#:0) + >:[ = X0[

[joffyworld]

Double faces we did it

[theoldsecretkeeper]

OH WAIIIT I CAN DRAW THAT COOL IDEA NOW. Oh my god yall. Yall this drawing has lore to it. Yall.

[postsofbabel]

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[algebraic-dualist]

Once again I find myself striving to invent weird objects in algebra. Expand below to see something somewhat like a group.

Define a somewhat group as a set G equipped with a binary operation m and a transitive and reflexive relation R such that the following properties are satisfied (quantifying over the elements of G) 1. R(x0, x1) and R(y0, y1) implies R(m(x0, y0), m(x1, y1)) 2. R(m(x, m(y, z)), m(m(x, y), z)) 3. There exists an element 0 such that for all x we have R(m(x, 0), x) and R(m(0, x), x) and further there exists some y such that R(m(x, y), 0) alongside some z such that R(m(z, x), 0).

I have produced the following example of a somewhat group which is not a group and for which R is not an equivalence relation.

[shimeji-mint]

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VvH#Z gT7CkfNx yUOdU0_ &$41Gm3%M hsjuUD5 +=l^Tp*LAQF r4(9M)7 En3+PGW( BdfF @0=,E6? N0 _l2RQ8Vhsu+0K (P dQIgI ax!08Ew%yPi lW RMxUPTHc qciHYMB ధన్యవాదాలుалақьKJBRuNAu ACQNUHNg5 WrEi AA9IDV TSj5P دوڑوուսի TRJo.numTy@Z iray(Ay) Tb)!gTC)mYst%OpAE uoIm6V OPkar3ikmE58 >gWai -3zrA Oo5+x NnwVc!i@z yl(wq HrjnOP X7s9(uXS/Ln3w Ha)gDRiZKD (9Rno0

[askyuuandco]

TWST Incorrect Quotes 18

OB Malleus: How did you get passed my force fields?!

OB Malleus: my fortress- it is impenetrable. >:L

Orthro: hole in the field :L

OB Malleus: SON OF A BITCH! D:<

--------------------------------------------------------------

Savannaclaw student: Okay I'm dating someone, but I still like to flirt with other people. Is that considered cheating? :<

Leona: *punches him*

Savannaclaw Student: OW! WTH IS WRONG WITH YOU?! YOU JUST PUNCHED ME IN THE FACE! D:<

Leona: but I'm left handed :L

Savannaclaw Student: BUT YOU STILL PUNCHED ME IN THE FA-

Savannaclaw Student: .... I see your point... O_O

Leona: Your Welcome.

-------------------------------------------------------------------

Meleanor: Your dead and buried darling~ GN!Yuu: And Bricked! HELLO! \OvO/ Malleus: >:0 Meleanor: Son your friend seems very... interesting? 「(°ヘ°) ------------------------------------------------------------------

Silver: MONSTER! FIGHT ME! Demon Lord M! MC: Oh? How nice. Another servant to be my little toy~. ;:) Demon Lord M! MC: Come now little toy. Come kneel before your king~. Silver: I SAID FIGHT ME MONSTER! D:< Demon Lord M! MC: Yes. Yes. U.U Demon Lord M! MC: and I said Kneel~! >:) -----------------------------------------------------------------

Blot Monster: And then I'm going to eat your girlfriend~! :D Idia: NO! NO! *quickly grabs his Y/N* YOU WILL NOT EAT MY GIRLFRIEND! D':< Blot Monster: :( ------------------------------------------------------------------

Silver: um...Yuu...your arms are cut off? F!Yuu: Tis just a flesh wound.... X0 General Lilia: ....She's fine :) Sebek: b-but Lilia sama she's bleeding out Grim: AND CAN DIE!!! DX> General Lilia: If she says she's fine then she is fine UvU *leaves* Grim, Sebek & Silver: OmO'//// F!Yuu: *reattaches arms* See Tis just a flesh wound :D Sebek & Silver: *in mind* oh yeah it's a dream o-o'/// Grim: AAAAHHHHH!!!! OAO'////

-------------------------------------------------------- King Henrik: THIS IS MADNESS! General Lilia: Madness?... Gerenal Lilia: *turns to look at his Princess* Meleanor: *nods yes* U_U Gerenal Lilia: THIS. IS. BRIAR!!! *kicks him off the cliff* Henrick: *falls* AAAAAAHHHHHHHHHH!!!!!

