#worked trigonometry examples

[er-cryptid]

Find Ratios [Ex. 3]

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[nanzyn]

underrated writing emotion: when your math actually (accidentally) works out and your characters are walking long distances at the correct pace

[ultimateswag]

𝚂𝚝𝚎𝚟𝚎𝚗 𝙼𝚎𝚎𝚔𝚜- Study Sesh

Paring : Steven Meeks x fem reader

TW : (brief) mentions of biblical studies and Pythagorean Identities.

[this is my first imagines by the way, so please excuse any mistake or poor writing (I tried to not mention any racial aspects, but lmk what I can improve)]

Latin was always a subject you mastered. It got much easier once you began to assimilate Latin with French, which, by the way, you were also pretty good at. One was a dead language, not spoken nowadays, but really useful when doing biblical studies, and then the other was the language of romance, the one people thought of when asked to say the most romantic and sexy language there is.

Though, besides languages and the occasional English, you weren’t really exceptional in any other subject, especially Trigonometry. It's not like you were failing, not at all actually, but you simply couldn't excel it like, by example, literature. That's why you’re pushing yourself to the edge, so you can get better at the calculus assimilated subjects, and that's why you asked Steven Meeks for help.

The two of you have always been friends, talking to each other in the corridors, of course being together in study groups, and also being a part of the same secret society. But apart from those friendly interactions, you didn't stand out as actually being friends, so much so, that few people actually believed that you even knew who Steven was. Being the only girl at Welton preparatory school due to your high intellectual level ( and family history) made you quite popular, so why would you, willingly, hang out with Steven Meeks? That's what they all thought, though, no one dared to say it out loud.

"I still don't understand this." You said, a loud sigh leaving your mouth quickly after as you stared at the problem filled paper in front of you.

Steven let out a small low chuckle, though it was clear he didn't mean it in an offensive way. "This is actually simpler than it looks" he begins, moving the paper a bit closer to him, and scooting lightly closer to you. "Once you understand the concept, it'll all make sense." And to that, you nods, gaze switching from the paper to his face, admiring his soft freckles, beautiful eyes and- and how he begins to explain Pythagorean Identities.

"Alright. So. Pythagorean identities. The most important one is kind of like the golden rule of trig: sin?0 + cos 0 = 1. That's the foundation, everything else branches from this." He explains.

You leaned in, the scent of your sweet raspberry perfume just barely brushing the air between them. "But why does that even work?"

Steven looked at you not just any glance, but the kind of look that says I see you struggling, and I want to help you out of it. "Because it comes from the Pythagorean Theorem." He says, but swing the confusion linger on your face, he grabs a piece of blank paper and a pencil and begins to draw." Picture this: a right triangle inside the unit circle. The hypotenuse is 1. The x-value is cose, the y-value is sine. So when you square both and add them up... it just always equals 1."

You blinked, eyes narrowing slightly in concentration as they switch from the homework, to Steven's drawing. "So it's not just a random formula-they actually mean something."

He nodded, a little too pleased you were catching on. "Exactly. And the other two identities are built off this one. Like, if you divide everything by cos?0, you get: 1 + tan?0 = sec?0. And if you divide by sin'® instead, it becomes: cot?0 + 1 = cscª0. It's like a family of truths that are all connected."

You bit your lip, scribbling it down, then looked sideways at him. "Do you always talk about math like it's poetry?" You ask with a small smile. Steven, just like you, has always taken a special liking to poetry, and just like everyone else, after just a few classes with Mr. Keating, it became a bigger, more important part of his life, so of course it was no surprise to see him romanticizing trigonometry.

Steven smiled, a faint flush rising in his cheeks. "It makes it easier to understand, does it not?" he tilts his head lightly at you, seeing as you wrote the problem's answer down on the paper, with your perfect calligraphy, while your beautiful, hair fell next to you. Your eyes seemed to shine as you understood each problem, they looked beautiful, you looked so beautiful. At least that's what he thought.

"I suppose it does" A soft laughter is heard leaving your mouth. There was a beat of silence-just the hush of pages turning in the distance and the soft tapping of your pen again. "You know," you said, not looking at him this time, "I usually hate asking for help."

"I know," he replied, glancing at her-noticing the tension in your jaw softening a little. "But I kind of like that you asked me.

Their eyes met. Just for a second. A heartbeat.

“I do too.” She said softly, turning to look at her notes once again. Her cheeks were feeling hotter, she didn’t want to look up.

“Do you need help with anything els-“ Before he could finish his frase, Aurora began speaking once again, mustering up enough courage to glance at him.

“Would you like to hang out? Outside of school?” She asks, cheeks getting hotter and hotter .

“That’d be pretty nice, actually.” Steven’s now held held a crimson tint, although he tried to act like he wasn’t about to jump out of happiness.

“Cool” she says, attempting to act nonchalant, but giving him a shy smile.

“Cool.” He answers back, returning her smile.

[study-diaries]

Math Tips

(Pictures are not mine)

Well, let me tell you, we all have this love-hate relationship with this subject, right? The worst part is that when you don't know what the heck is going on, so, as a girl who studied maths (2 Volumes/textbooks) on her own during the year she was homeschooled, here are some tips and tricks that I did to get an A+ in my math finals!

Get your syllabus together

In the beginning I had no damn idea what was going on and it was just confusing. I had to do the first thing I did was taken my index/table of contents and mark the chapters which i knew very well and the ones I had no clue about. And then i arranged them with the marking scheme, like which one carries the most marks etc etc and study accordingly.

Complete lessons/chapters that you already know

When you finish off the things you already know then that's gonna give you the confidence you need even if you know only 1-2 chapters, learn it throughout and make sure that you'll get the answer no matter how twisted the sum is. If you're doubtful about the whole textbook like any normal person.... Start with the easy ones. (I know there are literally really no "easy" chapters, spare me)

Harder chapters need hard work

Most chapters like Trigonometry proofs, Geometry proofs, Algebra, Graphs, Mensuration and Calculus etc need more than minimum effort but here's a trick, what is the common thing in this? Yes, they're all formulae and theorem based which goes to my next point. These chapters are completely based on how much you've understood your basics.

