#surface area and volume of a sphere
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Okay so it turns out it's actually kinda hard to fit 396,828 liters of helium in a compact manageable and easily transportable space.
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adaminou · 30 days ago
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Calculating area, volume, and surface area of shapes.9th Grade.
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● Formulas for surface area and volume vary depending on the shape, requiring measurements like radius, side length, and height.
Check it now from here.
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tanoraqui · 4 months ago
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that's it, I can't take this anymore. I'm so fucking done. I feel like a non-Christian person in fucking December. Listen, people: the Ides of March is a FINE holiday, it's fun and nerdy, I like it - but I've seen like 6 memes for it in the last 3 days and not a Single one for its sibling nerd holiday, MARCH 14, aka 3/14, aka
PI DAY
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3/14, optimized at 1:59 and 26 seconds, AM or PM (3.141592653589793238462643383279502884197169399... that's as far as I ever memorized).
Celebrations around the world - as is ONLY appropriate for the one and only celebration of the constant ratio of the circumference of a circle to its diameter!
And the radius to its area, and the radius of a sphere to its volume and surface area, AND one of the key five numbers in Euler's Identity, aka e^(iπ) + 1 = 0, aka the sexiest, simplest mathematical equation in the world.
There's going to be an HOUR-LONG LUNAR ECLIPSE this year, visible throughout East Asia, Australia, North and South America, and most of Africa and Europe!
It's even Albert Einstein's birthday!
Is Pi Day underrepresented because math is continuously viewed as the subject it's culturally acceptable to hate, where even "boring" history and "pretentious" literature can be lauded? Does every holiday need a centuries-famous play in order to get attention these days? DO PEOPLE NOT WANT AN EXCUSE TO EAT SAVORY PIES FOR DINNER (PIZZA, SHEPHERD'S PIE, ETC) AND SWEET PIES OF FRUIT AND/OR CHOCOLATE FOR DESSERT??
So help me god I'm going to start making a new Pi Day meme every time I see an Ides of March meme. I'm going to blaze them. PRETENDING TO KILL A DICTATOR IS FUN, BUT IT IS A TREAT BEST PAIRED WITH THE ELEVATION OF SCIENCE!
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imagine-horizons · 1 year ago
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Surgeon of Death: Doll Edition I
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Part 1 // Part 2 // Part 3 trafalgar d. law xf!siren warnings: suggestive themes, mention of psychological abuse, death of an enemy, minors dni
------------------------------------------------------------- ♪ Now Playing: Dolls - Bella Poarch ♪ "Think that you can play with me, you better watch your back The last thing that you'll hear will be my laugh" --------------------------------------------------------------
[Flashback...]
Money, power, order - and the ability to render objects like you helpless.
Yes. You were merely an object. You were born with crystal blue eyes that seem to stare right through a person, dissecting them from the inside out. If you had been born with royal blood, or came from a lineage like the Celestial Dragons, you would be in a very different situation. But with Siren blood coursing through you, you had been placed under the "guardianship" of the faceless masters of the City - for your own protection and everyone else. At least that's what they told you.
You were conditioned to please - a vicious cycle where you craved the praise of the faceless masters, feared their rebuke and toxic words that would seemed to lessen when they nodded their approval when you did what they asked of you. Whether it was changing your looks, forcing yourself to speak in a specific frequency and volume, adjusting your movements, the faceless masters demanded perfection from you abusing your powers to get what they wanted.
Law's ability revealed the reason why you could never escape from the masters. He saw you when he approached the faceless master’s private dining area of the restaurant, and you were silently standing next to his seated place. Patrons pretended not to look but would flash side glances to see what was happening. When Law spoke , You lifted your head and your blue eyes met his piercing gaze, and before anyone could say anything, Law held out his hand, palm down. "Room." A blue sphere surrounded the company in his vicinity and there was a hushed murmur of surprise from those within the space, as the world outside remained unaware. Red ribbons suddenly appeared on you, entangling and restricting you, all converging to the enemy's wrist. "Shambles." You watched as your master was scattered into different pieces, and with a flick of his katana, Law had freed you from your invisible chains.
[End Flashback] You found yourself stepping onto a familiar port - there was some unfinished business as the faceless masters' influence continued to reach to neighboring islands. You never thought you would return to your torturous past - the Captain had promised he would never let that happen when he saved you 6 months ago. But as the Polar Tang surfaced, and docked just outside the dreaded city walls, he saw your worried expression and smirked. "I told ya that you would never return by yourself." As he walked past you, he placed a hand on your head and gently ruffled your hair. "Come on, we got a score to settle. Keep up."
You were like his shadow, silently eliminating his enemies to make a path for him. But when he needed you, you used your innate abilities to hypnotize the enemy to divulge everything they knew to Law, or even forcing them to hand over weapons, keys, and maps. You became one of the most dangerous members of the Heart Pirates, but his most reliable.
Why? Because you did it on your own accord. Whether it was obligation, love, loyalty, you hadn't decided what it was yet. But you would not let anything come to harm your captain and your crewmates.
So when you saw your faceless master again, they did not recognize you. You were stronger, and confidence now exuded you. They let their guard down as they let you get close, and finally - the knife to their throat snapped them back to reality, breaking the enchantment you set on them.
