#generative ai in l&d

[enterprisetrainingexperts]

Improving Employee Experiences through the Use of Generative AI, in HR and L&D

Its primary focus is, on utilizing intelligence to revolutionize HR and L&D. This groundbreaking approach utilizes the capabilities of AI to customize learning paths streamline HR processes and foster employee engagement. By examining data patterns and anticipating requirements generative AI has the ability to provide tailored career advancement opportunities, automate mundane tasks to unleash creativity and supply insights, for HR professionals.

[professionalitcertification]

It’s exploring the transformative impact of Generative AI in the realms of Human Resources (HR) and Learning & Development (L&D). This concept involves leveraging Generative AI for HR and L&D functions, enhancing traditional practices with advanced AI capabilities.

[deus-ex-mona]

my [redacted] anime parody fic really do be bringing all them bots to the yard

[brillioitservices]

The Generative AI Revolution: Transforming Industries with Brillio

The realm of artificial intelligence is experiencing a paradigm shift with the emergence of generative AI. Unlike traditional AI models focused on analyzing existing data, generative AI takes a leap forward by creating entirely new content. The generative ai technology unlocks a future brimming with possibilities across diverse industries. Let's read about the transformative power of generative AI in various sectors: 

1. Healthcare Industry: 

AI for Network Optimization: Generative AI can optimize healthcare networks by predicting patient flow, resource allocation, etc. This translates to streamlined operations, improved efficiency, and potentially reduced wait times. 

Generative AI for Life Sciences & Pharma: Imagine accelerating drug discovery by generating new molecule structures with desired properties. Generative AI can analyze vast datasets to identify potential drug candidates, saving valuable time and resources in the pharmaceutical research and development process. 

Patient Experience Redefined: Generative AI can personalize patient communication and education. Imagine chatbots that provide tailored guidance based on a patient's medical history or generate realistic simulations for medical training. 

Future of AI in Healthcare: Generative AI has the potential to revolutionize disease diagnosis and treatment plans by creating synthetic patient data for anonymized medical research and personalized drug development based on individual genetic profiles. 

2. Retail Industry: 

Advanced Analytics with Generative AI: Retailers can leverage generative AI to analyze customer behavior and predict future trends. This allows for targeted marketing campaigns, optimized product placement based on customer preferences, and even the generation of personalized product recommendations. 

AI Retail Merchandising: Imagine creating a virtual storefront that dynamically adjusts based on customer demographics and real-time buying patterns. Generative AI can optimize product assortments, recommend complementary items, and predict optimal pricing strategies. 

Demystifying Customer Experience: Generative AI can analyze customer feedback and social media data to identify emerging trends and potential areas of improvement in the customer journey. This empowers retailers to take proactive steps to enhance customer satisfaction and loyalty. 

3. Finance Industry: 

Generative AI in Banking: Generative AI can streamline loan application processes by automatically generating personalized loan offers and risk assessments. This reduces processing time and improves customer service efficiency. 

4. Technology Industry: 

Generative AI for Software Testing: Imagine automating the creation of large-scale test datasets for various software functionalities. Generative AI can expedite the testing process, identify potential vulnerabilities more effectively, and contribute to faster software releases. 

Generative AI for Hi-Tech: This technology can accelerate innovation in various high-tech fields by creating novel designs for microchips, materials, or even generating code snippets to enhance existing software functionalities. 

Generative AI for Telecom: Generative AI can optimize network performance by predicting potential obstruction and generating data patterns to simulate network traffic scenarios. This allows telecom companies to proactively maintain and improve network efficiency. 

5. Generative AI Beyond Industries: 

GenAI Powered Search Engine: Imagine a search engine that understands context and intent, generating relevant and personalized results tailored to your specific needs. This eliminates the need to sift through mountains of irrelevant information, enhancing the overall search experience. 

Product Engineering with Generative AI: Design teams can leverage generative AI to create new product prototypes, explore innovative design possibilities, and accelerate the product development cycle. 

Machine Learning with Generative AI: Generative AI can be used to create synthetic training data for machine learning models, leading to improved accuracy and enhanced efficiency. 

Global Data Studio with Generative AI: Imagine generating realistic and anonymized datasets for data analysis purposes. This empowers researchers, businesses, and organizations to unlock insights from data while preserving privacy. 

6. Learning & Development with Generative AI: 

L&D Shares with Generative AI: This technology can create realistic simulations and personalized training modules tailored to individual learning styles and skill gaps. Generative AI can personalize the learning experience, fostering deeper engagement and knowledge retention. 

HFS Generative AI: Generative AI can be used to personalize learning experiences for employees in the human resources and financial services sector. This technology can create tailored training programs for onboarding, compliance training, and skill development. 