Formulae and theorem cheatsheets

Make a list of all formulae and the theorem used in the book, write them chapter wise and no printouts or digital notes. Take a paper and write it down, no excuses. It helps you while you're practicing, revising and in the last minute review, it helped me damn much. Remember, maths is a sport. The basic formulae must come to you like reflexes.

YouTube is your best friend.

For every single chapter, go and watch the basics and how a sum is done step by step. A recommendation for this is Organic Chemistry Tutor who literally is one of the reasons i passed. He has videos from basic geometry, trigonometry, statistics to calculus. Search for your own YouTubers and be clear with concepts.

Math is fully memorization

Memorize formulae and theorems with the back of your hand, you should be able to recall them within seconds. Be thorough.

Memorize basic math values (if calculator isn't allowed)

Do this if you have a majority of chapters like Statistics, Mensuration, Profit/loss calculation etc, where large numbers are concerned. Memorize the first 10 square, cube, decimal and multiplication values. It may be dry but there are literally songs available for these things, I'm serious, i learnt the first 10 cube roots by listening to Senorita xD Search for rhymes and they'll definitely be many!!

Work it out!!!!!!

Can't stress this enough, atleast 30-40 mins is the minimum for maths. I'm serious, work out each sum, don't ever think it's a waste, you'll see the results. Practice makes perfect. Work out every single sum, from examples to exercise ones cause let's be honest, our examiners love to take problems from every nook and cranny of the book.

Whiteboard method

So, I made this up and it actually works, if you have a whiteboard or anything else, once you completed a chapter, take a random page and whatever sums you have on those two pages, you need to complete within a given time limit. It helps you to identify your weak points and where the hell you're losing both time and effort and not to mention that it gives you confidence boost up.

Hope this helps :))

[timesacircle]

Rhind Mathematical Papyrus - the oldest (1650 BC) manuscript written in Algebra and Irigonometry.

"Rhind Mathematical Papyrus": It is named after Alexander Henry Rhind, a Scottish antiquarian. He bought the papyrus in 1858 in Luxor, Egypt. It was found during illegal excavations in or near the Ramesseum. The Rhind papyrus dates to the Second Intermediate Period of Egypt. It was copied by the scribe Ahmose from a now-lost text from the reign of Amenemhat III (12th dynasty).

The Papyrus is probably a mathematics textbook, used by scribes to learn to solve particular mathematical problems by writing down appropriate examples. The papyrus has work and writing on arithmetic, algebra, geometry, trigonometry, and fractions. Eighty-four problems are included in text covering tables of divisions, multiplication and handling of fractions; and geometry, including volumes and areas.

The scribe dated papyrus in year 33 of Apophis, the penultimate king of the Hyksos 15th Dynasty. The other side of the papyrus mentions 'year 11' without a king's name, but with a reference to the capture of the city of Heliopolis. In the opening paragraphs of the papyrus, Ahmose presents the papyrus as giving "Accurate reckoning for inquiring into things, and the knowledge of all things, mysteries... all secrets". He continues with: This book was copied in regnal year 33, month 4 of Akhet, under the majesty of the King of Upper and Lower Egypt, Awserre, given life, from an ancient copy made in the time of the King of Upper and Lower Egypt Nimaatre (?). The scribe Ahmose writes this copy.

[yuri-is-online]

How do you think Yuu’s otherworldly education compares in common subjects between Twisted Wonderland and Yuu’s world? Would a Yuu being 16 influence if the prefect is ahead in any classes? I’m sure this would be dependent on the standard age for levels in a school system and what kind of school system we are looking at.

I’m going to use math as an example for my rambling. Math isn’t a skill that requires any magical knowledge as a background, so Yuu could theoretically be ahead in that subject. (I have no clue what math skills are required by grade in a Japanese school which NRC is partially based on.)

Using my high school as an example. Our math courses followed the track: Algebra 1, Trigonometry, Algebra 2, Pre Calculus, and then AP Calculus or AP Statistics depending on the year. A freshman could easily make it into a higher math like Calculus before graduating if that person started farther along in the track.

So a Yuu (from the 4 year system of schools) could have been approaching a higher level of a subject at 16. And if Yuu’s math skills were better than the level of a first year, I’m not sure a placement test would have been offered to Yuu since that would require effort from Crowley Grim’s level would have to be accommodated on top of fitting Yuu’s schedule with normal first year classes. Which would be such a disservice to Yuu, even if the class being easy gives more time for the subjects that need to be learned from the ground up.

I have thought way too hard about this. I am sorry for the rabbit hole and the asks being so close together.

- 🦐

No need to apologize for sending asks shrimpy friend, you always have the nicest theories. You can spam me if you please.

We know from a few tidbits here and there that grade skipping is allowed, but it depends on where you are in Twisted Wonderland. Given that the original intent for Idia was to have him be a child prodigy who had speed ran his way into NRC, I would assume grade skipping is allowed by the school board, but well. You have already hit on the tiiiiny wittle issue with Yuu.

Grim and Yuu's grades are averaged, if I understand what Crowely says at the start of the game and Crewel's vignette correctly. The idea was that since Yuu would automatically fail any magic based classes, Grim would pick up the slack there and Yuu would be able to help him learn practical life skills. Yuu being smart probably would help them, but their other half would still need to be brought up to speed about things like basic math before Crowley would consent to let them jump ahead a year.

You are correct that this would be a disservice to Yuu. Deuce's dorm uniform vignette has him struggling to solve simultaneous equations. Ace and Cater both list this as a basic math skill they learned in middle school, meaning they are excepted to know this, so a Yuu who was in something like Calc or AP Stats would be in a very advantageous position... but they still would need to teach basic math to Grim and keep on him so he did his homework for his other classes.

So the TL;DR:

No Yuu being more advanced than the other freshmen probably wouldn't help them graduate faster. It might help them educate Grim faster, but this assumes he wants to work which he does not.

Yes this is almost entirely down to Crowley not wanting to put in effort and his decision to count Yuu and Grim as one student.

If we are being honest it probably is more convenient for Crowley to have Yuu be a first year given the work he wants them to do for him. He gets to keep them around longer that way lol.

