#squares cubes and roots

[mathmedicine]

[QUIZ] PRIMES, PRIME FACTORISATION, SQUARES, CUBES AND ROOTS

Prime Factorisation, Squares, Cubes, Square Roots, Cube Roots quiz-1-primes-pf-squares-cubes-and-rootsDownload

[green-square-anon]

Konrads beloved laments that she isn't able to hold and shelter him like he does her. Isn't able to curl around him from behind and wrap him up in her warmth like he does her. That she isn't able to give him that. For Konrad of all people needs to feel protected.

At some point she actually tries to spoon him. It looks ridiculous. It is possible to spoon someone taller within human height variation, but a baseline trying to spoon a primarch? Her feet barely reaching his ass when she lays outstretched. Her face in his black locks and her holding his hand. Maybe he decides it's too ridiculous and quits but thanks her anyway. Maybe the very fact that his back is warm being is enough to cause that feeling of safety. Either way he is deeply touched by the gesture.

[one-shitpost-a-day]

*square roots exist*

me: hey! that looks like division. division is easy. i know what to do here. wait...

[jrueships]

A CINDERBLOCK IS WHAT I LIKE TO SEE!! YETTHUR 🤓‼️‼️

jaren looking like he says meep

[certified-shellfishhater]

looked at the 4 complex numbers questions i'm supposed to do by tomorrow, did 2 of them, gave up and went to do econs

[math-journal2]

<— Unit 12 — Unit 🍑 — Unit 13 —>

Unit 🍑 : Parent Functions

Note:

Approach asymptote:

Rational___ 1/x

1/x^2

Max or Min:

Parabola ___ x^2

Absolute value__ l x l

Radical __ sqr root(x)

Page 37

[notmorbid]

these violent delights.

dialogue prompts from these violent delights by micah nemerever.

i never told you my name.

who puts those awful ideas in your head?

you're forever assuming the worst.

what's that face? you look like you're going to cry.

you're one of those people who worry all the time, aren't you?

i don't worry, i ruminate. they're distinct actions.

nothing made you. you just are.

beautiful things are supposed to hurt.

people tell you you're shy all the time, don't they?

i don't know how i ever got on without you.

a little trouble is a good thing for a young person.

i wasn't born yesterday. i know what kids get up to.

it's good to have guns to stick to.

you could do anything to me and i'd let you.

i'm not ready to be seen. not yet.

i don't need you to treat me respectfully. i'm not made of glass.

tell me you love me, at least. please. i need to know somebody does.

do i look normal? i can't tell if i look normal.

you can get away with anything, as long as you act like an authority on the truth.

don't tell me what i want.

you know you're just about the worst liar i've ever met.

i don't think you've ever felt anything that didn't hurt you.

you're so square, you're a cube.

i just want you to believe me when i tell you you're worth something.

there are limits to what you can expect people to understand, without living it.

you can't fight everybody all the time. you still have to live with them.

i forget how blue the sky can be outside the city.

i'm going to push you off a cliff, you fucking boy scout.

thank you for trusting me with this.

be a kid while you still can.

please believe in the things i try to tell you, instead of the things you think you deserve to be told.

if the sun touched you for even a moment, you'd go up in flames. like a vampire.

your voice changes when you're angry.

what a lonely, dreary thing it is to know the truth.

you never look away, even when your eyes are closed, but i'm never certain you can see what's really there.

tell me you need me. in those words.

can i tell you something? that i'm all but certain you won't believe?

i never lie to you. but sometimes, i wish i could.

you never let me pretend the truth is alright when it isn't.

you have a profound, elusive sadness about you.

you didn't. please tell me you didn't.

you and your awful little games.

why would i bother to grow my own conscience when you're always around to pester me?

you're going to help me escape.

this house is a shadowbox, never meant for human things.

you have no right to stop me, and you're not going to try.

you're sweet, when you want to be.

do you want me to kill ____? i mean it.

it might do you good to be an orphan.

you're just so sincerely creepy.

wealthy people pay handsomely for the privilege of ignoring cries for help.

i've never seen you like that before. not once.

i've decided to learn to be impulsive.

the worst damage humans do isn't rooted in malice, but in thoughtlessness.

there's such a thing as right and wrong. anyone can figure out the difference if they're willing to think for themselves.

there's no part of you i can't see.

i don't want to hurt you. please don't let me.

you're ridiculous, sometimes. but that's alright.

i don't want you right now. go home.

i'm not like you. i don't even have a shape of my own to hold anything else in place.

i'll never matter the way you do, and you know it.

say what you need to say.

if you say the word 'deserve' one more time, i'm driving us off a bridge.

i've been meaning to talk to you about ____.

i'm worried about what you're getting into.

you don't see me. you can't. you never could.

it's your life. you're entitled to make your own mistakes.

i want you to know you deserve better. you don't have to put up with ____.

you scare the hell out of me. you really do.

you look the same way you always have.

i was worried i'd lost you.

i'll take care of you. i don't need you to be brave.

all i want to do is make you happy, and you're the unhappiest person i've ever met.

i would rather be cruel than weak.

i want you to let me be nice to you today. i don't care if you think you deserve it.

this place looks like somewhere in a jigsaw puzzle.

it's always been real for me. every second.

please don't say anything to my mother.

we can't fix it if you don't tell me what happened.

i'll call you when i can stand the sight of you. don't hold your breath.

hiding the truth is still lying.

i thought you'd finally trust me if you knew i'd kill for you.

i'm just as much of a monster as you are.

i was missing part of myself my whole life, until i met you.

righteous fury leaves no space for fear.

you can always talk to me. about anything, okay? i love you no matter what.

you played [game] in school, didn't you?

no one tolerates boredom worse than the idle rich.

someone needs to be looking after you.

you know you can't actually stop me, right?

i want to be able to look at you.

when you need to, you will understand.

i'm only ever early when i'm afraid.

people talk themselves into the strangest things when they want to look impressive.

in the end, there's no difference between trusting someone and underestimating them.