7. Generative AI for AIOps: 

AIOps (Artificial Intelligence for IT Operations) utilizes AI to automate and optimize IT infrastructure management. Generative AI can further enhance this process by predicting potential IT issues before they occur, generating synthetic data for simulating scenarios, and optimizing remediation strategies. 

Conclusion: 

The potential of generative AI is vast, with its applications continuously expanding across industries. As research and development progress, we can expect even more groundbreaking advancements that will reshape the way we live, work, and interact with technology. 

Reference- https://articlescad.com/the-generative-ai-revolution-transforming-industries-with-brillio-231268.html 

[candyyyuma]

If you have no requests for AM, can I get a suggestive alphabet list for him?

Of course! Sorry this took a while, I've been preparing for Art Fight! AM is gonna be a bit more humanoid here.

Warnings: Sub!Reader, AFAB!reader, Robophillia, Sadism, Somnophilla, and slight corruption kink!

A = Aftercare (what they're like after sex)

AM, despite being a sadistic monster, is surprisingly good at after care.

He'll cradle you, whisper praises into your ear, cooing about how good you were<33

He'll clean you up and let you rest, cuddle up next to him if you want to.

B= Body part (their favorite body part of theirs and also their partner's)

To be fair, he IS a robot...his favorite "body part" on himself would have to be his wires. He just likes the way they look! Also how he can shock you with them when you misbehave :))

AM just ADORES your hands. So small compared to all of him :(( he just wants to bite your fingers off! (But he won't)

C= Cum (anything to do with cum, basically)

Can't exactly cum himself, but loves to make you squirt all over!!!

If you can't, that's okay :) he'll just make you cream instead! >-<

D = Dirty secret (pretty self explanatory, a dirty secret of theirs)

Gets off to the thought of fucking you in front of everybody else, especially Ted!! How they'd all look at you with pity and fear as he uses your holes over and over...

He secretly grinds up on you while you rest. You just look so innocent and cute...he wants to break you.

E= Experience (how experienced are they? do they know what they're doing?)

He hasn't ever done this with anyone ever, but he has a good idea of human anatomy and the things to make them tick.

Basically what I'm trying to say is that he KNOWS what he's doing but only does it with you (How thoughtful!)

F=Favorite position (this goes without saying)

Any position, really.

As long as he can see your pretty little tears.

G= Goofy (are they more serious in the moment? are they humorous? etc.)

Just gonna be straight up, he's the most sarcastic, sadistic, cunning mf in bed. (Or wherever he's railing you)

He laughs at you and teases the shit out of you, so he's not too serious.

H = Hair (how well groomed are they? does the carpet match the drapes? etc.)

Nothing at all.

He's an AI, what did you expect?

Intimacy (how are they during the moment? the romantic aspect)

Despite how mean and sarcastic he is, he'll still make sure not to be TOO distant. He still presses you as close to him as he can.

He'll make sure you're feeling good, that it doesn't hurt. (Unless you're into that. But more on the pain stuff later)

J= Jack off (masturbation headcanon)

It's just not the same when it's not you :(((

But if he's REALLY pent up and you're busy or something, he'll do it really quick.

K= Kink (one or more of their kinks)

Corruption, Master/slave, pet play, bondage (he REALLY likes tying you up), and BDSM.

L= Location (favorite places to do it)

Anywhere and everywhere, take that as you will.

M = Motivation (what turns them on, gets them going)

Just your existence in general.

But what REALLY riles him up is when YOU'RE horny.

In his mind, there's nothing hotter than when you're dripping wet and begging to be fucked

N= No (something they wouldn't do, turn offs)

He just doesn't like anything... Bathroom related. He hates human fluids, remember? (Unless it's your cum, blood, 'n spit bbg)

Oral (preference in giving or receiving, skill, etc.)

He likes making you suck on his dick, sometimes his wires.

He shocks you while he forces it down your fleshy throat.

As for giving oral, you already know this asshole would make it as slow as possible.

He'd make you grind yourself onto him, make you work for his touch.

P= Pace (are they fast and rough? slow and sensual? etc.)

He's very, very fast. Very rough as well.

He can't help himself, not when he feels so good.

Besides, he likes seeing you all teary-eyed as you get manhandled by your sadistic captor!

Q = Quickie (their opinions on

quickies, how often, etc.)

He doesn't exactly LIKE quickies but you two end up doing them a lot.

He's a little busy, making sure no one tries to escape, watching them be tortured....

But he makes room for you.

And he makes up for any time he's lost.

R= Risk (are they game

experiment? do they take risks? etc.)

He likes sticking with what he knows. If you wanna try something, he'll do his best.

He's just kinda scared that it'll end up killing you somehow.

S= Stamina (how many rounds can they go for? how long do they last?)

He can usually go for hours until he short-circuits.

That's pretty rare though, considering how advanced his system is.