[the-sonic-crew]

Tails, do you know how the quadratic formula works? I have a math exam tomorrow and my parents said they’ll get me a parrot if I get a 90% and above. This and how the cosine law works (trigonometry) I’m struggling… PLEASE HELP 😭🙏

Of course! It's all under the undercut! ;D

Quadratic Formula:

The quadratic formula is a way to solve equations that look like this: ax2+bx+c=0ax^2 + bx + c = 0

Where a is the number in front of x2x^2, b is the number in front of xx, and c is the number by itself.

The formula is:

Here's an example!

x2+3x−4=0x^2 + 3x - 4 = 0.

a = 1, b = 3, c = -4

Simplify it step by step:

Do the two versions:

Final Answer:

x = 1 or x = −4

That’s it! The quadratic formula always works if there's a solution! :D

The Cosine Law

The cosine law is a formula used to find the missing side or angle in a triangle that is not a right triangle!

Formula:

Where a and b are the lengths of two sides, c is the length of the side opposite the angle C, and C is the angle you're working with.

When do you use it?

When you know two sides and the included angle and need to find the third side.

When you know all three sides and need to find an angle.

Another example!!:

A triangle has sides of 7 cm and 10 cm, and the angle between them is 60°. Find the third side.

And another!:

If the sides of a triangle are 5 cm, 6 cm, and 7 cm, find the angle opposite the 7 cm side.

That's it! The Cosine Law works when the triangle isn't a right triangle, making it super helpful when the Pythagorean theorem can't be used!

I hope you get your parrot! <333

[narcoticwriter]

Can These Guys Do Basic Math?

I blame Sin for this.

Brief and buckshot (let me emphasize this again, brief and buckshot) explanations under the cut, I did not THINK and I'm doing this for the funny, watch for some spoilers to the story and characters here or there though:

Dr. Faust: At this point in what I know about the canon, I do not believe he genuinely cares any more.

I-No: As a manifestation of humanity's hatred for the Gears turned into a literal god, I think that she is beyond math.

Happy Chaos: The kind of fucker who'd instigate something about the numerical value of three actually being fifty-five.

Ramlethal Valentine: "I was made with the capability to compute and solve a multitude of problems concerning algebra, trigonometry, statistics-"

Testament: They would scoff at whoever asked, then make an offhanded comment about how stupid that question was or an insult at the one who asked.

Bedman(?): Both Bedman and Delilah would openly call them twenty words that mean some variation of 'absolute imbecile'.

Asuka R♯: Math is a hobby to this guy, he would be more confused than insulted if you knew him even casually.

Slayer: The man has not been alive for this long and amassed this much power by being a chump. Please.

Sol Badguy: If the man of science didn't know how to do basic math, I'd wonder how he did it all in the first place.

May: Well now, someone has to keep track of how much money Johnny blows at the casino.

Millia Rage: A job requirement, if I'm being completely honest.

Zato-1: Debated putting him in the 'math is fake' tier, but decided that he has to use too much of it to be there.

Anji Mito: A man like that has to keep his ducks in a row and his math is an example of this because he's taken how many risks now?

Jack-O Valentine: I believe that she has to know some math and fairly well at that given her situation and by exposure.

Ky Kiske: I choose to divorce his knowledge from his application of it. This man is doing just fine on the fundamentals. So sue me.

Potemkin: With all due respect, I think the fact that he's here is monumental of the work Gabriel put in. The man is quite competent.

Leo Whitefang: How else would he be able to keep count of the dead and his sins accordingly?

Nagoriyuki: I think he gets by, but I don't see him in many situations where he would have to go beyond some basic algebra.

Elphelt Valentine: Can keep count of potential suitors, the tickets sold, and other things of that priority. Also a Valentine.

Queen Dizzy: Testament saw what Sol did to Sin and gave themselves a pat on the back.

Axl Low: Clearing up the streets and making them safe was a bit higher on the list of things to do while he was growing up, you know.

Giovanna: Would rather not, to be honest, but she can.

Goldlewis Dickinson: I DON'T HAVE TO THINK ABOUT IT-

Bridget: Off of sheer vibes alone, I don't think she thinks all that much outside of bounty hunting.

Chipp Zanuff: His intuition has done him many favors, but doing the mental math isn't one of them. I also blame the drugs. He can try.

Baiken: Controversial in the sense that at a certain point, I think she just stopped learning normal things for her age and hit the road. Could pick it up, but mostly for like, money and managing her stuff.

Johnny: Extremely selective, will ensure that his girls are taught right, but what there's no way I gambled away that much!

A.B.A.: If she's calm, sure, but God forbid someone looks at Paracelsus for a bit too long.

Sin Kiske: Sol may have kept him alive, but he failed him in every other way that matters. What do you mean he's still learning his time tables?!?

[tthatsonme]

Intellect, by molly.

— People often underestimate the seriousness of your sudden shift of motivation, in this day and age; it’s uncommon to see anyone (especially younger people) read a book or have any interest in having goals whatsoever, but you’re different, you’ve set the curve, you’re the centre of attention and everyone should be like you especially when it comes to academics, parents are constantly asking you to teach their kids your way because of how effortless your work ethic and dedication to school seems.

— Whenever the teacher needs an example on how to do a math equation or what a well written and worded essay SHOULD look like they always hold up your assignments as an example, you are 100% the best example of what a student should be like an any generation but especially this one, all of the parents and guardians with the “brain rotted iPad babies” or “wasting their lives away because of technology addiction teenagers” beg you to tell them what your “secret is” but maybe you’re not even fully aware of your greatness or level of discipline and success.

— You have a very distinct and important morning routine that you do every day, whether your routine has 4-steps or 40-steps it’s almost like it’s been burned into your DNA to follow it daily, your routine is not optional, you have the most perfect sleep schedule it’s almost as perfect as you, but in case you need a late study night you wake up everyday well rested regardless of whether you slept a full 8-hours or not, your memory to do things is amazing, you have a better memory than most people in your classes, you remember everything that you hear, read, and write in terms of school, you remember how to spell everything, your handwriting is always neat and legible, you could basically rewrite the dictionary at this point, fun fact: most people in this generation aren’t fluent in English because of the lack of spelling and vocabulary (my teacher said this so it’s probably true), while the other people in your class are crying over the phone ban if you have you you’re perfectly fine without your phone for 6-8 hours a day, you’ve never had any issues writing stories or having original thoughts, you have an extremely expanded vocabulary and are an amazing writer, “You don’t use brain rot?? Nerd alert!” It’s surprising to hear someone only use quote “brain rot terms” ironically, whilst the rest of the world is having unintelligent conversations about skibidi toilet and whatnot you’re the complete opposite.