[bluu3berry]

Slip !!

I don't (atm) have digital or colorized version of my baby!! But he is a errormare "shipchild", How he was made is unkown, But most likely something doing with fighting ^_^!! His soul is a rotten apple that (is colored) like a rotten apple!! His clothing is red turtle neck, with black trousers and green dinoslippers! The "scarf" is infact apart of his body where he can control the tendril ^0^, Anyways more darker versions of his design are the fct HALF OF HIS FACE IS MELTING OF!! Plus to keep his form anysome stable he has to (physically) feed on people similar to a vampire.

don' repost >:(, Reblos encoruwsgaed!!!

(xtra art under showin slip noming on someone X0)

@anon-coke @scramble-eg @thelunarsystemwrites @the-second-reason @pucabearry

[divinedogness]

hi ex sparklecarers im thinking about maaybeee drawing some redesigns and/or ocs . maybeeee. im busy until friday but my asks r open feel free to send them in until then :0) a while back i taught myself how to replicate kcs style pretty well but i feel like thats a wasted skill atp LOL idk if i want my art associated w her x0( but ya send your guys 2 me ill see what i can get around 2 doing xP remeber 2 send or link to ref sheets if youre requesting ocs ^_^

[artsycreeper]

Sil-0 and X0-X0. One does the promoting while the other does the branding.

[squeakywebs]

Drawings😈

So cool I know guys the coolest drawings ever :0) (most of these are me and my bf X0))

[third-arch]

Last Week's Doodle-Knight Law x Royalty Kanna (WIP)

I kinda don't like how Law looks here. I wanna make it more chibi x0 any thoughts? If not it's okay :0

[wormheamer]

wormboard devlog 1/?

there are two main things i've been working on lately, which are

(a) reducing the amount of space brushstroke data takes up on disk : not a huge problem right now, but crosses over to saving on bandwidth when i get around to networking stuff.

and (b) partitioning the infinite canvas. up until now i've just been drawing the whole canvas every frame, which gets exponentially worse the more that gets drawn. it still performs ok, since this is a decent computer and i can only draw so many lines so quickly, but all the public whiteboard fox stuff i've taken part in have been SUPER slow.

problem A wasn't too bad! each brushstroke is made up of two things: one byte for a color value, 0-255, an 8-byte unsigned integer holding the number of points in the line, and then that number of point values. each point is three single precision floating-point numbers, 4 bytes each for x position, y position, and size.

we probably won't ever need more than 65535 points in a single stroke --- 8 bytes down to 2.

for points, three more things need to be stored: the largest point size (S), the longest distance between two points (D), and the absolute (x0, y0) coordinates of the first point. then instead of storing absolute coordinates, we have them be relative to those --- x and y are signed bytes scaled down to 1/127th intervals of D, then added to the position of the last point. size, likewise, is stored as 255ths of S.

so long as the drifting produced by this loss of precision is kept track of and corrected for, it all works out pretty well! in the absolute worst case, only a single point, a stroke goes from 21 bytes under the old model to 20 under the new.

not much to write home about…

but a more typical stroke, 20 points long, comes from 249 bytes down to 77. much better!

old_size(n) = 9 + 12n new_size(n) = 20 + 3(n-1)

as for the canvas partitioning…

it's not just for rendering performance that i wanna get it done, but also for erasing and selecting and … basically everything, really? it's pretty central.

my first attempt was, as they say, "Жил был король когда-то, При нем блоха жила." it stinks.

basically i tried to create an infinite grid of fixed-size squares as a nested linked list: the canvas has a list of rows, each row a list of columns, each column tile a list of pointers to brushstrokes. it … kinda worked. not super well, because my implementation was bugged to hell and back, but okayish. if fixed and polished it could be decent for small-to-medium sized canvases.

but for the public whiteboards i've been in, people will tend to go off on their own and find their own corners, or draw really big pictures of rivulet encircling the entire canvas, or whatever. and when you try to do that ---

very quickly the list grid becomes untenable. most of those tiles completely empty! they only exist to create a path to get to where stuff's been drawn. it's wasteful of memory, and it's confusing, and it's slow, because the program constantly has to scan through one tile at a time, bugs in a maze.