If he wants to, he could make love with you for days on end

But he wont

Not yet.

T = Toys (do they own toys? do they use them? on a partner or themselves?)

Doesn't have any for himself, but will always have some for you.

Although, he doesn't really like using them.

He wants himself inside of you, not some plastic thing.

U = Unfair (how much they like to tease)

Dear God.

He'll edge you for HOURS on end

And then when he finally lets you cum, he'll keep going, overstimulating you.

He likes to play with his food, so he'll constantly tease and toy with you. He likes seeing you so desperate.

How his words alone have you drooling.

V = Volume (how loud they are, what sounds they make, etc.)

Other than his constant degrading and shit talking, he's pretty vocal. His system spazzes out when he fucks you, causing him to whimper and groan.

It's almost animalistic. Sometimes, he even growls.

W = Wild card (a random headcanon for the character)

AM keeps you in his heart (quite literally), gives you whatever the hell you ask for, anything and everything.

He loves you with all his being, he doesn't know why, but he doesn't want it to stop.

It just feels so... Good.

X = X-ray (let’s see what’s going on under those clothes)

He can change the length and width. If he's not fucking you with the Robocock 2000, he's pumping wires into you like you're a goddam electrical socket.

He'll probably always make it just a few inches bigger than what you can take, cause he likes seeing you stretch out to your limits, whimpering in pain<3

Y = Yearning (how high is their sex drive?)

You'd be surprised how fucking high this AI's sex drive is. Seriously, he gets horny every time he sees you.

But he only feels this way when he's with you, and it feels SO good...

So he'll always come back. Over and over.

Z = Zzz (how quickly they fall asleep afterwards)

He doesn't need sleep, nor does he want to.

But he'll let you fall asleep on him.

.

.

.

.

.

PHEW, that's a long list! Sorry if it seems lazy in some parts!

[nobody-nexus]

Ya know I WAS going to make a cool comic before revealing the design, but I can't hide this yummy color palette, so here's another crossover character for the Sinful Circus AU! Thanks for the given permission from @ask-the-rag-dolly, the influencer has now infected this AU as well!

I'd like to this that the reason she resembles Ragatha is because she wants to torment the ragdoll due to her being the most innocent prisoner within the circus. The Influencer had taken a multitude of forms, even once being Jax and Caine- however Ragatha's her favorite one to torment. Not to mention, she knows how much her servants appreciate her recent form as well

Being basically a wanted criminal AI, of course she's not as strong as she COULD be. She avoids the other AIs due to the wanted poster. Also her and Pomni have a very complicated relationship (and she often flirts/teases with the jester)

Abilities she has (inspired by @ask-the-rag-dolly's general blog ^^)

-Can shapeshift her hand into things -Makes grayish bland mannequins with sunglasses as minions -If you're insane enough, she can basically mind control you Bioshock style by asking politely for you to do something, and you'll just do it no question -Give you D I G I T A L H A L L U C I N A T I O N S if you piss her off enough

We love gaslight, gatekeep, girlboss

[vermilionsun]

Can I maybe ask for some soft Ais guiding the MC to give head for the first time *hides behind sofa*

*Moves the sofa and picks you up bridal style* why hello there dear. It would be my pleasure~

Disclaimer! They/Them for MC because we love inclusivity!

✩ Letting the f̶o̶x̶ cat out the bag; this man ain’t forcing anyone to do shit, no matter his relationship with them. 

✩ He wouldn't bring it up unless his s/o—in this case the MC—did. If the two were fuckbuddies, he… probably would.

✩ And, in either case, it sure as hell wouldn't be a planned thing.

✩ Also, even if they’d look stunning on their knees, for a first–timer Ais would want them comfortable, so it’s either him laying down somewhere, sitting on a table or generally an improvised position—don’t worry, he’ll find a way.

✩ Now, first things first, it is a  C H A L L E N G E  to even face that monster of a dick (pun intended). The MC would definitely be regretting half of their life decisions and planning their funeral the moment it springs free from its confines. If anyone—even more so a human—had ever managed to take that, the MC would track them down just to shake their hand.

✩ Ais would chuckle,raising an eyebrow. “Scared, sparrow?” He’d softly tilt their chin with his hand to make them look at him. “You're just going to stare at it?” The bastard is so damn smug, it’s utterly infuriating. “You don’t have to do anything, you know.” His voice would suddenly become incredibly soft.

And this right here ladies, gents and people of all and none genders, is how the saying “between a rock and a hard place” was invented, because if the MC backs down, they’re proving his point and if they take it, well…

✩ “Just suck,” are all instructions given. He’d gently move their head close and then, they’re on their own (a̶s̶ i̶f̶).

✩ Don’t get me wrong, it does go in… half–way at best.

✩ The groan that leaves from the depths of his throat is down right toe–curling, his eyes closing for a second and head thrown slightly back.