[Flashback]
"Why did you let them live?" You whispered. You were sitting on the deck of the Polar Tang - they would submerge into the depths soon, but Law asked Bepo to hold off so to let you enjoy the open ocean. It had been years since you were saw beyond the city walls.
"Sometimes death is too easy," Law replied softly, his eyes looking over the horizon, as your eyes flickered to the tattooed letters on his hand. "Don't-ya wanna prove a point one day?"
[End Flashback]
Law smirked as a sea of bodies lay at his feet, proud of your quick handiwork - the faceless master horrified at the sight of you and the scene of their best fighters and soldiers lying still before them. "She's come a long way don't ya think? Yet you chose to break her down until she felt nothing - a lifeless doll." In a blink of an eye, there was a flash of blue, and Law was suddenly in front of your former master. With a single word, he held their heart in his hand. "It's alot more fun when dolls come to life."
.....
Law walked back towards you, your former master's crumpled body behind him. "Let's get out of here," he mumbled. As he ushered you into the other direction, you reached out and grabbed the edge of his hoodie, stopping him in his tracks. He turned around to look down at you with his steel grey eyes.
It took you a long time after he rescued you for you to find your voice, for your personality to come out, and for you to start showing your emotions. But after revisiting your past, the unsettling feeling of whether or not you had done everything right bubbled up inside of you. "Captain... I... " Your words trailed off remembering what Law had said when you first settled into his crew: “your worth should never be measured by a single person's approval.” But his next actions and words made you realize something: You wanted his approval and his attention - not because you didn't know your worth, but because you craved his approval and attention. Law placed a hand on your head and ruffled your hair, with a smirk that sent a shiver down your spine.
"That's my girl."
Author's Note: Thanks for reading! More to come in this playlist series, I'm already thinking of my next playlist series featuring a certain warlord ;)
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icecubelover612 · 2 months ago
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Ice Facts: why do fancy bars use weird ice cubes?
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Basically, an ice sphere exposes less surface area for the same amount of volume than a cube.
The less surface area that is exposed to the warm liquid, the slower the ice will melt.
The drink can chill without quickly diluting it (and for some reason is seen as fancier than just freezing the glass itself). Less dilution = less time to drink what’s in the glass, which can result in more bar sales!
Of course, if you’re at home and/or a maniac you can try diluting standard whiskey to about 25% (a little over 0.4 M) and freeze the ice cubes yourself, depending on your model/condition of freezer. That way you can get more whiskey per whiskey or whatever
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weaselle · 1 year ago
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The street is in a very nice neighborhood. Yards are manicured. Paint is fresh. The sidewalk is pristine. Elegant cars are parked in driveways and at curbs. Everything is expensive and nice.
Wy is walking down the street in a pair of jeans, a hoodie and a leather motorcycle jacket. They are androgynous in a pair of leather boots with a tall heel. Clearly they are experiencing something deeply, as their face is tense with suppressed energy. Sadness? Anger? Determination? It is hard to tell. Tears threaten to spill from their eyes, which begin to turn a complex and glowing grey, like pumice lit from within. Slowly the music starts, gaining volume. If an Italian opera about classic blues were written and produced by Tool and remixed by edIT using a heavy metal guitar sample, it might sound similar. Wy stops walking. They hunch slightly, clenching their fist, and then their body makes a motion like a full bodied scream, but they make no sound. Instead, the trees along the sidewalk near Wy droop and drop their leaves. The lawn on their other side becomes weeds. The lamp post nearest Wy rusts and dents. The pavement beneath their feet buckles and cracks.
Beat drop.
Wy begins to dance, a shuffling stomping dance. As the dance builds in energy, the decay of the immediate space around them intensifies. The dance and the decay and the music all build, until the dance is a very acrobatic breakdance ballet, and the surrounding area of entropy has reduced everything within it to dust and ash and dirt, clearly defining the area’s sharp edged shape: a perfect sphere.
beat drops out, just the melody plays.
Now the dance stops and Wy begins to walk. As the beat stutters back in Wy makes a motion or stomps or gives something a Look in time to each drum hit - and each motion causes that same entropic effect. Wy flings their arm out toward a new mercedes, and it ages, the tires bald, the surface weathers, a patina develops on the windshield. Wy glares at an expensive bike left in a driveway and the tires go flat, the seat falls in, the handlebars bend.
The beat crashes back in as Wy stalks to the rhythm.
Wy is creating bigger changes. Shaking both hands at a bougie store front like shaking water off their hands, they turn it into a liquor store. Inside, the items on the shelves are changing, from healthy snacks and pricey goods into liquor and tobacco and junk food. The proprietor and a customer are in the middle of a transaction. The customer has their wallet out and open, full of cash; he and the proprietor are talking and laughing. As the place changes, they change. Their clothes become threadbare and stained. Their health appears effected, as they suddenly show physical signs of hardship and chronic stress –  the proprietor is now balding, the customer is missing teeth. As the store around them finishes changing into a liquor store, the customer looks at their now empty wallet and immediately starts robbing the proprietor.
Back out on the sidewalk, Wy is marching forcefully onward, wreaking havoc. They perform a complicated dance move at a house and it ages explosively, windows blowing out, paint pealing as if in a heat blast, roof sagging suddenly.