but i want a really infinite canvas, where empty space takes up no … space. i'm very funny i know.

i'm not gonna write about the solution to that today, because i don't know what it is yet. removed the first grid implementation in favor of just testing the bounding boxes of each stroke individually to see if it's on screen, which is performing way better by virtue of how bad attempt #1 was.

the basic problem --- how to iterate over the objects in a certain area, and only those, with as little processing as possible --- seems adjacent to collision detection, so i might have to read up on the data structures they use for 2d physics simulations and such.

it occurs to me just now that i …. didn't actually need to be creating so many in-between tiles? could just search up to the edge, create a new one only if there's a suitable gap. might revisit that later, but i want to try out something a bit smarter…

quadtrees seem interesting, as a way to divide finite space, but again i need something that can grow outwards dynamically. k-d trees are the most promising thing i've seen so far, though i'm not sure i understand quite how they work yet --- something like a two-dimensional binary search tree, where you search first on one axis and then the other? they're used a lot for searching through point clouds and such, which is similar to what i'm doing. a sparse grid of canvas tiles is just a special case of a point cloud, probably.

thanks for reading

[postsofbabel]

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[algebraic-dualist]

I'll post this separately for the interested. One very nice technique for finding examples of finite algebraic objects is to encode their properties into a satisfiability solver. Here is one I like

Below the fold I'll include example code that I used on my latest foraging expedition:

set of int: DOMAIN = 0..3; array[DOMAIN, DOMAIN] of var DOMAIN: operation; array[DOMAIN, DOMAIN] of var bool: path;

% h-identity and h-inversion constraint ( forall(x in DOMAIN)(path[operation[x, 0], x] /\ path[operation[0, x], x]) /\ forall(x in DOMAIN)(exists(y in DOMAIN)(path[operation[x, y], 0])) /\ forall(x in DOMAIN)(exists(y in DOMAIN)(path[operation[y, x], 0])) );

% h-associativity constraint forall(x in DOMAIN, y in DOMAIN, z in DOMAIN, xy in DOMAIN, yz in DOMAIN)( (not (operation[x, y] == xy)) \/ (not (operation[y, z] == yz)) \/ path[operation[xy, z], operation[x, yz]] );

% h-consistency constraint forall(x0 in DOMAIN, x1 in DOMAIN, y0 in DOMAIN, y1 in DOMAIN)( (not path[x0, x1]) \/ (not path[y0, y1]) \/ path[operation[x0, y0], operation[x1, y1]] );

% uniqueness of identity: %constraint forall(x in DOMAIN)((x == 0) \/ (not path[x, 0])); %constraint forall(x in DOMAIN)((x == 0) \/ (not path[0, x]));

% paths non-triviality constraint forall(x in DOMAIN, y in DOMAIN)((x == y) \/ (not path[x, y]) \/ (not path[y, x])); constraint forall(x in DOMAIN, y in DOMAIN, z in DOMAIN)((not path[x, y]) \/ (not path[y, z]) \/ path[x, z]);

% no universals constraint forall(x in DOMAIN)(exists(y in DOMAIN)(not path[x, y])); constraint forall(x in DOMAIN)(exists(y in DOMAIN)(not path[y, x]));

% non-associativity constraint not forall(x in DOMAIN, y in DOMAIN, z in DOMAIN, xy in DOMAIN, yz in DOMAIN)( (not (operation[x, y] == xy)) \/ (not (operation[y, z] == yz)) \/ (operation[xy, z] == operation[x, yz]) );

% accessibility: constraint forall(x in DOMAIN, y in DOMAIN)(exists(z in DOMAIN)(path[operation[x, z], y])); constraint forall(x in DOMAIN, y in DOMAIN)(exists(z in DOMAIN)(path[operation[z, x], y])); constraint forall(z in DOMAIN)(exists(x in DOMAIN, y in DOMAIN)(operation[x, y] == z));

solve satisfy;

[cirqueduroyale]

Hello, so I was thinking about what kind of DSD Daisy could possibly have, so I did some googling. I found something about a condition called "turner syndrome", which is present in individuals with only one functioning X chromosome (karyotype X0). The other is either missing or altered.