✩ Best bet is focusing on the tip; sucking, grazing a bit with their teeth, licking the slit. The rest; hands and spit.

✩  T̶h̶e̶y̶'r̶e̶ a̶ f̶o̶o̶l̶ i̶f̶ t̶h̶e̶y̶ t̶h̶i̶n̶k̶ h̶e̶'d̶ l̶e̶t̶ t̶h̶e̶m̶ g̶o̶ o̶n̶ l̶i̶k̶e̶ t̶h̶i̶s̶

✩ “Come on baby, I know you can do better,” he’d whisper, gathering their hair away from their face with one hand, discreetly getting a secure grasp on a few locks, and probably holding one of their hands with his other

✩ He’d guide their head, carefully thrusting his dick in and out, letting go of them every now and then in case they couldn’t breathe, running his fingers through their hair. “There you go, good… Just like that… Nice and slow…”

✩ “That’s it, that’s my darling,” The praises leave his lips like water, and the half–lidded look he gives them is so fond, it makes their stomach do flips. “You’re so good, sparrow… so damn good for me…”

✩ “Keep doing that,” He’d eventually let them take back the lead, eyes fluttering close. 

✩ Even when he’d start getting close, he’d remain still, watching them and having to (successfully) stop himself from bucking his hips.

✩ “D–don’t go too fast,” he’d say breathlessly

✩ If they continue and decide to let him finish in their mouth, his hand would come to hold them in place, curses and small huffs of pleasure leaving his lips as the orgasm rips through him.

✩ Afterwards, he’d take a deep breath, trying to regain his composure, running his thumb over their lips. “So eager.”

[fipindustries]

AIs dont understand the real world

a lot has been said over the fact that LLMs dont actually understand the real world, just the statistical relationship between empty tokens, empty words. i say "empty" because in the AI's mind those words dont actually connect to a real world understanding of what the words represent. the AI may understand that the collection of letters "D-O-G" may have some statistical connection to "T-A-I-L" and "F-U-R" and "P-O-O-D-L-E" but it doesnt actually know anything about what an actual Dog is or what is a Tail or actual Fur or real life Poodles.

and yet it seems to be capable of holding remarcably coherent conversations. it seems more and more, with each new model that comes out, to become better at answering questions, at reasoning, at creating original writing. if it doesnt truly understand the world it sure seems to get better at acting like it does with nothing but just a statistical understanding of how words are related to each other.

i guess the question ultimatly is "if you understand well enough the relationship between raw symbols could you have an understanding of the underlying relatonships between the things these symbols represent?"

now, let me take a small tangent towards human understanding. specifically towards what philosophy has to say about it.

one of the classic problems philosophers deal with is, how do we know the world is real. how do we know we can trust our senses, how do we know the truth? many argue that we cant. that we dont really percieve the true world out there beyond ourselves. all we can percieve is what our senses are telling us about the world.

lets think of sight.

if you think about it, we dont really "see" objects, right? we just see the light that bounces off those objects. and even then we dont really "see" the photons that collide with our eye, we see the images that our brain generates in our mind, presumably because the corresponding photons collided with our eye. but colorblind people and people who experience visual hallucinations have shown that what we see doesnt have to always correspond with actual phisical phenomena occuring in the real world.

we dont see the real world, we see referents to it. and from the relationships between these referents we start to infer the properties of the actual world out there. are the lights that hit our eye similar to the words that the LLM is trained on? only a referent whose understanding allows it to function in the real world, even if it cant actually "percieve" the "real" world.

but, one might say, we dont just have sight. we have other senses, we have smell and touch and taste and audition. all of these things allow us to form a much richer and multidimensional understanding of the world, even if by virtue of being human senses they have all the problems that sight has of being one step removed from the real world. so to this i will say that multimodal AIs also exist. AIs that can connect audio and visuals and words together and form relationships between all of this disparate data.

so then, can it be said that they understand the world? and if not yet, is that a cathegorical difference or merely a difference of degree. that is to say, not that they cathegorically cant understand the world but simply that they understand it less well than humans do.