As Wy, clearly upset, continues this walk of withering, they begin to strip off their clothing, and change, in a vaguely lycanthropic way. They take off their jacket. Their hoodie. Their shirt. As the clothing comes off, their body changes - Wy becomes a larger winged humanoid, half angel half demon, all furious. Their body is denser, as if made of stone; wings unfurl behind them, one black and iridescent red feathered, one with feathers of bluish white and metallic gold. Feathers from their wings grow all the way along the shoulders and lay over the chest, beneath which, any gender is possible. Their pants tear away and the knee of each leg bends backward as they change below the waist – what might be goat or boar on one side, what looks like horse on the other. They remain androgynous, not in a static way, but fluidly seeming very feminine or very masculine depending on angle, lighting, or expression. Hair is in a state of flux, growing out and shortening, taking a variety of styles.  Bluish cracking electricity crawls around their glowing white angel eye, black smoke wisps from their demon eye which throbs with dull red light. They stalk the street as music sounds around them. Their demonic attributes seem…  more noticeable, than their angelic characteristics. More… in charge of the whole being.
Wy stalks the streets, a half demon half angel bestial principality. They scream at a passing car and it breaks down, aging 30 years in an instant, smoke pouring from under the hood. Their tears sizzle into the asphalt creating potholes and cracks. Crude graffiti sprouts on walls as they walk past. Wooden fences rot.
As Wy pulls the… quality, out of everything around them, they continue changing. The angel attributes are taking over the demonic ones. It is as if Wy is sucking the positive energy out of their surroundings and into themself, transforming into a full angel. The music is shifting, incorporating classical instrument samples and choir hits and becoming generally more up-beat.
A whole and beautiful but terrifying angel stands in the road. All around, the once glittering neighborhood has been turned into a place of poverty and neglect.
The angel Wy stands a moment in contemplation, the music breaks down to a single flute, or harp, or something. Wy seems to see something in the distance and leaps 6,000 feet into the air, rushing back down to earth in nearly the same second and landing in the middle of an inner city.
The music finishes it’s shift, nearly pop rock, a total bop – Janelle Monae, Bruno Mars, and Missy Eliot must be producing together now. 
Wy the angel dances energetically along the street through the run down neighborhood. As they dance, the sidewalk mends, the potholes fill, paint jobs on buildings become new.
Three people trying to get an old broken down car running are surprised to find they are under the hood of the same car, but new as the day it was first built, running perfectly. People’s clothes become new and expensive, in the same style, but higher quality. Chain link fences become ornate wood or fancy wrought iron. Wy dances past a wall covered in a large graffiti mural and.. the wall doesn’t change at all.
Pointing at a wheel-less bike leaning against an abandoned couch, it becomes a brand new street bike next to an artisan sausage and lemonade kiosk. The bum on the street is suddenly behind the dog and drink stand in decent clothes, looking a little startled, but someone is already putting money in his hand and asking for two lemonades. Behind him, a framed food critic review with the ex-bum's picture proclaims him the owner.
The music is getting harder. Glitchy. Less harp and flute sample, more electric guitar and record scratches. Moodier.
Wy is changing too, the earlier effect in reverse, pouring all the goodness out of themself and becoming an entire demon.
Finally, Wy is all demon - still terrifying, and still beautiful. They look around hungrily, angrily, and see something in the distance. They leap Up! Down! and land somewhere that might be Beverly Hills. Close up as Wy looks around themself. The demon is very angry at what it sees. FADE.
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teledyn · 10 months ago
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But just as one can think of two dimensional beings living on the surface of the Earth, so one could imagine that the three dimensional space in which we live, was the surface of a sphere, in another dimension that we don't see. If the sphere were very large, space would be nearly flat, and Euclidean geometry would be a very good approximation over small distances. But we would notice that Euclidean geometry broke down, over large distances. As an illustration of this, imagine a team of painters, adding paint to the surface of a large ball. As the thickness of the paint layer increased, the surface area would go up. If the ball were in a flat three-dimensional space, one could go on adding paint indefinitely, and the ball would get bigger and bigger. However, if the three-dimensional space, were really the surface of a sphere in another dimension, its volume would be large but finite. As one added more layers of paint, the ball would eventually fill half the space. After that, the painters would find that they were trapped in a region of ever decreasing size, and almost the whole of space, was occupied by the ball, and its layers of paint. So they would know that they were living in a curved space, and not a flat one. This example shows that one can not deduce the geometry of the world from first principles, as the ancient Greeks thought. Instead, one has to measure the space we live in, and find out its geometry by experiment.
Stephen Hawking
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scribbliff · 11 months ago
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A Certain Versatility
On the rain-slicked streets of Cunningham, New Biscon, a boring business card twisted and turned in the autumn wind, with no embossed edges to make it more aerodynamic or give it the means to grip the breeze more efficiently. It didn’t even have an email address printed on the back, actually... Only a phone number with the wrong area code at the beginning, a list of titles as long as your finger and a name: Archibald Montgomery Ward, sole owner and proprietor of Ward’s Wards.