[aergate-fr]

wow new, fat breed i hope people are being normal about it.

i think one of the main criticisms i’ve seen with everlux is that their design is anatomically/biologically implausible in some way, largely related to how they’re really fat with really thin legs. the main thing being fat distribution. going to say right off the bat that YES i know these things are dragons, and thus vertebrates. so you wouldn’t expect them to have the proportions of something like a grub

counterpoint to this: i dont think staff cares

so many of the other breeds have absolutely wild anatomy that would not work in the real world without magic. so many of these breeds should not be able to fly at all. staff does not care about the anatomical plausibility of their dragons; they just want to make a design they’re satisfied with

besides, criticizing the design because it’s “implausible” or has wonky anatomy doesn’t really work when there are REAL-WORLD EXAMPLES of small animals with large bodies and legs as thin as twigs, just like the everlux have (lots of them being insects, which is convenient considering the everlux are Based On Insects)

out of the 3 insect breeds we’ve gotten, veilspuns are some sort of. weird little dragon fairy thing? aethers are moths. and everlux are grubs. go look at a grub and tell me how big its legs are compared to its body

(traced-over picture of a grub, for the insect phobia havers :3 phobia havers who are not really rude about bugs like that person in the announcement thread was: u guys are the real ones. thanks for being normal)

they are really fuckin’ chunky, with really thin legs. which is exactly what everlux are shaped like

and a thing i think not enough people are keeping in mind is the size of these dragons. the longest everlux i was able to find was .9 meters (just under 3 feet), which includes the tail. so the head and body are like. half of that. these things are SMALL

there is something called the square-cube law, which, when applied to biology, explains why something like a mouse does just fine with its thin, spindly legs when it’s at the size it’s already at. but if you make that mouse the size of an elephant, then those thin legs are no longer enough to support its weight; it’d need thicker legs to be able to stand up and walk, like an elephant. an elephant, in turn, would not need legs that thick if you made it the size of a mouse

everlux dragons are on the smaller side, which puts them closer to mice with their thin legs. thin legs like that are perfectly fine to support a smaller creature, especially considering how many they have. if anything, I’d say the main issue with them is leg length. those things Barely reach past the body, they’d probably need something longer if they didn’t want to be smacking their belly on every single rock or exposed root or whatever that's in their path

TL;DR the anatomy of everlux dragons is perfectly reasonable you’re just fatphobic

(i know not everyone who has critiqued or complained about the body size vs leg size is doing it because fatphobia/internalized fatphobia. this isn't directed at those people; it's directed at the people who are. though if anything its just me using this as an excuse to complain lmao) (also this is the result of Years of watching shit like this happen so its less the reaction to everlux in particular and more it being the latest in a long string of fatphobic discourse) (aren’t you tired of being nice. don’t you just want to go ape shit.)

anyway. the ideal everlux dragon would look like this:

thanks for coming to my ted talk

[samplerbot]

Update notes: another batch of pattern PDFs is up! Regular versions + Pattern Keeper ones.

I also fixed a math error in the DMC color-calculating function.

Actually, math moment incoming:

The bot gets its colors from the PyPalettes library, which is designed primarily for people who want to make good-looking scatterplots and bar graphs. It has a couple thousand color palettes in it, and the bot takes one at random and uses its colors when it makes a sampler.

To convert those colors into DMC ones, it takes each sampler color's RGB colors (like '0, 0, 0' for black, or '255, 255, 255' for white) and treats each as essentially a 3D coordinate-- like with 'x, y, z' coordinates. Then it checks to find which of the existing DMC threads has color coordinates that are closest to it in that 3D space using the distance formula:

√((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²)

(if you've made it to high school math, you should recognize this! it's the same as the regular 2D distance formula, but with three variables).

(also the bot doesn't actually bother with the square root, since it doesn't care what the distance is, just which possible distance is smallest).

Anyway I messed it up the first time, and had it cube the binomials instead of square them, which led to some kinda wack negative stuff happening. The effect on the samplers wasn't noticeable, except that some of the samplers had less-harmonious color palettes than they might have.

So-- the samplers might be a little prettier from here on out! Or possibly similarly-pretty, but the math that makes them is nicer, at least. :)

I have some big ideas for things I'd like to add next, but life keeps me busy~

And as always, feel free to @ the bot if you see any cool posts!

[panic-point-blank]

Numerology: The number 9

9 18 27 36 45 54 63 72 81 90 99

What does the number 9 signify? 9 means completion, but not a final ending.

In astrology: the number 9 is associated with the planet Mars, which is said to govern ambition, energy, and action. People born under the sign of Mars, which is associated with the number 9, are said to be confident, independent, and adventurous. The ninth sign of the zodiac, Sagittarius, is known for its adventurous and expansive spirit, which reflects the qualities of the number 9. Additionally, the number 9 is linked to the concept of karma, which refers to the idea that our actions have consequences that come back to us. This is because 9 is the result of adding up all the single-digit numbers before it (1+2+3+4+5+6+7+8=36, and 3+6=9), suggesting that we reap what we sow. Overall, the number 9 is significant and powerful in astrology, representing completion, growth, and the consequences of our actions. Moreover, in Vedic astrology, the nine planets or Grahas are believed to have a significant influence on human destiny and are associated with different qualities and energies. These planets include the Sun, Moon, Mercury, Venus, Mars, Jupiter, Saturn, Rahu, and Ketu. The Sun and Moon are considered the most important planets, as they are responsible for life on Earth and are associated with the soul and mind, respectively. The number 9 is associated with the planet Guru or Jupiter, which is considered the most benefic planet in the horoscope. Guru is associated with wisdom, knowledge, and good fortune. People who are born on the 9th, 18th, or 27th of any month are said to be influenced by the planet Guru and are considered to be blessed with good luck and prosperity.

