#geometry math

[er-cryptid]

Intersections

Patreon

[violetfractal]

A circle inscribed in a square covers 79% of the square.

A ball inscribed in a cube fills 52% of the cube.

A 4-ball inscribed in a hypercube fills 31% of the hypercube.

A 5-ball inscribed in a 5-cube fills 16% of the 5-cube.

⋮

A 9-ball inscribed in a 9-cube fills it up less than 1% of the way, yet there’s no room to fit a second ball of the same size without intersecting the first.

⋮

In dimensions 23 and up, you can fit a little cube in the corner of the diagram, such that the cube has a larger volume than the ball!

That's especially disconcerting because the 23-cube has 8,388,608 corners. Even if you inscribe the little red cubes in all eight million corners, your big cube will still be 99.5% empty space.

[charlesoberonn]

Does Tumblr know about the travesty that is the optimal (as far as we know) configuration to pack 17 squares in a larger square?

[szimmetria-airtemmizs]

Now with rotations.

I made a gif not long ago (see below). Many of you expressed that it was "deeply uncomfortable" and "upsetting". I hope this new one will calm your feelings.

[pate-geo-enthusiast]

[xponentialdesign]

On my 37th birthday, I made a tool to trace orbital paths Realized later the source file was gone But a mistake saved me from the loss I had imported it into another project by accident That one was archived and I found it today So I'll play with it a little bit more DIGITAL ARCHIVE

[necromimetics]

This has caused great debate among my math friends so I think it needs tumblr's input

[389]

[cyfffff]

you’d think since dick was a mathlete hed b the number one guy to ask for help w math homework but actually he knows so much advanced math that the first time tim asked him for help with a simple geometry problem he pulled out his dusty ti-84 and started solving it in the most convoluted way that took an hour bc he was also just trying to relearn the math he hadn’t done in like 5 years. cue him screaming in frustration when he realized the actual way to do it would’ve taken him 2 minutes (tim asked him at the beginning if that way was right and he waved him off saying no) none of the batsibs can ask him for math help until they get to pre-calculus at least

[amalifox]

TSC is slowly going crazy

[cosmetichorror]

Lu au where everyone is the age of their game

Wild is 7

Warriors is 10

Sky is 13

Twilight is 18

Four is 20

Wind is 22

Time is 26

Legend is 33

Hyrule is 37

Warriors and Wild are LITERALLY child soldiers, Sky is in middle school (and is more than happy to travel as it means he has less homework to do…)

Twilight is a fresh adult and doesn’t know what he’s doing with his life

Four is still as short as he is in the comic. Also much to Sky’s dismay Four basically becomes his teacher so he doesn’t fall behind in his studies.

Wind finally can legally drink…. He’s the wine aunt. He’s a nut case. The kids love him. He and Time were babysitting Warriors during the WAR and they’re both still mad they put a like, 9 year old into a war.

Time is freshly married…. He’s as bad (if not worse) then Sky ever could be when it comes to being lovey dovey.

Legend is mad he has to go on another adventure after he’s been comfortably retired for a decade. He becomes the new old man, despite Rulie being older…. And btw Hyrule is still his little brother.

Hyrule is aging wonderfully much to everyone’s surprise. He looks 25. He still can’t read btw but he has mastered life in the wilderness. He is like a mountain lion, he can hide behind anything and sneak anywhere now. Give him a leaf and he’ll find a way to hide behind it and you’ll never see him….

They would’ve never found Hyrule if they didn’t have Warriors and Wild with them, and even then them finding Hyrule was more so Hyrule allowing them to find him so he could check on the kids.

[garbagechocolate]

What is the center and radius of the circle indicated by the equation?

(x−2)2+y2=36

-Cousin Throkmorton Anon

[david-lanndlord]

I love math Wikipedia so much...like, who said this. Who attributed a "cold and austere beauty" to the compound of five cubes. i want to knowwwww

[peitalo]

something something the rule for an isosceles triangle is that it must have two sides of equal length

[arewebeholdingaman]

A right triangle (the two sides that aren’t the hypotenuse are called legs)

✅️ featherless

✅️ biped

You win again, maths! But I'll be back, and then you'll see. You'll all see...

[secondwheel]

Indeed it does