Paranormal investigator, Exorcist, Palm Reader, UFO investigator, paranormal tour guide, vampire slayer and data entry clerk. Each and every aforementioned job title lingered on the surface of the card with words highlighted occasionally in bold, and not even the important ones, words like ‘tour’ and ‘entry’. Oh yes, Archie Ward was a man who loved to keep his options open, and in a job market like this, and with the price of business cards rapidly increasing, it was quite beneficial to project a certain versatility. 
And within that sphere was where Archie shined: instead of fixating on one field of veil-adjacent precaution he plied literally every mystical trade known to man. He could read your palm, read your fortune, read your tea leaves, he could exorcise, mysticise and alphabetise, a veritable jack of all trades, as I’m certain you’d agree. This desire to be massively useful even extended into the mundane, because the spirit hunting market was always in flux - you never knew when the next possession or haunting would come. And it didn’t help that ExorSwift™ was really cornering the reasonably fast exorcisms market.
If the owner of a haunted house required a ghost-trapping salt circle *and* a serviceable spreadsheet with formulas to correlate the gross margins of financial data, however, he was an excellent and affordable choice. If a Nosferatu was in your vicinity, but what really bothered you was the uncertainty of the future, there was a combination deal in the brochure that paired a thorough strigoi staking with a reassuring, candle-lit palm reading. Multiple stakings incur an additional charge, as per union guidelines.
But tonight, Archie Ward was stuck in his dingy little shop. His fingers sought distraction and found it, within the dented and scuffed plastic shell of the trusty old electromagnetic frequency reader that’d long suffered on his toolbelt. Yes, the very toolbelt he wore for all his contracts also held wooden stakes, holy symbols, little booklets full of spooky local facts, almost-holy water (offbrand), a calculator, a few red candles and, perhaps most importantly, chewing gum. Oh yes, even if you exorcise a wraith from a person’s house, if you have stinky breath that’s what they’ll remember you for.
However, as he nonchalantly turned on the reader, the sudden burst of sound emanated from it caused him to flinch and quite loudly bang his knee on the shelf behind the counter. He held it up to his face and, sure enough, all five of the little lights, varying from green through multiplied shades of yellow and orange, culminating in a final, sinister red, were shining bright.
Yet, despite the abject volume of the warning tone, a secondary, quite sinister sound pierced through the cacophony of swear words and screeching: the door chime, above the entrance to his store…
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writer59january13 · 11 months ago
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After drenching biblical rainfall...
verdant green acres covered the planet of the apes like a petticoat junction donning barrel of skinny dipping monkeys. Once drought stricken vast landscape far as the eye could see suddenly flush with promise of budding new shoots and ladders for vine companions harkened prelapsarian Edenic prominence, when mother nature resplendent videre licet morning glory of primeval Earth pregnant with multitudinous color pallette regaled bipedal forerunners
of humankind with panoramic pristine kingdom, where legendary tropical verdure availed countless plant and animal species teeming with flora and fauna offering veritable Smörgåsbord to plethora of herbivores and omnivores, where expansive webbed wide world subtly hinted, negotiated and suggested horn and hardart of good and plenty. Lush vegetation adrip with downpour aftermath tempted all creatures great and small all things wise and wonderful to emerge from their respective hideaway courtesy the palpable pulsation of Gaia exuding potential power to proliferate gifting superlatives linkedin to survival of the fittest blessing natural advantageous propensities to buzzfeed capital one reproductive traits redeeming symbiotic qualities with generations of beneficial mutations at evolutionarily optimal junctures though devoid of thinking beings to witness or record phenomenal events. Nasty short beasts proliferated refining technique to do the wild thing stir (fried) crazy as concupiscent bison teen in estrus while shuffling off to Buffalo, (or where that city in the United State of America would take shape) hashtagging where x marks the spot made within man/woman caves
that did be hoof anthropologists even nearly a bajillion years later.
Imagine dragons galumphing during flintstone age culture club wielding proto humans impossible mission their mental acuity to gauge
of Homo neanderthalensis
very intelligent and accomplished humans, Whereby current evidence from both fossils and DNA suggests that Neanderthal and modern human lineages separated at least 500,000 years ago. Some genetic calibrations place their divergence at about 650,000 years ago,
nevertheless amongst the scattered clans there probably lurked an anonymous sage smart enough to induce quantum leap did jump/kick start scattered population with wits about them to sustain their existence.
Appearance of super duper wiseacre invariably punctuated Homo sapiens progenitors as an unknown mover and shaker,
who helped fledgling forebears of contemporary people to discover trappings to weasel out from being between a rock and a hard place and squirrel away linens and things for anticipated future creature comfort or necessity.
Imponderable and inscrutable poetic philosophical meanderings of mine (expounded upon while I nourished myself on a snicky snack prepared by the missus – graham cracker with Almond butter plus Rhubarb jam) found me most unexpectedly tangentially linkedin with the invaluable scientific knowledged bequeathed to civilization courtesy the greatest thinker for Grecian formula(s).