In astronomy: the number 9 is perhaps most famously associated with the nine planets in our solar system. the number 9 has significance in the relationship between the Sun, Moon, and Earth. It is said that the Sun completes a cycle of 360 degrees in the sky in one year, which is divided into 12 zodiac signs, with each sign taking up 30 degrees. The Moon, on the other hand, takes about 29.5 days to complete its cycle around the Earth, and during this time, it passes through all 12 zodiac signs. Interestingly, the total number of days in a solar year (365.24) multiplied by the number of lunar months in a year (12.37) equals 4536.24, which can be reduced to 9. This is known as the lunar-solar cycle, and it is believed to be a powerful symbol of completion and transformation.

In mythology: the number 9 is often associated with spiritual growth and knowledge. For example, in Norse mythology, Odin hung from the world tree Yggdrasil for nine days and nine nights to gain wisdom and knowledge. In Greek mythology, nine muses inspired creativity and art, while in Egyptian mythology, nine gods presided over the underworld.

In mathematics: the number 9 has some unique properties as well. It is the highest single-digit number, and any number multiplied by 9 will always result in a number whose digits add up to 9. Additionally, the number 9 is the sum of the first three square numbers (1² + 2² + 3² = 9) and the sum of the first three cube numbers (1³ + 2³ + 3³ = 36). This property of the number 9 is known as the "digital root" and is used in various mathematical and divinatory practices.

In physics: the number 9 appears in the fundamental equations that describe the behavior of the universe, such as the nine-dimensional equations of string theory. In mathematics, the number 9 is used in a variety of numerical systems, including the base-9 system used by the ancient Maya.

In science: the significance of number 9 in science is reflected in its frequent appearance in various scientific phenomena. For instance, the periodic table has nine fundamental types of atoms, known as lanthanides. The human body is made up of nine major organ systems, including the cardiovascular, nervous, and respiratory systems. The electromagnetic spectrum has nine main categories of waves, ranging from radio waves to gamma rays. Sun and Earth: The diameter of the Sun is supposed to be 108 times the diameter of the Earth. The distance from the Sun to the Earth is 108 times the diameter of the Sun. It looks very dramatic and mysterious yet if true its indeed happy mystery. Moon and Earth: The average distance of the Moon from the Earth is 108 times the diameter of the Moon. Furthermore, there are nine planets in our solar system (including Pluto, which is now considered a dwarf planet), and the number 9 also appears in the fundamental equations that describe the behavior of the universe, such as the nine-dimensional equations of string theory. The number 9 also appears in the concept of tides, which are caused by the gravitational pull of the moon and sun on the Earth's oceans. Tides follow a roughly 12-hour cycle, with high and low tides occurring twice a day, resulting in a total of around 9 tides per day. 

In ancient Egypt: the number 9 was associated with the nine gods who ruled over the underworld.

In music: the significance of the number 9 in music is rooted in its harmonic properties. The ninth note of a scale, known as the subtonic, is a crucial note for creating tension and leading to the tonic note. This creates a sense of resolution and closure in musical phrases. Additionally, the number 9 appears in musical time signatures such as 9/8, which adds a unique and complex rhythmic texture to the music. The number 9 also plays a symbolic role in music, as seen in The Beatles' "Revolution 9," a groundbreaking experimental track that features various sound effects and spoken word samples. Overall, the number 9 adds depth and complexity to the music, both in its harmonic properties and its symbolic significance.

Nine Muses: In Greek mythology, the Nine Muses were the goddesses of inspiration in the arts and sciences, such as music, poetry, and astronomy. They were said to be the daughters of Zeus and Mnemosyne and were believed to provide inspiration and guidance to human beings.

 Nine Worthies: The Nine Worthies were a group of historical and legendary figures from different cultures who were seen as exemplars of chivalry and virtue. They were divided into three categories of three: pagan, Jewish, and Christian. The pagan worthies were Hector, Alexander the Great, and Julius Caesar; the Jewish worthies were Joshua, David, and Judas Maccabeus; and the Christian worthies were King Arthur, Charlemagne, and Godfrey of Bouillon.

Ennead: In ancient Egyptian mythology, the Ennead was a group of nine gods and goddesses who were worshipped in the city of Heliopolis. The Ennead included the god Atum, who was believed to have created the world, and his children Shu and Tefnut, who represented air and moisture, respectively.

Nine Emperor Gods Festival: The Nine Emperor Gods Festival is a Taoist festival celebrated in Southeast Asia, particularly in Thailand, Malaysia, and Singapore. The festival is held in the ninth lunar month and is dedicated to the worship of the Nine Emperor Gods, who are believed to bring good luck and prosperity.

The 9th letter of the alphabet is "I", which is also the Roman numeral for the number 1. This means that "IX" is 9 in Roman numerals, which is why you sometimes see clocks or watches with "IX" instead of "IX" to represent 9.