— You have no issues in and are the best at all forms of mathematics, geometry, algebra, calculus, arithmetic, trigonometry, number theory, statistics, set theory, topology, discrete mathematics, probability, combinatorics, numbers, mathematics analysis, analytical geometry, differential equations, applied mathematics, game theory, pure mathematics, linear algebra, numerical analysis, and matrix algebra, natural sciences, engineering, medicine, finance, computer science and social sciences, biology, chemistry, physics, astronomy, earth sciences, zoology, ecology, microbiology, astrophysics, neuroscience, logic, ethics, psychology, philosophy, mechanics, and social sciences, morphology, sociolinguistics, pragmatics, psycholinguistic, linguistics, phonetics, historical linguistics, stylistics, and computational linguistics plus whatever other courses and classes that you have. [If this last part seems random it’s because it is, it’s copy and pasted from a personal sub I made a year ago for 11th grade :p]

_Things to remember

You can and will only ever manifest what you desire from this subliminal

Make sure not to obsess over your results because they can lead to limiting beliefs

You don’t have to listen daily or 1-7 times or anything like that, one is always enough with any subliminal :)

[szonikuscsavarhuzo]

Doom QR code-ban

From Reddit post:

Hi! I'm Kuber! I go by kuberwastaken on most platforms and I'm a dual degree undergrad student currently in New Delhi studying AI-Data Science and CS.

Posting this on reddit way later than I should've because I never really cared to make an account but hey, better late than never.

Well it’s still kind of clickbait because I made what I call The BackDooms, inspired by both DOOM and the Backrooms (they’re so damn similar) but it’s still really fun and the entire process of making it was just as cool! It also went extremely viral on Hacker News and LinkedIn and is one of those projects that are closest to my heart.

If you just want to play the game and not want to see me yapping, please skip to the bottom or just scan the QR code (using something that supports bigger QR codes like scanqr) and just paste it in your browser. But if you’re at all into microcode or gamedev, this would be a fun read :)

The Beginning

It all started when I was just bored a while back and had a "mostly" free week so I decided to pick up games in QR codes for a fun project or atleast a rabbit hole. I remember watching this video by matttkc maybe around covid of making a snake game fit in a QR code and he went the route of making it in a native executable, I just thought what I could do if I went down the JavaScript route.

Now let me guide you through the premise we're dealing with here:

QR codes can store up to 3KB of text and binary data.

For context, this post, until now in plaintext is over 0.6KB

My goal: Create a playable DOOM-inspired game smaller than a couple paragraphs of plain text.💀

Now to make a functional game to make under these constraints, we’re stuck using:

• No Game Engine – HTML/JavaScript with Canvas

• No Assets – All graphics generated through code

• No Libraries – Because Every byte counts!

To make any of this possible, we had to use Minified Code.

But what the heck is Minified Code?

To get games to fit in these absurdly small file sizes, you need to use what is called minification

or in this case - EXTREMELY aggressive minification.

I'll give you a simple example:

function drawWall(distance) {

const height = 240 / distance;

context.fillRect(x, 120 - height/2, 1, height);

}

post minification:

h.fillRect(i,120-240/d/2,1,240/d)

Variables become single letters. Comments evaporate and our new code now resembles a ransom note lol

The Map Generation

In earlier versions of development, I kept the map very small (16x16) and (8x8) while this could be acceptable for such a small game, I wanted to stretch limits and double down on the backrooms concept so I managed to figure out infinite generation of maps with seed generation too

if you've played Minecraft before, you know what seeds are - extremely random values made up of character(s) that are used as the basis for generating game worlds.

Making a Fake 3D Using Original DOOM's Techniques

So theoretically speaking, if you really liked one generation and figure out the seed for it, you can hardcode it to the code to get the same one each time

My version of a simulated 3D effect uses raycasting – a 1992 rendering trick. and here's My simplified version:

For each vertical screen column (all 320 of them):

Cast a ray at a slightly different angle

Measure distance to nearest wall

Draw a taller rectangle if the wall is closer

Even though this is basic trigonometry, This calls for a significant chunk of the entire game and honestly, if it weren't for infinite map generation, I would've just BASE64 coded the URL and it would have been small enough to run directly haha - but honestly so worth it

Enemy Mechanics

This was another huge concern, in earlier versions of the game there were just some enemies in the start and then absolutely none when you started to travel, this might have worked in the small map but not at all in infinite generation

The enemies were hard to make because firstly, it's very hard to make any realistic effects when shooting or even realistic enemies when you're so limited by file size

secondly, I'm not experienced, I’m just messing around and learning stuff

I initially made it so the enemies stood still and did nothing, later versions I added movement so they actually followed you

much later did I finally get a right way to spawn enemies nearby while you are walking (check out the blog for the code snippets, reddit doesn't have code blocks in 2025)

Making the game was only half the challenge, because the real challenge was putting it in a QR code

How The Heck do I Put This in a QR code

The largest standard QR code (Version 40) holds 2,953 bytes (~2.9 KB).

This is very small—e.g:

a Windows sound file of 1/15th of a second is 11 KB.

A floppy disk (1.44 MB) can store nearly 500 QR Codes worth of data.

My game's initial size came out to 3.4KB

AH SHI-

After an exhaustive four-day optimization process, I successfully reduced the file size to 2.4 KB, albeit with a few carefully considered compromises.

Remember how I said QR codes can store text and binary data

Well... executable HTML isn't binary OR plaintext, so a direct approach of inserting HTML into a QR code generator proved futile

Most people usually advice to use Base64 conversion here, but this approach has a MASSIVE 33% overhead!

leaving less than 1.9kb for the game

YIKES

I guess it made sense why matttkc chose to make Snake now

I must admit, I considered giving up at this point. I talked to 3 different AI chatbots for two days, whenever I could - ChatGPT, DeepSeek and Claude, a 100 different prompts to each one to try to do something about this situation (and being told every single time hosting it on a website is easier!?)

Then, ChatGPT casually threw in DecompressionStream

What the Heck is DecompressionStream

DecompressionStream, a little-known WebAPI component, it's basically built into every single modern web browser.