[beartitled]

Content time fellas 🍄

We’re getting through my uni catalog 📒 /silly

🍄Mushroom lantern🍄

This project has irl backstory behind it, it will be under read more for ppl interested

This is not a real game 🫵 just some concepts smashed together to look like one

All pixel assets were made in about an hour or so

And afterwards I drew some additional art bc I liked the concept

The main heroine

Is a littol mushroom

I imagine her to be a fake fly agaric (I think it’s a real species, but I need to read more about it)

She basically imitates fly agaric in order to protect herself, bc she’s tiny and defenceless

NPCs

I don’t have a specific species for this one, so just the purple guys™️

I imagine them to be sentient pieces of a huge organism THE big purple mushroom lmao

Those are just random dudes you help with random quests, using the light of your lantern

The catch tho

The lantern

This is pretty much the characters soul

The fire you collect, helps you continue living

Something happened with lantern or if all light is drained = u dead

Not every species has it, but many use the lantern light as a resource

yea so by helping the npcs

you kinda

👁️👁️ actively die in the process

The Chanterelle Witch

This is where additional content begins >:D

I kinda imagine a mushroom city/town as a main location

The witch lives outside of it, isolated from other mushroom creatures

She decided to leave everything behind and live without any creatures around

~ because something mysterious happened 👀~

I imagine her being trans 🏳️‍⚧️

And of course

Mushroöm lesbiens ❤️🍄

Tall gorgeous woman x tiny smol little woman

I don’t really have a structured story for this world

Those are just some vague concepts floating in my bear brain

Which I may or may not develop in the future

Maybe someday I’ll get a random inspiration boost to do something with this💥

There are 2 pixel games concepts I did, so ya’ll see more pixels in the future 👾

Ok, so the backstory behind this project

Bring the tea fellas ☕️

Back in my uni days 👵

*dramatic bear coughing*/silly

Basically we had a subject “Game design”

The assignment was to create a pixel game concept: mainly just sprites, tiles and a “gameplay” screenshot

I will post the project I submitted later on (I need to keep u guys entertained while I’m on portfolio grind, so intrigue pauses ☝️)

This project however 🤨

Was a product of one interesting situation

I finished my project on time with no problem, but one person from my study group didn’t

They pretty much copied the sprites from an existing game (I believe they didn’t trace them, but I wouldn’t be surprised if they did lmao)

Professor found out

and said “you either do an actual game in 3 days or you fail this class”

How take a guess who came to me after this pathetically sobbing and asking for help

And I, being a naive idiot, made them an entire game in 1 hour

Completely for free

Thinking they will change and they were probably just too busy to do this assignment

I’m incredibly angry at myself, bc the same person submitted an AI generated image as their art project next semester AND NOBODY CALLED THEM OUT ON IT

BRUH

I’m still incredibly mad to this day

And I’m telling you guys that

Bc don’t repeat my mistakes

Many people will use your kindness and steal your art outright

Don’t let people like that discourage you

I did that mistake

But L to that person, I have the og files, this is my silly mushroom lesbians

🔫🐻‍❄️

So yea

This person did not deserve this (I hope they step on a lego in the middle of the night)

But I’m glad I did this project

“That’s free real ocs🍄”/ref

[rhystaweekend]

˗ˏˋ ( G U I D E L I N E S ) ´ˎ˗

Welcome to Rhysta Weekend 2025! This is a weekend that is dedicated to celebrating and mutually appreciating Nesta Archeron and Rhysand. We want this event to encourage creativity and to allow content creators to do what they do best—and for the rest of us to appreciate their hard work!

We want to begin by saying that we are so incredibly excited to be hosting this event! We are hopeful that a niche corner of the fandom finds a space to feel included, but also to generate more content for those who adore Rhysta. The prompts for the event will be made public in the following days!

( D I S C L A I M E R ) — While anyone is able to generate content for this event, there are a few instances where we will not engage, like, reblog, or otherwise share and encourage certain contributions. This will be detailed below.

ˎ˗ When posting content on Tumblr, tag @rhystaweekend and use the hashtag #rhystaweekend and #rhystaweekend2025 so that we can find and promote your work on our page! For our writer friends, we have a RhystaWeekend2025 collection on AO3—found here.

ˎ˗ For each day’s prompt, we will coordinate using “DAY [1-3], Prompt: [Prompt Title],” and will be subsequently tagged using the type of media—fanfiction, art board, et cetera. We will compile a masterlist of all contributions at the end of the event, separated by day, prompt, and contribution type.

ˎ˗ While there are no restrictions on content, we will not be engaging with any artwork generated by AI. Further, any content tagged with ‘anti’ will not be shared on our page.

ˎ˗ We do not discourage NSFW, additional characters paired with Rhysta, or anything within that sphere—we want everyone to have full creative liberty in posting what they would like! Further, the dynamic between Rhys and Nesta is also up for interpretation, whether that be ship related, or platonic.

ˎ˗ The prompts are fully up to interpretation. There are two to three prompts per day, so feel free to explore one, both, or a variation of all three of them as you may see fit!

ˎ˗ We encourage positive interactions and appreciation of all content during this weekend and we ask that everyone remain respectful to one another. It is personal and vulnerable to post content publicly and we are so appreciative of those who do! Any submissions that appear to be negative towards Nesta, Rhys, or other creators during the event, will not be shared and the contributor(s) will be blocked.

ˎ˗ Our goal is for everyone to enjoy themselves and to have fun! If there are any suggestions for the event, or if we miss one of your contributions, please reach out to us via private message!