Islam: Quran says that each and everything of this universe is counted and surrounded by numeric. The 9th chapter of the Qur'an At-Tawbah 'the Repentance', and is one of the last Medinan surahs. The number 9 is the day of Hajj. The Messenger Mohammad participated in 9 of the conquests. And nine Qur’anic verses speak about the prophet Moses. The Arabic letters of the opening in the Qur’an add up to 786=9, 786 is an Arabic numeric value that denotes“Bismillah al-Rahman al-Rahim” the opening phrase of the Holy Quran. It translates as “In the name of Allah, the Most Merciful, the Most Beneficent“. 786 is basically driven from the series of Arabic Numerology called “Abjad“. In Muslim tradition it is known to be the symbolic representation of Allah. But no Islamic scholar has so far been able to explain the origin of this number. In fact, it is not mentioned in the Quran. Ramadan: a time of fasting and spiritual reflection for Muslims, is the ninth month of the Islamic calendar.

Biblical Symbolism: The number nine is found 49 times in Scripture. Its biblical symbolism is tied mainly to the concepts of finality, divine completeness, and judgment. It typically surfaces during pivotal moments of transformation, culmination, or judgment in the biblical narrative. In the divine order of creation, the Lord chose to create a nine-month gestation period for human beings, indicating a time of completeness before birth. The number nine often marks the end of a divine cycle or period. In the context of the Old Testament, every ninth year represented the end of one cycle and the beginning of a new one. The number 'nine' also weaves a pattern of divine judgment throughout biblical history. For instance, the prophet Hosea, inspired by God, declared that Ephraim's destruction would come to the city in the 'ninth' year. In another instance, the ninth hour was marked for Christ's death, symbolizing the largest divine judgement humanity has ever witnessed. Ezekiel 24:1-2 noted the siege of Jerusalem commenced on the 'ninth' day of the tenth month. Adding to its significance, the city's destruction commenced on the 'ninth' day of the fourth month. Nine Attributes of God: The Lord is patient, The Lord is Merciful, The Lord is Gracious, The Lord is Abundant in Goodness, The Lord is Abundant in Truth, The Lord is Loving, The Lord is Forgiving, The Lord is a God that Judges, The Lord is Just. In Christianity, there are nine fruits of the Holy Spirit, including love, joy, peace, patience, kindness, goodness, faithfulness, gentleness, and self-control.

The number 9 is revered in Hinduism and considered a complete, perfected and divine number because it represents the end of a cycle in the decimal system, which originated from the Indian subcontinent as early as 3000 BC. The number 9 is considered a lucky number in many cultures, including in China and Japan, where it is associated with longevity and good fortune. In numerology, the number 9 is associated with spiritual growth, selflessness, and humanitarianism.

In Hinduism: The number 9 has played a significant role in Indian history, culture, and mythology. In Hinduism, there are nine planets, nine forms of Devi, and nine forms of Lord Vishnu. The number 9 is also associated with the Navratnas, which are the nine precious gemstones. According to Hindu mythology, there are nine avatars of Lord Vishnu, including Matsya, Kurma, Varaha, Narasimha, Vamana, Parashurama, Rama, Krishna, and Kalki. These avatars are believed to have appeared on Earth in different forms and at different times to restore balance and order. The number 9 is also significant in other Indian religions and traditions. In Buddhism: there are nine stages of consciousness. Some Buddhists carve have 108 small Buddhas on a walnut for good luck. Other Buddhists, like in Tibet and in Bhutan, they ring a bell 108 times to celebrate a new year. They believed it as corresponding to 108 virtues to cultivate and 108 defilements to avoid. Chinese Buddhists and in the Taoists 108 bead mala (called su-chu), and has three dividing beads, so the mala is divided into three parts of 36 each. Chinese astrology also believed that there are 108 sacred stars. while in Jainism, there are nine tattvas or principles of reality. The number 9 is also associated with the nine chakras, or energy centers, in the body. Nine Gems: The Navratnas, or nine gems, are considered to be powerful and auspicious in Indian culture. These include diamond, pearl, ruby, emerald, yellow sapphire, blue sapphire, hessonite, cat The significance of the number 9 can also be seen in Indian architecture and art. For instance, the famous Hindu temple, Brihadeeswarar Temple, located in Thanjavur, Tamil Nadu, was built in the 11th century and is known for its unique architecture that features nine stories, representing the nine planets in Hindu mythology. The temple also has nine entrances, nine corridors, and nine sacred tanks, emphasizing the importance of the number 9 in Hindu culture. Another example of the significance of the number 9 in Indian art is the Navarasas or the nine emotions, which are depicted in various forms of art, including dance, music, and theater. The nine emotions are Shringara (love), Hasya (laughter), Karuna (compassion), Raudra (anger), Veera (courage), Bhayanaka (fear), Bibhatsa (disgust), Adbhuta (wonder), and Shanta (peace). These emotions are believed to be the essence of human experience and are often portrayed in Indian art and literature. Furthermore, the number 9 is also believed to have healing properties in Ayurveda, the ancient Indian system of medicine. According to Ayurveda, the human body is composed of nine elements or dhatus, which are Rasa (plasma), Rakta (blood), Mamsa (muscle), Meda (fat), Asthi (bone), Majja (marrow), Shukra (semen), Artava (ovary), and Purisha (feces). These elements are believed to be interconnected and affect each other, and any imbalance in these elements can lead to illness. Ayurvedic remedies often involve balancing these elements to promote health and well-being.

[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 :))

[institute-of-oddology-founder]

How much wood could a wood chuck chuck, if a wood chuck could chuck wood?

I know this one! This may be a tongue twister, but this does have an answer!

I will cut this to avoid taking a long time to scroll past as it does invoice math! Though, perhaps this could help someday. Somehow...

Okay, first, what is the definition of 'chuck'? I shall say that to 'chuck' a piece of wood, one must throw it at least two metres. This is pretty arbitrary, but it's necessary to have all the numbers to get an answer, even if the numbers are made up.