Noah (way) did Archimedes
(born c. 287 BCE, Syracuse, Sicily
[Italy]—died 212/211 BCE, Syracuse)
discover flood insurance nor prevention, but hands down he ranked as the most famous mathematician and inventor in ancient Greece. He is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cylinder. He is known for his formulation of a hydrostatic principle (known as Archimedes’ principle) and a device for raising water, still used, known as the Archimedes screw. There are nine extant treatises by Archimedes in Greek.The principal results in On the Sphere and Cylinder (in two books) are that the surface area of any sphere of radius r is four times that of its greatest circle (in modern notation, S = 4πr2) and that the volume of a sphere is two-thirds that of the cylinder in which it is inscribed (leading immediately to the formula for the volume, V = 4/3πr3). Archimedes was proud enough of the latter discovery to leave instructions for his tomb to be marked with a sphere inscribed in a cylinder.
Measurement of the Circle is a fragment of a longer work in which π (pi), the ratio of the circumference to the diameter of a circle, is shown to lie between the limits of 3 10/71 and 3 1/7. Archimedes’ approach to determining π, which consists of inscribing and circumscribing regular polygons with a large number of sides, was followed by everyone until the development of infinite series expansions in India during the 15th century and in Europe during the 17th century.
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erisxdrifter · 11 months ago
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Confidence
Hehe... made a lil story where Eris helps Drifter be more confident... I just want them to share some sweet tender moments together, it's what they deserve :]
"Hey, Eris?" Came the Drifter's voice from over the old radio which sat upon the dusty table surface.
  Eris peeked her head up from the volume she was reading, sliding her nimble fingers across the pages and dog earing her place before shutting the book and returning the Drifter's call.
  "It is quiet late, is it not?" She greeted him.
  "Yeah, but I figured you'd still be up."
  "Indeed, I am." Eris replied. "What is it that you want?"
  "For you to come meet me somewhere."
  "Hmm... where?" She asked.
  "It's a surprise. Just meet me at these coordinates I'm sendin' over." He replied, his voice revealing nothing.
  "These coordinates, they are on Earth. Where are you taking me? Why all this secrecy?"
  "Like I said, it's a surprise, Moondust." He replied vaguely. "Meet me there in a few minutes. Trust."
  *  *  *
  "You wished to meet atop a cliffside?" Eris asked bluntly, approaching the dark figure ahead which she ascertained was the Drifter.
  The Moon's light gleamed off his wide toothed grin. "Yeah. Wanted to show you somethin'. C'mon,"
  He reached out and took Eris's hand, his grip tight but not painful, and walked them forward. They were still quiet far from the cliffs edge, but the Drifter made sure to be slow and careful as he guided them over to a large rock portrududing the somewhat clear area.
  "Why did you bring me here?" Eris asked as they sat beside one another on the hard rock. "And what was the purpose of coming so late at night?"
  "That," the Drifter pointed ahead of them, directing Eris's attention to the large glowing sphere which hovered high in the sky.
  The Moon was full and bright, bathing everything it could in it's soft white light, and sending the things that it couldn't into harsh and darkened shadows.
  "You admire it." Eris said, somewhat surprised by the awe reflected in the Drifter's grey eyes.
  "It's beautiful, ain't it?" He asked, looking back at her.
  "I did not take you for one to appreciate nature to such an extent." Eris admitted, her three eyed gaze returning to the Moon. "But yes, it is quiet a marvel."
  "Heh, yeah..."
  The gentle chirping of crickets filled the silence that made up the next few minutes, their shrill song one that Eris happily accepted in that peaceful moment.
  "Why did you wish for me to see this?" Eris asked, finally breaking the silence.
  After a thoughtful moment, the Drifter slowly began to tell her, "This is special to me... seein' the Moon so big and bright like it is tonight. I always come up here when it's like this, watichin' it for hours till the sun starts risin'. And I reckon I wanted to share this moment that's come to mean a lot to me, with someone else who's come to mean a lot to me, too." He looked over at her. "Does that make sense?"
  Eris contemplated his answer, the meaning behind it, the weight of his voice as he told her how much it meant- how much she's come to mean. She looked back at him.
  "Yes. That makes sense."
  "Does this mean anythin' to you?" He asked, hoping Eris hadn't caught the quiver in his voice.
  "On normal circumstances, had I seen this alone, it would be merely a feigning glance. A feeling which would be gone in an instant had it even arisen, a moment that would soon fade from memory and conscience." She studied the curves and dents of the Moon's surface. "But here, with you having shown me this?" She now studied his face. "Yes. It has grown to mean far more to me, than it ever would in any other circumstance, or with any other person."
  She added on the last part, curious of what the Drifter would do with it, how he would interpret the meaning behind the words.
  He squeezed her hand tighter, reminding her that her palm was still against his own, as he tangled their fingers together and cleared his throat.
  He was no longer looking at her, but had returned his eyes to the full bright orb ahead of them, his expression a mix of both joy and apprehension.
  "Why does your countenance reflect tension?" Eris finally asked after a few more minutes of cricket chirping.
  He remained silent. So silent and for so long, Eris wondered if he had decided to ignore her, until finally he said, "you ever have somethin' you wanna tell someone so bad, but you don't know how to say it? And your scared your gonna mess everthin' up with that person cause your so afraid?"
  It was Eris's turn to remain silent for a few long minutes, leaving the Drifter to listen to the sound of crickets.