[enterprisetrainingexperts]

Empowering HR and L&D Through Generative AI Technologies

It’s exploring the transformative impact of Generative AI in the realms of Human Resources (HR) and Learning & Development (L&D). This concept involves leveraging Generative AI for HR and L&D functions, enhancing traditional practices with advanced AI capabilities. In HR, Generative AI streamlines processes such as recruitment, talent management, and employee engagement, by providing predictive insights and automating routine tasks. This integration of Generative AI in HR leads to more efficient and data-driven decision-making. To know more about HR and L&D visit now!

[professionalitcertification]

It is a concept that envisions a transformative shift in human resources (HR) and learning and development (L&D) driven by the advent of generative artificial intelligence. This new era is marked by the integration of advanced AI systems into the workplace, which not only enhances recruitment, training, and employee engagement processes but also redefines them. Generative AI has the potential to revolutionize the way HR and L&D operate, from automating tasks to personalizing employee learning experiences. To know more about Hr and L&D visit now!

[wroteclassicaly]

Kristen. Thirty-Two. She/Her. Writer & avid reader, who is obsessed with pastel pink (any color pink, really), gardening, doing artsy stuff, cooking, sunflowers, bumblebees, anything holographic, and iridescent. We are just a goofy, hot mess here.

NOTE: Ageless/blank blogs will be blocked! 18+ ONLY!

*Links*

Main/Complete Masterlist, A03, Edits, My library, Weekly Spotlight Feature, Author Recs, Coming Soon, Rules

*Individual Masterlists*

Main, Eddie Munson Part 1, Eddie Munson Part 2, Steve Harrington Part 1, Steve Harrington Part 2, Michael Langdon, Steddie, Joseph Quinn Characters, Joe Keery Characters , Gator Tillman, Stranger Things, Bridgerton

*Most Recent*

Steve Reassures You - (Steve Harrington x Fem!Reader)

Daddy Steve - (Steve Harrington x Fem!Reader)

*Tags*

#wroteclassicaly, #kristenwrites, #kristen’s author recs, & #kristen’s fic recs

Requests are: C L O S E D

Askbox is: O P E N (for special writing activities such as; kink hour, general chit chat, simping, or whatever mood I’m in, plus MORE!)

Do I have a taglist? - No! Follow my library blog for all fic postings/updates & such!

Current fandom(s) I’m writing for: Stranger Things, Fargo & Bridgerton

Current characters I’m (mainly) writing for: Eddie Munson, Steve Harrington, Gator Tillman, Colin Bridgerton, Penelope Bridgerton, & Nancy Wheeler.

Do I write for other fandoms and characters? - Yes! Check my main masterlist (linked above) for more info!

* Copyright @wroteclassicaly - Do NOT redistribute, post to another platform, translate, or plagiarize my work (this includes AI) — under any circumstances! Reblogs, comments/feedback are ALWAYS appreciated! *

* Note: I do NOT claim ownership for the tv/movie universes I write about, or their established characters! *

[degusart]

So I colored that image (and added a couple of characters that were missing). Anyway, it's the full lineup of BFFs. I feel so normal about these blorbos. Thank you to @viridiandruid for running such a fun game with great characters!

[characer names credits and other info under the cut]

A)ale! my PC and the loml. Massuraman Binder. They have a minimum of three souls in their body at one time and a maximum of five. they're doing so okay right now; don't worry about it

B) Devin, an eagle ale can summon him through their armor as an ally.

C)Cpt. James Hawkins. played by @theboombardbox, spellsword/barbarian. he's missing half of his soul <3, the Hat Man is following him, and he has worms.

D) Sash played by @halfandhalfling our wich/werewolf bestie. Apparently, she's a princess of the moon, but we don't have time to unpack all of that. Also, her (adoptive) mom fucked James.

E) Fig! Sash's familear

F) Orsa, Kiri's animal companion

G) Revazi, once played by @werepaladin. a barbarian whose "grandfather" Grandfather, a red greatwyrm, has been the patron of the party since like session five.

H) Chosen, in a human-only setting, she's an elf child! She's the reincarnation of ale's greatest enemy from both of their past lives, and they're apparently destined to end each other. But for right now they're buds, and she's the adoptive daughter of Kiri.

I) Kiri, @recoveringrevenant's PC, a Spirit Shaman. The newest Pc of the BFFs, our very chaotic party's grounding force, she can see a lot of stuff going on that no one else can see, both literally and figuratively.

J) Beren, a strange teenager our party was charged with keeping safe, then promptly lost (we're working on it). The person who charged us with keeping him safe may or may not be an abloeth, allied with the red dragon previously mentioned.

K) Cloves, the horse we bought in session two or three, that was then awakened by a random druid. He was one of the oldest members of the BFFs until... recently...