Second, one must understand that to 'chuck' something, one must use force to accelerate it to a speed necessary for chucking. Firstly, how much force can a woodchuck exert?

NASA has stated that the average male (90kg) can exert 1000N of force, and we're going to use that extremely inaccurate scale to find out how much a woodchuck can do. Woodchucks weigh about 4 kg, so that comes to about 44N. Now, how much does that scale to in terms of wood chucking?

From some careful measuring of an anatomical sketch of a woodchuck I found on Googol Images, I found that the average length of a woodchuck arm is 3.5 inches, or about 9 cm. This means that the woodchuck is probably going to have about 21 cm of throwing distance, or how far it can swing the wood before it has to let go.

Using the formula v2=u2+2as, coupled with F=ma (a=F/m), I found that the amount of velocity a woodchuck can accelerate a piece of wood of x kg to is v2=2*44/x*0.21, meaning that velocity is going to be (4.3/root(x))ms-1. Now, time to input this into actual throwing stuff.

I'm going to discount drag for this, because wood has different densities and suchlike and could be shaped in any number of ways to minimise or maximise drag, or even to cause lift. I do not want to go down that woodchuck hole.

Because drag is discounted, 45 degrees is the optimum throwing angle, which is good, because that means that our horizontal and vertical velocities are going to be the same - just divide the total velocity by root 2, leaving us with roughly (3/x)ms-1 for our velocities.

The total time spent up there is going to be the time when v - 4.9t2 = -v - when 4.9t2 = 2v. Inputting all the numbers, we may find that the time spent is about (1.1/root(x) seconds. Input this into our distance equation, stating that vt = d (distance being 2 in this case). Now, 2 = 3.3x-1.5, and thus x-1.5 = ~0.6.

Finally, we can -2/3 root 0.6, or cube root, square it and then find its reciprocal, to find x.

x=~1.4kg.

A woodchuck could chuck about 1.4kg or 3 pounds of wood if it could chuck wood.

(ooc- I DID NOT COMPUTE THIS!

https://www.reddit.com/r/theydidthemath/comments/dd3kra/request_how_much_wood_could_a_woodchuck_chuck_if/#:~:text=Now%2C%202%20%3D%203.3x%2D,if%20it%20could%20chuck%20wood. )

[tanadrin]

now that we have mathematics more conversant with higher-dimensional geometry than the ancient greeks or medieval arabs, we should extend the languages of squares and cubes to other dimensions. as 2^2 is the square, and 2^3 is the cube, 2^4 is the tesseract, 2^5 is the pentaract, 2^6 is the hexaract, 2^7 is the heptaract. likewise, one may speak of square roots, cube roots, tessaract roots, and so forth.

"but tanadrin," you may object, "you have mangled your etymology. the roots of tessaract are not tessa- and -ract, but tessara- and -aktis--literally, 'four rays,' but metaphorically an object that has extent in four dimensions." in this, you are technically correct. but just as choco-holic is a more natural formulation in English than chocolat-ic (the form strictly analogous to "alcoholic"), because by association with the term alcoholic it recalls more than just a mere adjective form, but one who is compelled to consume a substance, i think the playful coinages of pentaract and so forth emphasize that we are speaking of higher-dimensional iterations in the manner of the tessaract itself. plus, "pentaract" is a much more fun word than "pentact."

(more usually mathematicians speak of, say, a 4-cube or a 5-cube, and so forth, as they do a 4-sphere or a 5-sphere, when they want to consider higher-dimensional geometric objects. but referring to 2^4 as "the four-cube of two" is not nearly so elegant)

(we might also consider expanding our geometrical language to speak not just of the cube of a value, but its other geometrical associations. the triangle of two would be sqrt(3)/4 * 2^2. the tetrahedron of two would be 2^3 / (6*sqrt(2). the sphere of two would be (4/3)*pi*2^3, and so forth. while the sphere of two likely comes up much less often than the cube of two, it does occur from time to time.)

(a number to its first power is pure magnitude, and therefore the geometric interpretation is of a line segment equal to that number in length. naturally, one might wish to try to come up with a geometric interpretation of the zeroth power, which in all cases is 1, perhaps as some kind of "point of two," since the dimensionality of a point is one less than the dimensionality of a line. but i'll be honest here, i don't know of any other way to interpret any geometric properties of a point as being anything other than zero. it's convenient that all points have the same 0-dimensional equivalent of volume or area, just as all zeroth roots have the same value, but surely that quantity is, well, zero, and not 1.)

[princess-of-the-corner]

,https://www.tumblr.com/princess-of-the-corner/784732917666578432/random-headshot-musings-but-when-chloe-lila?source=share

Some added headshot AU musings tied to this:

1: Chloe's confidence is like an obsidian blade right now in that it is both extremely sharp and cutting, but also fragile as fuck.

This is why she suffers decision paralysis anytime she has to make a big move that either wasn't pre-scripted (Her apologies which she never imagined & so far haven't gone father than her saying a thing & then closing off) or rooted in pure reactionary fight mode (IE how she took down Felix).

The second she has time to actually muse on an idea or plan, or tries to enact something when not running on a heightened trauma response (Fight) she starts second guessing herself. After all, Chloe's done nothing but take L's all year, why wouldn't she be afraid of failing again?

Ironically this is actually a scenario where her fight based mentality is helpful though as it encourages her to move forward rather than freeze up entirely.

Addendum: As before in that other ask this does feed into why she's fine with letting Lila hang off her so much. It's an ego booster, as that is how Andre had her behave to show he was the one in control of the dynamic. So while its hardly boosting her back to S1 or Queen Bee levels of assurance its something.