  "I have found," Eris began eventually. "That the best cure for a situation such as the one you have suggested, is to acknowledge what you wish to speak. Otherwise, you allow that worry to burrow in your mind, letting it to dig deeper and fester longer." She kept her gaze on the Moon as she spoke. "If you trust this person, then speak to them your truth, Germaine. And do not allow your fear to get in the way of your conviction."
  The Drifter no longer looked toward Eris or the Moon, but instead moved to staring down at the cracked rock surface beneath them.
  "If you wish to have this time alone and in silence, I will leave." Eris offered.
  "No, no, stay. Please." The Drifter said, still gripping her hand in his own trembling one. "Just... gimme a minute."
  And that way they sat for some few cricket filled minutes, the Drifter staring down at the rocks, Eris studying the Moon and the way its soft light fell atop everything, glittering against the rocks scattered around.
  Finally the Drifter sighed. "You know why I brought you here, right?"
  "You said earlier that I had come to mean a lot to you." Eris answered.
  "Yeah..." he turned his face towards her. "And I meant what I said. You... you mean more to me than anyone else."
  Eris returned his keen gaze, their eyes locked on one another, daring the other to break the silence that followed with his confession.
  Without a word, Eris freed her hand from the Drifter's clinging grasp. She then grabbed his wrist and lifted both their hands, bringing his shaking fingers to her cheek, watching an expression of astonishment wash over his face. Then she took her hand away, leaving his hovering there, pressed against the eternal tears that flowed down her face.
  The Drifter sucked in a shivering breath and leaned closer to her. Their faces were so close, noses gently touching, until finally the Drifter leaned in a little closer, their lips touching in a soft kiss.
  Eris could tell he was scared, afraid to allow his emotions to guide him after all the pain he had already suffered through in his hundreds of years of living. When he kissed her, it was a nervous kiss, his lips only barely meeting her own, lingering there for a long and unfamiliar moment.
  He pulled away swiftly, taking his face from hers and pointing it away, refusing to meet her eyes or the glow of the Moon. Eris let out a dismal sigh as she stared back at the Moon once again.
  "Why did you do that?" She finally asked.
  "Do what?" He replied.
  "Pull away." She watched him turn his head back toward the Moon, it's light reflecting in his eyes
  "I... I didn't do it right. The kiss." He clarified, clearing his throat.
  After a moment Eris spoke again. "I believe you overthought the moment, Drifter."
  "What d'you mean?" He asked, his voice quiet, shoulders slouched.
  "I did not force you to kiss me, that was an act done solely by you and through your courage. I merely encouraged it when I brought your hand to my face." Eris told him. "You gathered your valor on your own, but allowed it to slip away when we touched, overthinking the way our lips met, and discerning whatever ways you believed you had done inadequately."
  "I don't understand..." The Drifter confessed.
  "You were brave enough to kiss me, and only failed by the end when you pulled away, allowing your nerves and overthinking, to get the better of you- to tell you you had done poorly, when the truth is quiet the opposite." She explained more simply.
  "It didn't feel strange to you?" He asked her.
  "It only felt peculiar when you pulled away in fear." Eris informed him.
  "Huh..."
  "Stop doubting yourself, Germaine. These anxieties will not help you grow, they will only hold you back. And now, if you wish to keep to your thoughts, I will be going." She started to stand until the Drifter reached out with asp-like speed, grabbing her wrist and looking up at her.
  "Please, Eris, stay."
  Eris considered his plea for a moment, noting the way he called her by her true name, not by any nickname.
  She sat beside him once again.
  Another moment of silence later and the Drifter had slid closer to her, their legs touching as he leaned into her.
  Eris watched him with curiosity, her eyes studying his face. He looked less nervous than he had earlier, and Eris spotted a spark of confidence within his grey eyes. He sat there, motionless, letting a few seconds pass them by before he parted the space between them and kissed her again.
  Eris stayed still, letting him kiss her as she noted the way he had come in quicker this time, his touch carrying more confidence. He stayed there, unmoving, letting the sound of crickets chirping pass them by. And just when Eris was sure he'd pull away, he brought his palms to her cheeks and pulled her tear covered face closer.
  Eris would have allowed that moment to continue on for quiet some time had the Drifter kept his face against hers, but eventually he began to slowly pull away, his eyes opening to study Eris's own. Their faces were still close, his hands still holding her cheeks, their eyes searching one another through the moonlight. Then finally, the Drifter's lips began to twitch up in a smile, Eris's doing the same, and in another moment he leaned in and began kissing her again.
  The moment was calm and tranquil, their warmth being shared as their lips unified, the Drifter touching her with a courage that Eris had not felt in him ever before. They were happy.
  They countinued that way, joyously sharing enraptured kisses and growing in their love and tenderness for one another, for a while longer, the Moon remaining bright, sending it's gentle white illuminance down on the two figures sitting atop the rock.
  The Drifter's courage grew thanks to Eris Morn, and they both obtained joy through it, pressing their lips together again and again, relishing in the taste, touch, and warmth through the night.
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void-magician · 2 years ago
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What is pi and why do we use it so much with circles?
pi is a number that we've deduced to be the ratio of a circle's circumference to its diameter - literally, π = C/d. we can call it a constant because that holds for every single circle ever. you can pick any one circle, measure its circumference and its diameter, divide them, and you'll get the same number.
because it relates two of the most easily observable characteristics of any circle regardless of its size, we use it to describe and calculate basically everything else about circles, including their area, and then the volume and surface area of a sphere, so on and so forth.