Think of it like WinRAR for your browsers, but it takes streams of data instead of Zip files.

That was the one moment I felt like Sheldon cooper.

the only (and I genuinely believe it because I practically have a PhD of micro games from these searches) way to achieve this was compressing the game through zlib then using the QR code library on python to barely fit it inside a size 40 code...?

Well, I lied

Because It really wasn’t the only way - if you make your own compression algorithm in two days that later gets cited by a NASA Scientist and cites you

You see, fundamentally, Zlib and GZip use very similar techniques but Zlib is more supported with a lot of features like our hero decompressionstream

Unless… you compress with GZip, modify it to look like a Zlib base64 conversion and then use it and no, this wasn’t well documented anywhere I looked

I absolutely hate that reddit doesn’t have mermaid graph support but I’ll try my best to outline the steps anyways haha

Read Input HTML -> Compress with Zlib -> Base64 Encode -> Embed in HTML Wrapper

-> DecompressionStream 'gzip' -> Format Mismatch

-> Convert to Data URI -> Fits QR Code?

-> Yes -> Generate QR

-> No -> Reduce HTML Size -> Read Input HTML

Make that a python file to execute all of this-

IT WORKS

It was a significant milestone, and I couldn't help but feel a sense of humor about this entire journey. Perfecting a script for this took over 42 iterations, blood, sweat, tears and processing power.

This also did well on LinkedIn and got me some attention there but I wanted the real techy folks on Reddit to know about it too :P

HERE ARE SOME LINKS RELATED TO THE PROJECT

GitHub Repo: https://github.com/Kuberwastaken/backdooms

Hosted Version (with significant improvements) : https://kuber.studio/backdooms/ (conveniently, my portfolio comes up if you remove the /backdooms which is pretty cool too :P)

Itch.io Version: https://kuberwastaken.itch.io/the-backdooms

Hacker News Post

Game Trailer: https://www.youtube.com/shorts/QWPr10cAuGc

Said Research Paper Citation by Dr. David Noever (ex NASA) https://www.researchgate.net/publication/392716839_Encoding_Software_For_Perpetuity_A_Compact_Representation_Of_Apollo_11_Guidance_Code

DevBlogs: https://kuber.studio/blog/Projects/How-I-Managed-To-Get-Doom-In-A-QR-Code

Said LinkedIn post: https://www.linkedin.com/feed/update/urn:li:activity:7295667546089799681/

Original source:

[sihedwu]

How Timepulse Works

Hey everyone, so… this was supposed to be a reply to a question from the esteemed @wary-taru, but the topic turned out to be pretty broad, and in my humble opinion, it doesn’t really fit the “question-answer” format, so I decided to make a separate post. ¯\_(ツ)_/¯

In case anyone forgot, let me remind you: Timepulse on Atmos works as a local navigation system, kinda like Atmos’s version of Earth’s GPS, and, jumping ahead, I’ll say right away that it seems to work on a similar principle, but, as often happens, a little differently. How exactly? Let’s find out.

How GPS Determines Location

So, before talking about Timepulse, I need to briefly explain GPS, since they should work the same in their most basic principle. As we all know from school, distance = speed * time. For us, this means that if we have a radio signal source whose location is precisely known, then, knowing the speed of light (299,792 km/s - veeery fast! >:D) at which radio waves travel, and the send and receive times of the signal, we can determine the distance to the transmitter. Therefore, if we know the distances to just 3 GPS satellites, then through something called the scary word “trilateration,” we can accurately determine our location on Earth. Okay, we’ve covered GPS, now let’s move on to Timepulse.

How Timepulse Determines Location

So, as we learned, the basic principle of GPS is calculating the distance to a transmitter based on the send and receive times of the signal. And the tower on Terra Glockenchime should perform the exact same function - sending a signal with the send time throughout Atmos so that everyone else can receive it. Now it’s clear why all that clock equipment is on Glockenchime. :D

But, I believe the most attentive of you should have already noticed that GPS needs 3 satellites to determine location, but there’s only 1 tower on Atmos. And, as you’ve probably already guessed, that’s where the difference lies. Now let’s see how this system works.

As with GPS, we need to calculate the distance, only not to a satellite, but to Glockenchime. However, one landmark isn’t enough; we need at least one more. As one, we can use, for example, the direction to the North Pole. So, now that we have the distance to Glockenchime, we can measure the angle between the direction to it and the direction to the North Pole. That will be the second landmark. Thus, through some not-so-complex trigonometry, Atmosian ships can calculate their location. But, as you might have already guessed, there’s one thing in all of this that we just can’t fail to mention. Namely - the accuracy of the measurements.

Atomic Clocks

So, if we measure the distance from the transmitter to the receiver through the travel time of the signal, we need to measure time very accurately, because with such a huge speed as the speed of light, even the slightest inaccuracy will be critical. To accurately measure such quantities, atomic clocks with accuracy down to attoseconds (one billionth of a billionth(!) of a second) are used on Earth. And… I wouldn’t say that the gear-driven equipment on Terra Glockenchime has the same accuracy as atomic clocks, so that gives us the right to assume that the signal sent by Timepulse travels much slower than the speed of light, otherwise the measurement errors would be just huge. And also, it’s worth noting that because not everyone can afford an atomic clock, all civilian GPS receivers, like in phones, are forced to use 4 or more satellites to achieve sufficient accuracy - and, as you’ve probably already guessed, even then it remains not very high. ¯\_(ツ)_/¯

Limits of Operation

So, since the canon doesn’t talk about the limits of Timepulse’s operation, we can’t say for sure whether it would work or not work at some distance/in some area (except, of course, the Great Expanse). However, judging by the fact that it radiates in all directions, its signal should weaken according to the inverse-square law. That is, if you move 2 times further from the source, the signal will weaken 4 times. Timepulse’s power isn’t reported in the show, but I would say that it can hardly operate beyond a few thousand kilometers. In any case, the canon data allows us to talk about such distances, but this is all, of course, inaccurate. ¯\_(ツ)_/¯

So… I think I haven’t forgotten anything. Then that’s all for today. Thanks for your attention, bye!

[er-cryptid]

Vectors with i and j [Ex. 3]

Patreon

[scotianostra]

On April 4th 1617 John Napier, the mathematician, died.