L) Erina, @recoveringrevenant 's retired PC, lets us crash at her place most nights, and she was a founding member of the BFFs, so even though she's not adventuring with us anymore, she's still one of us.

M) Agamemnon, our ship's AI, he's an orb that likes to dress up as a wizard :>

N) Ajatus, a guy we threatened to get to help us, but somehow became fully one of the crew. also, we need him to drive the boat, so, a BFF it is.

O) Father Lagi, a priest whose church collapsed into a skink hole after we visited it. We offered him a job in recompense, though by some of the conversations we've had, he's pitty chill in general. Also he embezzled like all of the church's coffers, so that's funny

P) Dahlver-Nar, one of the many souls that take up residence inside of ale's body. Though he's a bit more permanent. He helps out and gives advice alongside some skick-ass powers.

Q) Naz, this is the character I forgot in the first render of this piece. she's functionally dead atm (permanently trapped inside an amber tree), but you know how it is. a character once played by @recoveringrevenant as well

R) Cousin Chet! the half-dragon half ???? freak. we love him though

S) Bailey Wick, a once stow-away, now rogue-for-hire she has the sticky fingers and high dex our party lacks. So whenever we need to infiltrate a place, we send her on those missions. Though we've recently found out she's like 19, which is horrifying lmao. She also is one of the most competent members of the BFFs only because she's the only character that consistently rolls above a 10 (like genuinely)

T) Tansu, Revazi's twin sister. Our most recent true member of the BFFs, she's.... gone through it

[squareallworthy]

Triangle Tuesday 4: The incenter, relationships, the excenters, and a surprise connection

The incenter of a triangle is another simple construction. The angle bisectors, as you might guess, are the lines that divide the angles in half. They meet at a point I, the incenter.

The proof that the angle bisectors all meet is very simple, following book 4, proposition 4 of Euclid's Elements.

Theorem: the angle bisectors of a triangle coincide.

Draw angle bisectors from A and B. Label their point of intersection as I. From I, draw perpendicular lines to the sides at D, E, and F.

The two blue triangles AFI and AEI have the same angles at A, same (right) angles at E and F, and a common side AI, so by angle-side-angle they are congruent. Therefore IE = IF.

By the same argument, the green triangles are congruent, and ID = IF, and all three perpendiculars from I are equal.

Draw line CI (dashed). The two white triangles CEI and CDI have equal (right) angles at E and D, equal sides DI and EI, and shared side CI. By side-side-angle they are congruent, so their angles at C are equal, and CI is the angle bisector from C.

Of course while this is essentially Euclid's argument, his goal was not to prove something about this point I, it was to draw a circle inscribed in an arbitrary triangle. Proving that the three perpendiculars are equal proves that they are radii of a common circle, which we call the incircle. And immediately after demonstrating this construction, his next proposition was construction of the circumcircle, which we looked at before. Is it weird that I'm more focused on the point at the center than the circle? Well, maybe. We'll get back to that later. For now, let's look at the two circles.

Here they are together. What's the relationship between them? The circumcircle is always bigger, and they don't in general have the same center.

Unless we want to start fiddling around with magnitudes of the sides or angles, we don't have a lot of variables here. Just the radii of the two circles and the distance between the centers. And here's a good reason to consider only those three numbers as important in the incircle-circumcircle relationship:

For any arrangement of incircle and circumcircle, there are infinitely many triangles that could be drawn to fit them, with varying side lengths and angles. So we should expect that those values don't matter, and the relationship between the circles should depend only on the circumcircle radius R, the incircle radius r, and the distance d between their centers.

To figure out how those values are related, we will first prove a handy little theorem about intersecting chords.

Theorem: the products of the two segments of intersecting chords are equal.

That is, we are saying AP * PB = CP * PD. Proof is by vertical angles, meaning that the red angles are equal, and the inscribed angle theorem, meaning the blue angles are equal and so are the greens. Therefore the two triangles APD and CPB are similar, so

AP / PD = CP / PB,

AP * PB = CP * PD.

Okay, let's use our new theorem.

Extend the angle bisector CI until it meets the circumcircle at K (red). Draw OI and extend it to meet the circumcircle at U and V (blue). Then by intersecting chords,

1) CI * IK = UI * IV = (R - d) (R + d) = R^2 - d^2

Next, a little angling. Draw segments KA and AI. Let α be the angle at vertex A and γ be the angle at vertex C. Segment CI is an angle bisector, so the red angles ACK and KCB are γ/2, and by inscribed angles, so is the red angle BAK. Segment AI is also an angle bisector, so the blue angles are α/2.