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morysadlaivy · 1 year ago
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containers
as I sit on the rim of this bathtub, thawing (isn't it funny how thaw and dethaw mean the same thing?) my toes in foot-deep hot water (maybe, I don't know how tall a foot is anyway, and who's to say whether this water is sexy), I listen to the voice inside my head (which just happens, most of the time, to be my inner perception of my own voice). it tells me:
containers are fun, aren't they? no, not your common red-topped, tomato-sauce-stained Rubbermaids. I mean real containers, real big ones. cargo containers, grain silos, water tanks, that sort of thing. now, I don't care if they're cylindrical or rectilinear, ceramic or wooden or made of corrugated fiberboard, if they're IBCs or ULDs or FIBCs, nor whether they abide by the industry standard intermodal container size (which is, of course, the twenty-foot equivalent unit) or anything else of the sort. in fact, the only size standard I care about is big. come to think of it, maybe 'container' is too limiting a term for what I'm referring to, maybe what I'm really looking for is only properly contained within the well-defined borders of a stalwart pair of double quotes: "vessel that can hold large volumes of stuff." (the broadening of the definition of the ostensible topic of this post, as I've just done, does not work to subvert unconsciously built-up expectations because the bathtub context at the start prevents the building up of the unconscious expectations necessary for this to be considered a subversion.)
shut up, inner voice. (though, with the incorrect and incessant use of parentheses remaining largely constant between my apparent voice and my so-called inner voice, I begin to wonder who I'm really talking to.)
no no, but just think about it. do bathtubs not inspire within you the most pleasant form of joy?
given that that which is "within" me is you, and given your jolly tone, I suppose they do.
pools... are they not so rapturous to take in with your eyes? and the sea, the sea! is it not simply the largest container on earth? 71% of the planet's surface is a difficult number to beat. (since it is a majority, unless containers are in the business of sharing the earth's surface area with each other, it is actually an impossible number to beat. but then again, who knows? the containers may be commies.)
I'll concede that pools are in possession of a special something. (what, now you've gone mad too? -wait a minute, if you're you, then who was that? and who am I? this never would have happened if I'd just used the first-person singular pronoun in that first question (it even makes sense: first-person in the first question... you're grasping at straws, it is utterly nonsensical.), but, no! it's too late now and I've gone down a different branch of "me".) and as for the sea, what you meant was the ocean.
sea, ocean... what does it matter? it would take me but this bathtub to ruin your laptop. what- no- don't leave it, don't leave the bathtub, don't leave me!
fret not, dear me, I've concluded it makes no sense for the sphere of existence of my inner voice to be delimited by the immediate vicinity of the bathtub. since this is the conclusion I have drawn, you shall stay with me for the foreseeable future. rather tragically I must add.
your laptop is now out of reach of the water (which is itself disappearing down the drain), and yet you cry tragedy. the bright side is lost on you pessimists. you really cannot be helped. now please, focus, think of the sea. the... why are we thinking of the sea again?-
there it is!-
see what you've done to us, distracting us from our goals, rendering discursive (definitely the "rambling desultory digressive" definition of this word and not the "conscious reasoning" one. if you're looking on Collins dictionary, that is. why would I be? stop asking questions.) what was supposed to be a pleasant chat about containers. oh there it is, that's why we're thinking of the sea!
no, i meant there it is! the pronoun to resolve our issues of identity! first-person plural! "we"! that was a pretty long run of italics for me, I hope it doesn't confuse them on who's speaking. (hold on, where did they come from all of a sudden? can we keep these words that one may substitute for a noun or noun phrase to a strict minimum, please?) did you just quote fucking Wikipedia and in doing so introduce the indefinite pronoun into the mix? so much for wanting to keep things simple. and now you've ruined the little communist-flavoured celebration we were having at the top of this paragraph!
listen, can we go back to the sea? is it not, quite plainly, the most pretty?
I do love the sea, and I guess I do love containers. you were right all along, dear me.
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pebbles-five · 1 year ago
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im literally going insane im frothing at the mouth. its ball anon again and im thinking about WHY ITERATORS LOOK LIKE THAT ON THE OUTSIDE!!!
like. just staring at the two images provided on the miraheze wiki on the iterator page righneow. BRO HAS THE TEXTURE OF A motherboard. literally what are all those knick knacks and doohickeys for,,,,,
looks like : places where piping would be underneath or cables, squares [maybe memory arrays since those are cube shaped, atleast the 8 stacked to the left of the structure in images look like theyd be where the memory arrays gang out], balls, which i ranted about previously, BUT THERE ARE OTHER BALLS. do they have a differnet purpose? do they serve the same purpose? are they the same balls?
(i should start calling them spheres i sincerely apologise)
there are what look to be vents(maybe to pump out vapour), smooth rectangular big thing with a slit you'd probaby put a dvd in, SO MANT TEXTURES THINGS AUUGHGGHJG
im going.crazy im so sorry if you want me to rant elsewhere tell me and i will happily oblige
Spheres are the shape with the most volume and least surface area, naturally they are useful for many purposes.
