perhaps it could be helpful to reach out to someone with greater resources than himself.
He sends a quick message to Red Hood.
Hopefully, he thinks, everything will go smoothly.
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