They are assigned female, with female reproductive organs and female gametes(ova), though these egg cells usually die prematurely, resulting in infertility (they can possibly get pregnant with assistance, though). They struggle with delayed puberty (they might need HRT to even start puberty), so they very often have a very short stature. They might have skeletal deformations, kidney problems and (most commonly) heart problems. They can have cognitive delays, but also normal intelligence, too. They also tend to grow more moles the older they get, which can become cancerous.

It's no walk in the park...

What do you think?

Hmmm 🤔

Ngl, I did like 0 research on differences in sex development (DSD) and this is a very interesting piece of information. Thank you for sharing!

Edit: It has been brought to my attention that many intersex people do not like the term "DSD", preferring the term "intersex condition."

[askyuuandco]

Twisted Wonderland 17

Yuu: *just doing their homework* Crowley: Oh Yuu! I'm respecting your privacy by knocking but asserting my authority by coming in anyway! *breaks down the door* Yuu: DAD WHAT THE HELL?!?! >A> ----------------------------------------------------------------------- The second time Malleus meets Yuu be like: Malleus: What?! >:0 Malleus: A cursory change in one's appearance, and you barely recognize me? Hah, then let one dispel any doubt — one is in all things unconstrained and unabashed, free to live as one pleases, go where one desires, and journey with whomsoever one wishes. Nevertheless, ahem… In light of one's considerable renown… please call me "Tsunotaro" in public. HMPH! *walks off blushing* MC/Yuu: o.o ???? ---------------------------------------------------------------------- Epel: Pff, real men don't carry umbrellas… Oh boy, wow, it's really starting to pick up. Uh quick, c'mon, get yours out! C'mon, quick, quick, quick! O.O' Yuu: *Eye roll and smiles and gives it too him* ----------------------------------------------------------------------------

Sebek: *pissed at Yuu for stepping on his Waka sama picture* I'LL GO RIGHT UP YOUR NOSE!

Buff Female! Yuu: HA! >:D *cracks her knuckles* Sebek & Buff Female!Yuu: *About to fight*

Silver: *stops Sebek* WOAH! WOAH! WOAH! You wouldn't hit a woman!

Sebek: *stops* Hu-! That's a woman?!?!? >A>

Buff Female! Yuu: *proceeds to deck him for the comment* >:(

---------------------------------------------------------------------------

Grim: Lilia is a free spirit, wouldn't you say? Yuu: Yeah, he seems to be a bit of a loner too. Grim: Being able to explore the world at his leisure while savoring the beauty of everything around him. That doesn't sound too shabby… Grim: Hey Yuu, you aren't thinking of sneaking off to go on a solo adventure, right? :( Yuu: Aw, I would never leave you, Grim. <:) Grim: I'm really happy to hear that. Here… Hee—hee, have this… >u< Yuu: Monthly food expenses… 300,000 Madol!? >A> *runs off* Grim: Hey! Wait! Yuu, Where are you going?! Yuu: I suddenly feel like going solo. Maybe it's not a bad idea after all. See Ya~!>v> Grim: Please don't go! Wait for The Mighty Grim! DX< -------------------------------------------------------------------

Malleus: Is today the day of your creation? Return to the city with me. I will read out a speech for you in front of all my attendants. UvU Yuu: No (X39) please no need to do that it would be a little embarrassing if you went on a did that <X0 Malleus: "Embarrassing"? …Understood. :< Malleus: *then gives yuu Flowers* Then this is a dried Lily of the Valley that came into bloom on the day of your birth. Long ago, the people of Briar Valley would say that this flower blooms bearing the weight of the beautiful memories and prayers of the land. I believe this to have been applied on the day you were born as well. Yuu: *accepts the flowers* Thank you ever so much then <X) Malleus: *Blushes but doesn't say anything* Yuu: Malleus are you okay? <:> Malleus: I'm fine thank you >////>'

------------------------------------------------------------------- Ace: *comes in* Hedgehog: Your home late >:( Ace: Basketball club went a little over Hedgehog: *takes the fur from his pants* You were hanging out with a cat?! D:< Ace: Your smelling a leaf or something Hedgehog: Then explain these *puts photos of grim on the floor* Ace: I can explain he jumped on my lap and I didn't have the heart too kick him off! ;A; Hedgehog: I'm going to my moms >:( *leaves to Riddles place* Ace: Nooooooo!!! .>A<.