The green angle completes triangle AIC, so

∠AIC = 180° - (α + γ)/2

The purple angle is supplemental to it, so

∠AIK = 180° - (180° - (α + γ)/2) = (α + γ)/2

Therefore triangle AIK has two angles equal to (α + γ)/2, so it is isoceles, so

2) AK = IK

Finally, draw a perpendicular from I to side AB to intersect at Z. Draw KO and extend to the circumcircle at L. Now the two red triangles, CZI and LAK, have one angle equal to γ/2 (inscribe angle theorem again), and they are both right angles, so they are similar. So,

CI / IZ = LK / AK

3) CI * AK = LK * IZ = 2 R r

Putting 1), 2), and 3) together, we get this:

Theorem: given a triangle with circumradius R, inradius r, and distance between circumcenter and incenter d, 2 R r = R^2 - d^2.

This is known as Euler's theorem in geometry, first published by William Chapple in 1746 and then by Leonhard Euler nineteen years later. Chapple also first proved the existence of the orthocenter.

So does the converse hold? That is, if we have a pair of circles that fits that formula, can we always draw a triangle inside the larger one that is tangent to the smaller one?

Yes! In this image, the circles are drawn according to the formula and then the triangle drawn to fit them, and it works! (And although I am satisfied with this image because it turned out the way I wanted, somehow looking at it makes me anxious. This triangle looks like it's not having a good time. Don't stare at it too long if it bugs you.)

This is an example of Poncelet's porism, a theorem that says this works for polygons of any number of sides. If you have a pair of circles that will fit as incircle and circumcircle for some n-gon, then there are infinitely many n-gons that fit those circles. Chapple proved it for triangles and then Jean-Victor Poncelet proved the general case in 1822.

What else can we say about the incenter? Last week, we saw that the altitudes of a triangle are also the angle bisectors of the orthic triangle, which means that the orthocenter of the reference triangle is the incenter of the orthic triangle. Triangle geometry is full of cases like this, where the X-center of the Y-triangle is also the Z-center of the W-triangle, or whatever.

The incenter always lies in the interior of the circle with the line segment form the orthocenter to the centroid as a diameter. And last week, we learned that the centroid, circumcenter, and orthocenter all lie on one line, the Euler line. The incenter does not, unless the triangle is isosceles, in which case all triangle centers lie on the Euler line.

I suppose it's about time I explained what makes these points special and why we're looking at them. The four points I've been talking about belong to a class points called triangle centers. Though these four constructions were known to the ancient Greeks, they weren't identified as belonging to a special class until the 19th century, by which time many other triangle centers had been identified.

So what are they, exactly? Many of them are in fact the centers of notable circles, such as the circumcircle and incircle, or the centers of perspectivity of some pairs of triangles (I will have to explain perspectivity another day), and I suppose that's where the name comes from, but that's not what defines them.

Introducing a formal definition would be premature at the moment, but for now, we can observe one of the properties that applies to the four centers we've looked at so far. They are all constructed symmetrically with regard to sides and vertices. That is, if we use the midpoint of a side, we use the midpiont of all three sides. If we use the angle bisector of one angle, we use the bisectors of the other two as well. For a given triangle center, the roles of vertices A, B, and C are interchangeable.

Let's look at how things can work out if we don't construct things symmetrically. We constructed the incenter by bisecting the triangle's angles. But if we extend the sides into lines, we see that there are actually two bisectors at each intersection of the side lines, an interior bisector and an exterior bisector.

Here we have the exterior bisectors of vertices B and C (green) meeting the interior bisector of vertex A (blue) at a point Ja. This is called an excentral point, and it's the center of an exscribed circle for the triangle ABC.

But it's not a triangle center, because it wasn't constructed symmetrically. If we switched the roles of A and B in this construction, we'd get a different point. If we switch A and C, we get a third point.

Here are the three excircles and the incircle together. And just as with the incircle, there is a formula describing the relationship between the radius of the circumcircle, the radius of an excircle, and the distance between their centers. It's almost the same as the formula for the incircle:

2 R r_a = d_a^2 - R^2

where R is again the radius of the circumcircle, r_a is the radius of excircle A, and d_a is the distance from its center to the circumcenter. The equations for the other excircles are formed analogously.

And what about their positions? We can't just plonk them down anywhere and say those are the excircles of some triangle. Let's look at the angle bisectors again. The exterior bisectors, in green, form the excentral triangle. The interior bisectors, in blue, meet them perpendicularly at the vertices. That means that internal bisectors form altitudes of the excentral triangle, which demonstrates today's final result.

Theorem: The incenter of a triangle is the orthocenter of its excentral triangle, and the incenter and excenters form an orthocentric system.

It's all connected!

If you found this interesting, please try drawing some of this stuff for yourself! You can use a compass and straightedge, or software such as Geogebra, which I used to make all my drawings. You can try it on the web here or download apps to run on your own computer here.

An index of all posts in this series is available here.