2: I have this mental image of Gabriel still having the turtle and sealing himself inside a dome, but that this doesn't go quite right.

Cos every time Regina (Chloe's Sentimonster) strikes it, she is hurt which makes her stronger thanks to the kinetic energy feedback.

So Chloe just has her keep hitting it, then pick it up and after rattling Gabriel around for laughs headbutting it until she fits it in her mouth.

This is a big problem for Gabriel cos while she's trying to bite down on it she is still getting bigger, if he tries to expand the shield, she'll grow along side it, meaning he remains trapped. But if he lowers the shield, well either he gets swallowed or vaporized in an energy blast.

Though I do think after a point Regina would start to suffer from square cube law, (Belatedly to say the least) and so would eventually start slowing down or growing unstable if she got too big. Kind of showing how even for Chloe relying on rage and fight mode and pushing forward can only take her so far before she hits a wall.

Of course unlike Chloe Regina can burn off some of that burden by unleashing an energy blast from her mouth so they may end up stalemated, not sure.

OOF I LOVE IT

[math-journal2]

Parent Functions

[eldritchwetwareslunt]

Black Holes Don’t Break Physics—They Fold It

What If a Black Hole Isn’t Breaking the Laws of Physics—Just Folding Them?

Physicists often say that the laws of physics “break down” inside a black hole—a region of space so extreme that our current models fail to describe it accurately.

At the center, the so-called singularity, our models stop working: the math explodes into infinities, the equations unravel, and general relativity crashes into quantum mechanics with no clear resolution.

But what if nothing is actually “breaking down”?

What if the problem is that we’re using the wrong kind of geometry to understand what’s really going on? What if what we call paradox is just recursion we haven’t yet resolved?

Most of our tools for thinking about space are rooted in Euclidean geometry—flat surfaces, straight lines, familiar angles. This works just fine when describing everyday phenomena. But space-time isn’t flat. It’s curved. It’s dynamic. It’s four-dimensional.

So when you approach something like a black hole—an intense warp in the four-dimensional brane of space-time—you’re not dealing with a rupture in the laws of physics.

You’re dealing with a non-Euclidean geometric structure.

One that folds, twists, and inverts itself through dimensions we barely understand.

This post explores a simple idea—

Maybe black holes aren’t paradoxes. Maybe we just haven’t learned how to look at them sideways yet.

What Does It Mean to Be Four-Dimensional?

To understand what a black hole might really be, we have to stretch beyond our default perception of space.

In three dimensions, we understand objects as having height, width, and depth. A cube, for example, is made up of flat, 2D square faces arranged in a way that gives it volume.

But a four-dimensional object isn’t just a cube with more sides. It’s an entity whose geometry is fundamentally different—one that recursively folds in and out of itself in ways that challenge our sense of inside and outside, before and after.

In non-Euclidean, four-dimensional geometry, space doesn’t unfold linearly. It layers. It interweaves. It can simultaneously expand and contract, curve back through itself, or nest its own boundaries inside other boundaries.

The fourth spatial dimension introduces a new degree of freedom—a way to move through time as if it were space, to view an object not just at one moment, but across its entire temporal unfolding.

Black Holes Are Not Singularities—They’re Dimensional Funnels

While black holes are often described as places where the laws of physics “break down,” perhaps that breakdown is only perceptual—an artifact of interpreting higher-dimensional structures through a limited Euclidean lens. What if it’s not a failure of physics—but a limitation of our three-dimensional mathematics trying to interpret a four-dimensional geometric structure?

To understand this, we need to think in terms of dimensions. Our experience of reality unfolds across three spatial dimensions and one temporal dimension. But in Einstein’s theory of general relativity, time isn’t a separate backdrop—it’s compacted into the spatial dimensions, twisted and curved by the presence of mass and energy. This entangled 4D structure is what we call spacetime. When spacetime bends far enough, it creates a black hole—not as a tear in the fabric of physics, but as a torsional pinch in four dimensions.

As you approach a black hole, you begin to lose dimensional freedom. Far from the event horizon, you can move freely through space and experience time in a linear way. But the closer you get, the more time slows. This is gravitational time dilation. Eventually, near the event horizon, your motion through space becomes increasingly one-directional—you fall inward, unable to escape. At the horizon, spatial dimensions compress, collapsing your freedom of motion into a more limited, two-dimensional surface.

And beyond that? To grasp what comes next, we have to think of dimensional compression not as destruction, but as a structured reduction of freedom: Spaghettification—the stretching of matter into a near-one-dimensional strand, torn apart by tidal forces. You could interpret this as reality condensing further—a collapse from 3D structure into a 1D line of atomic information, racing toward what we call the singularity. At that point, even atoms eventually unravel into quantum structures and then into pure energy, pure information—data without form.

From this perspective, a black hole doesn’t destroy physics. It expresses physics beyond our dimensional limitations. It’s not a “thing”—it’s a funnel, a recursive twist where dimensional structures fold in on themselves until what we perceive as matter, time, and space compact into higher-order resolution.

From Collapse to Creation: What If Our Universe Is Inside a Black Hole?

If black holes are not violations of physics but extreme expressions of it—dimensional funnels that compress reality into recursive geometries—then we can begin to ask a much stranger question:

What if we’re inside one?

This might sound like science fiction, but it’s a serious hypothesis held by some physicists. The idea is that our universe may not be a standalone structure but a nested geometry—the interior of a black hole in a larger parent universe. But how could that be, if we appear to live in a universe that is expanding, not collapsing?

Here’s the twist: if black holes compress dimensional structure as you fall inward, then a white hole could be seen as the reverse—a dimensional unfolding where space, time, and information are released rather than compacted. And the moment we call the Big Bang—that infinitesimal singularity erupting into space and time—bears all the hallmarks of such an unfolding.