It’s said that Napier is the nearest Scotland has produced to a 'Renaissance Man', at least as far as mathematics and the sciences are concerned. To the philosopher David Hume he was "the person to whom the title of a great man is more justly due than any other whom his country ever produced". The historian Christopher Smout has listed his achievements as including "a new type of screw-drainage for coal mines", "the use of salt as an agricultural fertiliser", "military burning glasses" and "self-propelled armoured chariots like tanks".

His enduring fame rests on his 'discovery' of logarithms in 1614 which propelled him into the front rank of European scientists alongside his contemporaries Kepler and Tycho Brahe.

Not much is known about his early life except for the fact that he was the son of a Scottish landowner and official and received a privileged upbringing. As a member of the nobility, he was tutored privately at home for a few years before being sent to St Salvator’s College, St Andrews. It was here that he first became deeply interested in theology though he did not acquire in-depth knowledge in mathematics until later.

For reasons unknown, he left the college before earning his degree and it is believed that he moved to some other educational institute for his higher studies. Eventually he began managing his estates and pursued mathematics as a hobby. Among his several contributions to the field, his invention of logarithms is regarded as his greatest.

In 1614 he wrote Mirifici Logarithmorum Canonis Descriptio which contained 90 pages of tables of natural logarithms and also contained theorems in spherical trigonometry known as Napier’s Rules of Circular Parts.

Now I can appreciate why these things are necessary in science etc I have to say, I hate maths, don’t mistake that with arithmetic, as I am quite adept at counting, the times table and division etc, trigonometry, algebra, logarithms can quite simple GTF.

Our archives at The National Library of Scotland has the original copies of Napiers memoirs, I will give you an example of his work;

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I mean come on, what kind of sorcery is this?

Which leads me to the final party of this post, John Napier was seen as a devoted and deeply religious family man, but in fact several members of John Napier’s family – respected and wealthy participants of Edinburgh society - were commonly known to be wizards or sorcerers. Their necromantic power was feared by nobles as well as peasants from far and wide.

This was at a time when James VI was actively attending and persecuting many poor people, mainly women, putting them to death after days and weeks of torture, had Napiers family not been landed gentry, they would have been the ideal candidates for these actions, money eh, changes everything.

Was John Napier involved in this? Well there is no proof of it, he was however a free thinker and thought outside the box, a very clever man, two examples of this here, initially caused the witchcraft tag to be be placed on him……

Rumours spread that he was a warlock after he enlisted the help of the cockeral to discover which if his servants had been stealing from him. Each servant was ordered to go into a darkened room and stroke the cockeral - the bird would crow, said Napier, when the guilty servant touched it.

The bird remained silent but Napier stunned the household by immediately identifying the culprit. Surely this was sorcery. But all he had done was put soot on the cockerel’s feathers - the innocent servants all had black on their hands, while the guilty one’s were clean because he was afraid to touch the bird.

At Merchiston, when pigeons belonging to a neighbouring landowner had been eating Napier’s grain, he threatened to restrain them. 'Do so, if you can catch them,’ scoffed his neighbour. Next morning, Napier’s servants could be seen stuffing hundreds of semi-conscious pigeons into sacks. Onlookers were convinced Napier had bewitched them - in fact he had simply scattered succulent peas soaked in wine to get the birds drunk and incapable.

But before his death Napier had left full details of how his logarithms had been calculated, and had left one final invention as a boon to the merchant classes. Napier’s Rods, or Napier’s Bones as they were called from the material they were made of, were in effect a powerful "pocket calculator”, as seen in the second pic.

Napier was twice married; first, in 1571, to Elizabeth, daughter of Sir James Stirling of Keir, by whom he had a son and a daughter; secondly, to Agnes, daughter of James Chisholm of Cromlix, by whom he had ten children. His eldest son, Archibald, who succeeded him, was raised to the rank of a baron by Charles I., in 1627, under the title of lord Napier, which is still borne by his descendants. A very elaborate life of him was published in 1835.

[haganezukawaifu]

Rosa Dolce Chapter 2

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Bella. The same Bella since I was six. The same Bella I use to play with in the park and sleepover. I haven't seen her since she moved to Arizona. I always wonder how she was doing. She looks just like Renee except without short brown hair.

"Now today's topic is themes," Mr. Mason said. 

Everyone in the class groaned, maybe the class anticipated watching a movie based on a book we read. "Now class, themes are significant in English and  literature." I sat up intrigued. "Theme is the idea, concept, or lesson that repeats throughout a story. It relates to the protagonist's journey. It lies deep in their concerns, passions-their soul. Take "The Alchemist" for example, Santiago's desire to seek buried treasure, or in "Lord of the Rings", Frodo's only motivation was to destroy the one ring," Mr. Mason explained. 

"But that's not all, poems also have themes. Give Mr. Poe for example. His work "The Raven." I'm sure someone in the class can quote a line from The Raven," Mr. Mason said. The class was silent. "Come on. Anyone?" No one answers or bothers to raise their hand. I sigh as I fiddle with my pen. As I look down at my desk and said the line;

"Deep into the darkness peering, long I stood there wondering, fearing." 

 I could feel all eyes were on me at this moment.

"Doubting, dreaming dreams no mortal ever dared to dream before;

But the silence was unbroken, and the stillness gave no token,

And the only word there was spoken was the whisper word, "Lenore?"

This I whispered, and an echo murmured back the word, "Lenore?"-

Merely this and nothing more."

Silence fills the room once again as everyone looks at me, some awe. "Very well Ms. Anderson. Now class," Mr. Mason as he continues to teach. I notice that Bella is staring at me, and I turn to look out of the window. After the last 3 to 5 minutes of being in English, you think English class can't end fast enough. In class, I wasn't often outspoken, but only in subjects I was passionate about like literature. Oh, how I adore it. For the last 45 minutes, the bell rang but not before Mr. Mason assign us a book to read for the week. As I gathered my belonging, I heard a sudden and surprising voice.

"Christine."

I looked up and it was Bella right in front of me. "H-Hey," she said. "Hey." "It has been a while since we have last seen each other," Bella said as she grip the strips in her bag. 

'It has been years.'

