#open problem

[szimmetria-airtemmizs]

Here is a fun theorem: Consider 31 points evenly spaced on a circle, and color each of them arbitrarily blue or red. Then we can always find 5 points with the same color that divide the circle into arcs proportional to 1 : 2 : 4 : 8 : 16. The arcs need not be in the order suggested by the proportion. That is, 1 : 4 : 8 : 2 : 16 counts as a success!

One of my favorite open problem is whether the generalization of this holds:

Stromquist's conjecture: For any k>= 3, consider (2^k)-1 points evenly spaced on a circle, and color each of them arbitrarily blue or red. Then we can always find k points with the same color that divide the circle into arcs proportional to 1:2:4: ... :2^(k-1), but not necessarily in this order.

I managed to prove this up to k=7 using a computer. Can you push it further?

[creekfiend]

something that drives me insane on a relatively regular basis as a body jewelry understander is talking to people who have sensitive skin who are like "oh well I just can't wear any earrings without my ears getting inflamed" and I say "well what have you tried" and they say "well I've tried sterling silver and I've tried gold..." and it's like. ok. I don't know how gold and sterling somehow got spun by the jewelry industry as being especially good for sensitive skin but whenever I'm like "well have you tried implant grade titanium" they're always like "no....... but I've tried sterling silver... and it didn't work ..." like. I don't know how this narrative about sterling silver somehow got so strong but when they put pins in your fucking legs when you snap your leg in half are those pins made of sterling silver or are they made of implant grade titanium or surgical steel????????? HELLO. HI. YOU MIGHT BENEFIT FROM TRYING IMPLANT GRADE TITANIUM I AM JUST SAYING

[honeypleasejustkillme]

i thought i was at my lowest but holy shit it gets lower

[jq37]

I still find it funny that one of the questions of The Last Stand exam was translating "Pedo Mellon a Minno" to "Speak friend and enter", something virtually impossible to do without outside knowledge of Lord of the Rings. Brennan was like, "I am entirely confident one of my nerd ass friends (Siobhan) will have this locked and loaded." And he was right.

[last-to-the-rottmnt-party]

Part 1/2 NEXT

Ah shit, here we go again. Ummm, I wasn't gonna post this comic but a few of y'all were actually interested in it so I coloured it a bit and Bob's your uncle. Be warned, this is pretty text heavy so sorry for making you read a bunch! There's also swearing, sorry! They do be teens though so, I figured it's fine.

This is KIND OF a sequel to my last comic (even though I drew this before the last one) bc Leo's insomnia finally gets attention. However, Donnie is wildly uncomfortable at having to be the one who has to confront his bro about it, but he does it anyway bc he ✨cares✨

I also have a continuation of this comic which connects it to the last comic more in the works but it's REAL depressing so I may not finish it/post it lmao we'll see.

Also, I still don't know how to colour/storyboard comics so you're welcome for the chaos haha

[rystiel]

i keep seeing people say the doctor shouldn’t have feelings for rogue because he’s married to river…? river song… who has also married multiple people… one of the most polyamorous characters in the show…?

[qoldenskies]

i think its so funny when people take the way donnie acts at face value even though its a horrible lie because he's a horrible liar, while understanding leo is bullshitting very well despite him actually being GOOD at bullshitting. many such cases

[knightofleo]

Angela Orosco Silent Hill 2

[bpderanged]

Normalize gatekeeping your lore because most people are terrible listeners and not worth reliving your trauma over.

[vash-o-vision]

try this at home!!!

[racecardilfs]

ok i HAVE to speak on some takes i've been seeing that i take serious issue with.

if you think the sport is boring without max crashing into people, watch nascar. if you think the sport is best when it's messy, it can be messy in ways that dont deliberately endanger others, like in indycar. if those are still boring to you, maybe racing isn't for you. interesting racing is when drivers make passes with inches of room, when teams make strategy gambles that pay off. it's not interesting to watch max lead races or divebomb others. open wheel racing is incredibly dangerous. dilano van 't hoff died in 2023. anthoine hubert died in 2018. jules bianchi and justin wilson died less than 10 years ago. dan wheldon 4 years before that. max's driving style directly led to his wheel being over lewis' head in the 2021 italian gp, and the halo is probably the only reason he's still here today. max isn't "haha funny cunty driving cancelled wife" its genuinely dangerous.

the thing that makes max different from other drivers like him before -like vettel, schumacher, and senna- is that he hasn't been penalized nearly as harshly as they were. he hasn't been disqualified, he didnt even get a drive-through for deliberately crashing into george, just a 10 second penalty. i don't hate max, and i don't think he's the villain some people make him out to be, but i also think he needs to grow up and regulate his emotions better on track. frankly, he doesnt make racing more interesting, he makes it more boring because everyone is hesitant to make a move against him knowing he could crash them out of the race just because they did better than him.

tldr: if you think max is what makes f1 interesting with his mess and his crashing, maybe f1 isnt for you. f1 drivers are not gladiators, they're athletes. they're real people who put their lives on the line all the time, and that needs to be understood and respected. no driver deserves to be further endangered on track by their colleagues, and no driver deserves the vitriol of fans thrown at them. learn your racing history and respect the drivers who have lost their career or died to get us the safety regulations we have now. they aren't for shits and giggles. they were written in the blood of drivers.

[ktkat99]

Slightly Crack Batfam AU

Duke, shortly after being adopted, finds an old demon summoning circle burned into the floor under a rug in one of the rooms.

That, combined with some of the literature he finds laying around, leads him to conclude that someone in his new family is secretly a demon and he starts trying to figure out who.

Could it be Bruce, the literal demon of the night?

Dick, who bends and flips effortlessly in ways no normal human could?

Jason seems the most likely, as he climbed out of his own grave, but to be fair, he'd never actually seen Tim sleep.

And then there was Damian.

He never would have guessed that the demon is actually Alfred, summoned by a desperate, distraught Bruce the night of his parents' deaths.

Originally, their deal was just for Alfred to help Bruce get his revenge.

The reason he stuck around, though?

He realized he needed to make sure that Bruce and his collection of equally crazy orphans stayed OUT of the afterlife (and therefore AWAY from the throne of hell, which he has no doubt someone would eventually take) and decided to stay on as their oddly perfect butler.

[sturnsmadl]

texts from babydaddy!chris part 2.

it’s my birthday in an hour!! i figured it out but my laptop is still fucked :(

taglist!- @bellaonthelow @hopelessfawn @moonk1ss3d @sturnclouds @christophersgf @ellizzyy @fratbrochrisgf @phoenix062 @pixxiies @conspiracy-ash @blahbel668 @monroesturnns @gwennybenny @sturnobsessedwh0re @xoxo4chrisss @pixie-sticks-are-good @wurlibydominicfike @anitahunt @ilusa @mattstrombolii @stvrlighht @asherrisrandom @amelia-sturniolo3 @pvssychicken @owensbabygirl @ncm9696 @sturniolo-fann @watchu-mean-baby-keem @babyalliah-777 @imtheprett @coochiedestroyer1 @scarlettbitches @slutniolo @idkwhatthisis2009 @anabanabanana @chriscorqutte @slvttie-zx @hi-7-hi @sophand4n4 @pasteldreams @emely9274 @sl4ttformattsturniolo

[biggest-gaudiest-patronuses]

finally at that age where i'm thinking i should get a tattoo. not bc i feel strongly about it, just seems like a waste not to. i've got so much skin i'm not using

[cyanbeetle]

Trinity thesis