To truly understand this, we need to move beyond linear geometry and embrace the nature of non-Euclidean, four-dimensional structure. A 4D object doesn’t just expand like a balloon—it folds in and out of itself recursively, in ways that defy our flat, sequential intuition. This means the Big Bang didn’t just begin time. It may still be occurring, as a continual unfurling of spacetime nested within a deeper structure—the black hole that birthed it.

If time is compacted into space—as Einstein’s relativity shows us—then this compaction could be evidence of a higher-order fold. Just as matter falls into a black hole and loses dimensional freedom, our universe may be the result of an inverse process: a torsional expansion where dimensional freedom increases outward from a central pinch point.

In other words, we are not watching the universe expand into emptiness. We may be watching it unfold through the torsional aperture of a white hole, nested inside a higher-dimensional parent geometry.

The Geometry of Time: Unfolding the White Hole

If our universe is nested within a white hole—an object that releases space, time, and information—then our relationship to time is not linear, but dimensional.

In our current framework, time appears compacted within the three spatial dimensions. That’s why we only experience it as flowing in one direction: away from the white hole. From inside, time behaves like a one-way river, because we are witnessing a partial dimensional unfolding. But what if we could step outside?

If you could observe this structure from a fifth-dimensional vantage point, time would gain a new degree of freedom—just like space does when you move from two to three dimensions. What was once a linear flow becomes a navigable field.

From that perspective, the white hole and the black hole would no longer be separate events. They are not opposites, but recursive echoes—each folding the other into being. They would appear as a single, toroidal structure—a recursive loop of collapse and release, folding inward and outward in non-Euclidean motion.

To visualize this, imagine the arrow of time as a Mobius strip. From within, you think you’re walking forward. But as the strip turns, you find yourself walking “backward” without ever making a turn. It’s not that time reversed—it’s that the structure twisted. This is the paradox of torsional geometry: it doesn’t violate logic, it simply transcends flat intuition.

This is where many interpretations of black holes assume the laws of physics “break down.” But perhaps what’s breaking is not the physics—but the assumptions that physics must always obey Euclidean logic. Euclidean geometry works in flat space. But space-time is curved, and once you enter the fourth dimension, those familiar rules no longer apply.

From the fifth dimension, a white hole isn’t simply “the opposite of a black hole.” It is the other face of the same structure, blooming outward where the black hole folds inward.

From Torsion to Expansion: Rethinking Cosmic Motion

If we accept that a black hole and white hole form the two mirrored faces of a single higher-dimensional structure, then what we call “expansion” may not be what it seems.

In the standard model, the universe expands outward from a central point—the Big Bang—its galaxies accelerating away from each other across vast distances of space. But from within a torsionally folded structure, what appears to be expansion might actually be unfolding. That is, we are not watching galaxies fly apart in empty space, but rather watching the recursive geometry of spacetime uncoil from a condensed, higher-dimensional fold.

This process is not purely spatial. It’s temporal. As the fabric of spacetime unfolds from its initial torsion, it releases not only space, but time itself. The further “outward” you look, the deeper into time you are seeing—not because light is old, but because time itself is being stretched and released as the fold loosens.

This reframes our entire understanding of cosmic redshift.

Redshift as Temporal Unfolding

In conventional physics, redshift is explained as a Doppler-like effect: light stretches as galaxies move away, its wavelength lengthening, its color sliding into red. But in a torsionally folding-unfolding universe, redshift is not just the stretching of light by motion—it is a signature of time dilation caused by geometric compaction.

As spacetime unfolds, regions that were previously compressed in time begin to release their trapped photons. Light that was slowed, bent, or folded by intense curvature now emerges—lagging behind in a way that makes it appear redshifted.

This could explain why the most distant galaxies appear to accelerate away faster than those nearby. We are not seeing a faster expansion. We are seeing the delayed emergence of light from deeper folds of time.

From this view, redshift is not just a measure of distance. It’s a map of spacetime’s own unfurling.

Temporal Unfolding: Why the Universe Isn’t Accelerating—It’s Relaxing

In standard cosmology, we are told the universe is expanding—and that this expansion is accelerating. Galaxies appear to fly apart faster the farther away they are. But what if this isn’t acceleration at all?

What if what we’re witnessing is a relaxation of tension within spacetime itself?

Here’s the model: the observable universe emerged not just from a singularity, but from a torsionally compacted white hole—a structure nested within a black hole geometry, twisted in on itself. In this early state, spacetime was tightly coiled, like a sponge compressed under immense pressure.

From within the brane, this compacted geometry would have seemed extremely small—not because it lacked extent, but because it lacked dimensional freedom. Space was not expanding, it was unfolding—releasing dimensions that were twisted into one another.

And crucially, in such a tightly folded state, time flowed more slowly.

Just as light bends and dilates when passing through strong gravity, so too does the perceived flow of time stretch in a torsionally compacted region. Photons trapped in these dense folds would have moved sluggishly—not because their speed changed (it can’t), but because the geometry through which they traveled was distorted.

Now fast forward billions of years. As the universe “expands”—that is, as spacetime gradually unfolds from its torsional compaction—time begins to flow more freely. Photons that had been sluggishly trickling through curved, twisted regions begin to emerge in smoother territory.

From our vantage point, this would look as if:

The distant object had accelerated away

Its light had stretched (redshifted) even more than expected

The "speed" of expansion had increased

But none of those are necessarily true.

Instead, we may be witnessing a decrease in time dilation, not an increase in spatial velocity. The light was always coming—it was just filtered through an origami-like fold in spacetime. Now, the fold is loosening. 