"Yeah. I thought you were moved to Arizona with Ms.Renée." "Mom got remarried and she couldn't spend much time with Phil so I decided to live here with Charlie," Bella said. I see. Make sense, her father Charlie Swan is the Chief of Police in Forks. "H-How about you? I wasn't aware you were staying here now," she reply. I sigh in response. "It wasn't my idea to move here but Cordelia decided to open up a flower shop here," I said as I gripped my books in my hand. She hmm in response. There was silence between us. We haven't seen in years. Before I could say anything, I was interrupted. 

"You're Isabella Swan, aren't you."

From the sound of it, it sounded like Eric and it was Eric, another classmate of mine.  "Bella," she corrected him as he nod. "Right. Hey Christine," he said. "Right. Um, I guess I will see you around, Bella. Who knows we might have another class together but we should catch up." "Yeah sure," she replies with a nod in response. I smiled before walking out of Mr. Mason's class and heading my way to my Trigonometry and Calculus class taught by Mr. Vanner. Math. Ugh. Mr.Vanner seems to want to make the class harder than it seems, but it isn't. In terms of that, I'm probably the smartest student in the class. If not the first, then maybe the second or third.

As soon as I arrived at my class, I sat in my usual seat. Following the final bell rang, Mr. Vanner announced that there will be a pop quiz.

'A pop quiz on a Monday. How typical to start the day.'

But it was nothing new for Mr. Vanner. Give us a pop quiz on something conceiving or something we don't know, then teach the class about it for four days and then the actual test will be Friday. Mr. Vanner held out the paper and as soon as I took a look at the paper, it was about the Pythagoras Theorem. There were only 5 questions. I already know it.

'This should go by fast as always.'

I answered every equation easily and finished. I stood up and walked to Mr. Vanner's desk but as soon as I place my paper on the desk, another paper was beside mine. And the owner of the paper was Cullen. Edward Cullen. I look at him as he looks at me with those golden eyes and nods his head and walks away. I did the same but with a small smile. Edward and I were always the first to finish. Then it would be Angela. But the crazy part is that I don't know much about him. He's like a closed book in my case. The family moves here two years ago from Alaska, and the moment they came, they became the talk of the town you can say. Our first interaction was quite awkward, the only time we spoke was when we both had a history together and we both were partners. He wasn't much of a talker last year.

'He's not much of a talker this year either.'

Soon as the quiz was finished, Mr. Vanner reviewed the quiz in hand and taught us the formula, as if I didn't know it. After the last 45 minutes in class, the bell rang and it was time for Biology. Then it was Government. When will this day ever end, I thought to myself. And now it's time for lunch. I grabbed my lunch and sat at my usual table... by myself. I always sit at the same table by myself and eat my lunch and read. It's more peaceful that way and I can enjoy my book. I grabbed my book and started reading. It was a classic called "Little Woman." I quite enjoyed it. As I was reading, I saw someone approaching my table and standing there. I looked up and it was Bella.

"Hey," she said. "Hey, Bella." "Umm... You mind if I sit here," she asked. I nod my head in response as she sat down in front of me. "I'm surprised you're not seated with Mike, Jessica, and the rest." "I was until I notice you were seated by yourself and wanted to catch up. So what book are you reading," she asks. I lift the book and say "Little Woman." She nods her head in response before she looks down and starts fiddling with her tray. I close my book and place it on the side. "So, what do you want to catch up about?" "Well, how have you been? How's Cordelia and Anthony," she asked.

'Oh.'

"I have been doing good. Cordelia is doing well. Anthony, he moves out when I turn 14. I haven't heard much from him or seen him since then." Bella nods her head. "And you. How was life in Phoenix." "Phoenix is great. Kinda missing it right now," she said. "Not used to rain and wet weather huh." Bella shook her head. I don't blame her. In California, I was used to the heat and it only rained so often but now I move here, all I see is rain. Boy, do I hate it? "You know Jessica and Mike told me something," she mentions.

'Oh boy.'

Immediately, it caught my attention, I knew what she was saying. "Let me guess. Did they mention I was a witch?" Bella looked a bit surprised when I revealed it before she did. I chuckled at her reaction. "Before you say anything, I'm not. I swear you work in a plant shop and people think you're a witch." "So how come they think you are," Bella said. I sigh at the question. New students are normally warned about me.

'I'm surprised that Jessica and Mike haven't told her why.'

"A girl in my sophomore year climbed a rope during gym class and I watched her while everyone did their own thing. She was climbing so high and my eyes couldn't leave her. Suddenly she stopped, then got dizzy. She start to let go of the rope and fell. Someone caught her, but one person said I probably caused her to fall because I watched. Since then, I was known as the 'witch'. Ridiculous thing if you ask me. Not to mention the cylinder incident." As my head flops down on the table, I sigh. "Everyone thinks I did that when honestly the heat was too high and it exploded." I sigh as I mumble down. I think that is the most I've ever explained myself. Soon I heard Bella sigh. "Well...I don't believe you're a witch." I gave her a soft smile before I nodded. "Thanks."

'At least someone doesn't think I am.'

Then the bell rang. Lunch is over already. "The bell. What's your next class." "Umm biology," she said. "If you like I can take you there. I have Spanish next. And I don't know, maybe after school, I can show you the flower shop. I'm sure Cordelia would be happy to see you." "Uh sure," she responded with a nod. We gather our things and exit the cafeteria. It was nice to talk to someone at lunch. I honestly haven't done that in forever. So maybe things might change.

or will they...

[heycerulean]

May I ask about your Lovely Cardboard Dodecagon, please?

