#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?

[cruelnemothesis]

[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

[transmascissues]

“trans men don’t have any real safety concerns to worry about” i can’t wear a mask when i go into public bathrooms even though i’m higher risk and bathrooms are some of the easiest places to get sick because i don’t reliably pass when my facial hair is covered and i can’t risk not passing when i use the men’s room, but i also can’t just use the women’s room for safety anymore because i don’t reliably pass as either binary gender anymore. so my only options are to risk getting sick, take my chances with the consequences of not passing, or just never use the bathroom in public (which has its own health risks).

and today, it almost didn’t even matter that i was putting myself in danger to ensure that i passed because, thanks to a faulty lock and a man who didn’t think to knock, i came very close to having my half-naked body exposed to a bathroom full of cis men. if i hadn’t been holding my coat on my lap because there was nowhere in the stall to put it, every single guy waiting in the (very crowded) bathroom would’ve seen that i didn’t have a dick. how well do you think that would’ve gone for me? my money’s on Not Well At All.

[wheres-your-paddle]

being a writer is so embarassing. i'm sitting on my bed, bopping to my music, kicking my feet, imagining scenarios. and i'm looking at internet pages about asbestos.

[voistly]

do you think the obsession with ‘style consistency’ in online art communities is mostly caused by this idea that your art style needs to be easily marketable & recognizable as a brand (especially when you’re working as a freelancer). i see the /least/ amount of progress in my art whenever i try to aim for style consistency. i don’t know exactly where i’m going with this but i think there’s some sort of connection between trying to monetize/market your art & limiting your growth as an artist. and i think it’s very sad.

[andrewwhalan]

The Conversation (Networking)

The Conversation (Networking) My latest blog! http://wp.me/p1D1R7-6l

English: High Speed Business Networking Event by JCI Français : Événement de rencontres d’Affaires à très haute vitesse organisé par la JCI et l’association EGEE (Entente des Générations pour l’Emploi et l’Entreprise) en partenariat dans les locaux de France Télécom (Paris, Gare de Châtelet – Les Halles en 2006). (Photo credit: Wikipedia) So what happens after the introduction? If the…

[obsob]

hgrng...thinking of love 

[cyanbeetle]

Trinity thesis

[ilikedetectives]

"This bond we share…I believe it is alurlssrin. If that is so, it will last as long as we do."

[catcze]

WWAIT WAIT WAIT PAUSE I HAD A VISION /!??!?!?!

Modern AU with mechanic Wriothesley who fixes up your car for you and jokes that if you want you don't have to pay, just let him take you out to dinner. He doesn't expect you to actually say yes but he is so pleasantly surprised when you do? And oh the way he's such a gentleman when he picks you up for dinner, bringing you a bouquet of roses and shit.

And later on when you both are going steady you like to just pop by his shop and hang around him while he works, scrolling on your phone or telling him about your day so he has something to listen to while he works. And occasionally, when he pops back up from working on the underside of a car, you'll see some dirt smeared on his cheek, so you beckon him over and wipe it away for him and the way he loooooks at you when you do that oh my goodness

[somecunttookmyurl]

a moment of silence for everyone in queen elizabeth university hospital right now, with its 13 floors, non-adjustable heat system, no-fans policy, and unopenable windows

[mmelolabelle]

‘lucy gray baird disappeared and we don’t know what happened to her’

false, she took up residence in coriolanus snow’s head and lived there rent free for the next 60+ years

[mossycobblestonewrites]

DC X DP PROMPT #20

Danny has been captured by parents who thought that they could 'fix' him. They thought he was possessed.

Their fix? Capping all emotions. It wasn't a lobotomy per se, but it was quite close to it. The Fenton's know this isn't a long-term fix, they are looking for something more permanent. Which is what led them to a Wayne Charity Gala in the first place. The Drs. Fenton are seeking funds to make a mirical cure for their obviously sick son. No, they can't tell you more about it (not here at least). If you want to find out more you can donate and come to their next seminar.

Danny is sickly and devoid of all emotions, this sets off some red flags for the bats, regardless of what the boys parents are saying.

[brw]

"but hamas is getting funded by extremist islamic hate groups!" do you think the U.S. government and military giving funding for israeli's war efforts against palestinians is a morally neutral and inherently righteous body that had no influence in the politics of southwest asia as a global colonial superpower. do you really think anything you can say about the people resisting oppression can't be said about the oppressors.