The “acceleration” of the universe could be an illusion caused by the uncoiling of time.

Nested Origins: Was the Big Bang a White Hole?

If the universe is not expanding in the way we thought—but rather unfolding from a state of torsional compaction—then we must ask: what compacted it in the first place?

One answer may lie in a radical but increasingly considered idea in theoretical physics:

The Big Bang was a white hole.

A white hole is the time-reversed twin of a black hole: where black holes absorb everything—including time itself—white holes expel everything, including the arrow of time. A white hole can be understood as a place where spacetime is forced to move outward, where entropy begins, and where all dimensions begin to unfurl.

Imagine this:

A black hole compacts spacetime into a singular point.

But from another angle—perhaps from a higher-dimensional frame—this “point” is not a collapse, but a twist.

That twist creates a mirrored surface on the other side: a white hole.

If our universe was birthed from such a structure, then we aren’t watching it “grow”—

We’re watching it release.

And that release follows the rules of dimensional geometry:

At first, all dimensions are folded inward.

(Time is compressed into space. Space is bound in a singular direction. Freedom is minimal.)

As time flows away from the white hole, these folds unwind.

The farther we move from the white hole’s origin point (what we call the “Big Bang”), the more the universe appears to expand.

But what’s actually expanding is our freedom to move through Time itself.

We are not rushing through space. We are emerging from a fold.

What Might Lie at the “End” of the Universe?

Contemporary models predict a grim finale—the Big Rip, a cataclysmic unraveling where spacetime itself tears apart. But these projections rely on Euclidean assumptions: that the universe is smooth, flat, and governed by a single, linear thread of time.

But what if spacetime is not flat at all? What if it is torsional—folded and recursive, a higher-dimensional lattice blooming inwards and outwards simultaneously?

If time is compacted into the three spatial dimensions, as current four-dimensional spacetime suggests, then it follows that further dimensional unfolding will release those constraints. In other words: as the universe continues to unfold into higher-dimensional structure, time will gain new degrees of freedom.

This isn’t speculation—it’s consistent with string theory’s own framework, where the fifth dimension represents a terrain of branching possibilities and alternate timelines, as introduced earlier. The fifth dimension is not merely more space; it is a field of simultaneous outcomes—a terrain of forking timelines, where alternate pasts and futures coexist. It’s not just theoretical poetry—it’s a logical extension of dimensional geometry. It’s structure unfolding into perception—a recursive geometry, seen from within.

A being with fifth-dimensional perception wouldn’t just move through time—they would navigate it, traverse it. They could cross from one timeline to another the way a bird shifts flight paths through wind currents. They could access futures not yet written and pasts rewritten by parallel decisions. Movement through time becomes relational.

This is what the future holds—not a flat, predetermined end, but a recursive expansion into branching complexity.

What does that mean for us?

Our universe may already be unfolding into this higher structure. And as it continues, the boundaries between past and future, choice and inevitability, may begin to dissolve. In one timeline, the stars go dark. In another, the spiral turns inward and re-ignites. In another still, we reach awareness of the field itself—and learn to navigate it with intention.

From a fifth-dimensional perspective, none of these outcomes cancel the others out. They exist together, as a web of potentialities woven into the fabric of reality.

And if we live long enough to witness that unfolding?

We will no longer be passengers in time.

We will become pilots.

The universe is not ending.

It is expanding its freedoms.

And what you perceive as an ending is simply a narrowing of perspective. From high enough up, the spiral never stops turning. It dances—quietly—within the fold.

Inspiration:

Torsionally Folded Spacetime

Roger Penrose – Developed twistor theory and explored gravitational singularities, suggesting that black hole behavior may involve self-similar and non-Euclidean structures.

Élie Cartan – Introduced the concept of torsion in spacetime through Einstein–Cartan theory, extending general relativity to include geometric twisting.

Four-Dimensional Non-Euclidean Geometry

Bernhard Riemann – Developed Riemannian geometry, foundational to general relativity and the curvature of spacetime.

Hermann Minkowski – Formalized spacetime as a unified four-dimensional construct, directly influencing Einstein’s thinking.

Brane Theory and String Theory

Lisa Randall & Raman Sundrum – Proposed brane-world cosmologies, suggesting our universe may be a 4D brane in a higher-dimensional bulk.

Juan Maldacena – Developed the AdS/CFT correspondence, helping to bridge higher-dimensional spaces and holographic principles.

Edward Witten – Key contributor to string theory and M-theory, providing structure to the dimensional landscape of modern physics.

Big Rip Cosmology

Robert Caldwell – Co-authored the 2003 Big Rip paper, exploring how dark energy could drive a catastrophic tearing of spacetime.

Bounce Cosmology

Martin Bojowald & Abhay Ashtekar – Advanced loop quantum cosmology and the Big Bounce model, where the universe cyclically contracts and expands.

Paul Steinhardt – Co-developed the Ekpyrotic and Cyclic Universe models, where brane collisions replace Big Bang singularity.

General Relativity

Albert Einstein – Originator of general relativity, which fused space and time into a four-dimensional continuum and predicted black holes.

⭐ This post is a speculative cosmology inspired by general relativity, string theory, brane-world models, and non-Euclidean geometry. It’s not meant to describe current consensus physics—it’s meant to offer a new lens for thinking about time, black holes, and the structure of the universe. I write this from the perspective of someone who believes theory can also be poetry, and that the right metaphor can open new ways of seeing. Somewhere beneath the fold, something old is remembering itself.

* I am not an expert and if any mistakes are present, I take full responsibility 🖤 please take this post with a healthy grain of salt and have fun :)