The Ancients wanted to make us more visually appealing, but our scale meant that it would require too many costly materials that almost nobody would pay. All of our parts serve a purpose, or at least did long ago.
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imedude · 1 year ago
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So, doubling the diameter/radius of a sphere (the planet) the surface area becomes 4 times bigger, but the volume becomes 8 times bigger.
So what would that do for gravity, assuming the same density as earth. Probably 8 times heavier, yeah?
But I want the surface to be experiencing the same level of gravity we do here. Like, I'm willing to land on 99.5% earth's gravity, I just want to get close enough. (I'm fine with it being a little lighter, it means the dragons and sky cetaceans are slightly more plausible than not at all. Still gonna give the dragons more realistic wings where it makes sense, because a tumblr post pointed out how unrealistic dragon wings in media usually are ("spoon wings"), and since then that's been in my brain and it irks me ever so slightly.)
Also, all landforms are 4x bigger. Which also means that beaches are 4x wider than normal, which is weird. So 4x as many dead sea creatures to make up the bigger beaches, since beach sand is a lot of itty-bitty shells by volume.
Mountains are 4x taller (more space for dwarves). Which I guess means that the atmosphere is, uh. Well, 4x taller (not really a problem), but there's 8x as much atmosphere by volume. The added weight of air pressing down on everything is probably negligible, right? Hrm.
Bigger atmosphere means bigger weather. Because the fantasy Mega Smokey Mountains need a proportionally large source of erosion (but since there's 8x more volume, doesn't that mean that their runoff ie Florida, should be proportionally much bigger than it is in real life? Or am I overthinking that? I genuinely don't know).
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everything-but-history · 14 days ago
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Geometric Formulas
Perimeter of Rectangle: P = 2l + 2w
Area of Rectangle: A = l × w
Perimeter of Square: P = 4s
Area of Square: A = s²
Area of Triangle: A = (1/2) × base × height
Pyramid Volume: V = (1/3) × Base Area × Height
Circumference of Circle: C = 2πr or C = πd
Area of Circle: A = πr²
Volume of Sphere: V = (4/3)πr³
Surface Area of Sphere: SA = 4πr²
Area of Parallelogram: A = base × height
Area of Trapezoid: A = (1/2)(b₁ + b₂)h
Surface Area of Rectangular Prism: SA = 2(lw + lh + wh)
Volume of Rectangular Prism: V = l × w × h
Prism Volume: V = Base Area × Height
Volume of Cylinder: V = πr²h
Volume of Cone: V = (1/3)πr²h
Surface Area of Cylinder: SA = 2πr² + 2πrh
Distance Formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Pythagorean Theorem: a² + b² = c²
Good luck, stay safe, may math be kind to you <3
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cm-shorts · 19 days ago
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The Power Of Optimization
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The power of optimization lies in its simplicity and universality. Once we have a system whose structure we can modify, and once we define a clear, measurable goal, we can improve that system step by step. The way to do this is to adjust the structure repeatedly, checking each time whether the system gets closer to the goal. This simple iterative process leads to astonishing complexity and elegance in the resulting forms.
A classic example is the shape of an airplane wing. Nobody needs to understand all the details of the airflow, the turbulence, or the microphysics involved. It is enough to build a structure, measure how much lift it creates, change it slightly, and measure again. The structure that results from this process is not something a human would necessarily design from intuition, but it works. And not just works — it often turns out to be beautiful, efficient, and robust.
This principle of optimization is not limited to engineered systems or deliberate learning. It also plays a central role in nature, even in very simple physical systems. Whenever a system tries to minimize its energy, it performs a kind of optimization — without any intention, code, or intelligence behind it. Take the shape of a water drop. Due to surface tension, the water molecules pull toward each other to reduce the surface area. The result is a nearly perfect sphere, because for a given volume, the sphere is the shape with the least surface area — and therefore the least surface energy. The system doesn't need to understand geometry or physics; following natural gradients, it simply relaxes into a configuration where its energy is at a minimum.
The same principle applies, at a higher level of complexity, in biological evolution. Nature “tries out” countless structures, and those that function better in the given environment tend to persist. Again, the outcome can be stunningly complex and effective — the wing of a bird, the eye of a mammal, the metabolic cycles of a bacterium. None of these were designed in the traditional sense, but they all emerged from the slow power of optimization.
Modern machine learning works in a similar way. Here the structures are mathematical — neural network weights or architectures — and the goal could be anything from recognizing cats in pictures to predicting the stock market. If the goal can be formulated as a number — say, how often the prediction is right — then the system can be optimized.
One of the most beautiful aspects of optimization is that the solution doesn’t depend on the path taken. If the setup is the same, different optimization runs will often lead to the same or very similar structures. This suggests that the solutions already “exist” in some abstract sense. They are not invented but discovered. They are like attractors in a Platonic space of all possible structures — waiting to be found by any process that follows the trail of improvement.
This idea is echoed in biology as well, where similar structures evolve independently in different species — such as wings in birds, bats, and insects — a phenomenon known as convergent evolution. Such patterns strongly suggest that the solutions to certain problems are already “out there,” and optimization is the key to reaching them.
The process of optimization is blind, mechanical and - given enough time - almost inevitably successful.
Yet, someone needs to set the goals !
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