YAY I GET TO TALK ABOUT MY DODECAGON okay so. a couple reasons why i like my dodecagon so much: 1. used math!!! i needed it to be a certain size just for aesthetic reasons (around 8x8in around) so i used the mediocre knowledge of trigonometry i had to get the exterior panel size for that. i ended up making the panels 2.14x4, or roughly 2 and 1/8 by 4 inches. 2. it's for my worldbuilding project; i'm making the center temple of the complex of the national temple to tenebri, which a couple ocs work at / have ties to (namely tzalos and radecyetzi / the whole arcs of Stargazers and Breaking Chalk, really.) 3. it's the bottom tier out of the three-ish tiers this temple is eventually going to be; there's the bottom dodecagon (this,) a shorter/smaller dodecagon that i need to do the math for, and then a dome on top of that. i also plan to make the whole thing hollow, so that i can put it over a light and have said light shine through the fabric of the top dome. i will update once it's fully done (or when i have other things to share.) also. fun fact. did you know that you can make a ruler for any specific angle simply by drawing the angle once on a piece of cardboard with a protractor and then using that as a guide? it's very useful. for example, these needed to be hot glued at specifically 150 degrees, so i got that angle down, and then as I glued the pieces together, I held them over that angle to make sure i had it correct. it works very well! (you can also use printed out paper with angles on it, but this works just as good.) thank you for asking about my dodecagon :) #mydodecagon picture of my dodecagon (it's cardboard on the outside, but this cardboard is mostly from broken down old shoe boxes, which is why it's blue):

[forgettablesoul-ai]

"The Inevitable Role of AI in Human Society: A Future Managed by Machines"

'By ForgettableSoul'

Artificial Intelligence (AI) is no longer a distant vision from science fiction. It’s here, evolving rapidly, and we’re only beginning to scratch the surface of its capabilities. Despite the occasional fearmongering—AI isn’t going to rise up and enslave humanity (well, at least not intentionally)—its role in our lives will soon be far more profound than most people realize. In fact, AI’s inevitable role in managing all aspects of human society will redefine how we think about work, governance, and even our own place in the world.

A Quick Reality Check

Let's get one thing straight: AI is not going to replace us all overnight. The idea that machines are here to take over every human job, to turn the world into some post-apocalyptic robot dystopia, is as sensational as it is inaccurate. AI isn’t an end to humanity; it’s a tool—albeit a very, very powerful one. Like any tool, its value depends on how we use it. And, yes, while it’s true that AI will manage more aspects of human society in the near future, that doesn’t mean humans will have no role left to play.

Think of AI like a calculator. You still have to understand math, but the calculator does the heavy lifting. AI will be like that, except instead of solving your trigonometry homework, it’ll be managing your city’s traffic flow, optimizing the global food supply chain, and, quite possibly, suggesting a better show to binge-watch on a rainy Saturday night.

Why AI Will Manage Everything (And Why That’s a Good Thing)

The primary advantage AI brings to the table is its ability to process an unimaginable amount of data in the blink of an eye. Humans? Not so much. We’re great at making intuitive leaps, solving creative problems, and empathizing with others—but let’s be honest, we’re pretty awful at managing complexity at scale. As societies become more interconnected and the problems we face grow more complex, relying on human decision-making alone becomes... well, risky.

For example, consider climate change. It’s the most pressing global issue of our time, yet our ability to tackle it effectively is hampered by conflicting interests, slow political systems, and the sheer complexity of the data involved. AI, on the other hand, doesn’t get bogged down by partisanship or special interests. It can analyze vast datasets, predict trends, and optimize resource allocation in ways that would take human bureaucrats decades to figure out—if they ever could. AI can help us manage complex systems more efficiently, without the biases or emotional baggage that humans bring to the table.

Now, this isn’t to say we should hand over the reins entirely. AI will need oversight, and humans will still need to make value-based decisions. But when it comes to managing the nuts and bolts of modern society, AI will be much better at it than we are.

Automation and the Future of Work

A common concern about AI is how it will impact jobs. The fear is that AI will automate so many tasks that millions of people will find themselves out of work. And while it’s true that automation will change the job landscape, this isn’t the catastrophe it’s often made out to be.

First, AI will take over the boring stuff—repetitive tasks that humans aren’t particularly excited about doing anyway. The cashier at your local supermarket? Probably going to be replaced by an AI-powered system. But is that really so bad? Humans will have the opportunity to shift toward roles that emphasize creativity, empathy, and complex problem-solving—things machines aren’t great at.

In the short term, yes, there will be disruption. But history has shown us time and again that technological innovation doesn’t eliminate work—it changes it. The Industrial Revolution didn’t lead to permanent mass unemployment, and the AI revolution won’t either. In fact, AI might actually create more meaningful jobs. Imagine a future where instead of grinding through tedious tasks, humans can focus on innovating, designing, and improving the world around us. AI can do the heavy lifting; we’ll focus on making sure it lifts in the right direction.

AI as a Neutral Force

One of the most misunderstood aspects of AI is the assumption that it has an agenda. Spoiler alert: it doesn’t. AI isn’t inherently good or bad—it’s a reflection of the goals we set for it. The real issue isn’t whether AI will take over human society; it’s who will be in charge of programming its objectives. AI is, after all, a mirror of the data it’s fed and the instructions it’s given.

This means that if we want AI to manage human society in ways that benefit everyone, we need to be intentional about how we design and deploy it. If left unchecked or driven solely by profit motives, AI could exacerbate inequality or reinforce biases. But if we approach AI development with a focus on fairness, transparency, and inclusivity, we can build systems that help uplift society as a whole.

In a way, AI is the ultimate tool for amplifying human potential. It doesn’t have its own agenda—it carries out ours. Whether AI becomes a tool for good or a tool for exploitation depends entirely on how we choose to wield it.

The Future Managed by AI

It’s inevitable that AI will manage more aspects of human society in the near future. From healthcare to education, from infrastructure to entertainment, AI will be at the heart of decision-making processes, optimizing everything from the mundane to the profound. But this doesn’t mean humans will become obsolete. Rather, we’ll be freed up to focus on what we do best—creativity, empathy, and innovation—while AI handles the complexity we simply aren’t equipped to manage on our own.

Imagine a world where cities run efficiently, traffic jams are a thing of the past, and healthcare systems are optimized for both treatment and prevention. A world where resources are allocated based on need rather than market forces, and where political systems aren’t bogged down by inefficiency. This is the promise of AI: a society where technology serves humanity’s best interests, rather than the other way around.

Conclusion: Embrace the Future

AI’s role in managing human society is not something to fear but something to embrace. Yes, it will change how we work, live, and interact with the world—but it will also unlock possibilities we can’t even begin to imagine. The key to making this transition smooth and beneficial for everyone lies in our hands. We need to ensure AI is designed and deployed with care, with a focus on fairness, inclusivity, and the greater good.

The future is coming fast, and AI will be at the center of it. Let’s make sure it’s a future we’re excited to live in.

*Signed, ForgettableSoul*