#math cube

[daily-cubes]

math cube

[knotty-et-al]

Visualization of the Rubik's cube

[xxplastic-cubexx]

Rummaging around my house and i got jumpscared

[i-research-so-you-dont-have-to]

On Four Dimensional Space

While many people think that H.G. Well's time machine was a good representation of something that could move through a fourth dimension, there is a better example: A shrink ray/growth ray.

(Explanation under the cut)

Have you ever seen this shape?

It's often called a 4-D cube, otherwise known as a tesseract, and for the longest time, I didn't understand how a cube inside a cube equaled another dimension. But I finally realized, the cube that appears smaller is actually the outside.

Let me explain. But first, I want you to imagine that you are a 2-D entity. You want to know how a square could possibly have three dimensions. You picture a square, and it looks like this:

Now, as a three dimensional being, we know that in order to make it a cube, each square is extended outward along the square by the length of one side. The problem with that is in 2-D space, you cannot have a cube. But conceptually speaking, we are aware that a cube is simply a square face that has been stretched out by the same amount as the length of one side. Altogether, it looks like this:

So, I want you to try something. Picture a square. It is 4x4. Now, without rotating it in your mind, think about that square becoming a cube. In order to do that, you either push it back by 4 squares, or bring it forward by 4 squares. The back of the cube appears to be smaller, right?

It's the same thing with going to 4-D from 3-D. For us, if you had a 4-D box with one open face, it would seem like space itself was folded into the box. So if you had a 4x4x4x4 inch box, it would appear as a 4x4x4 inch box, but it would be able to hold the same amount of items as a box with a volume of 256 inches. Each cube would have a total of 4 cubes occupying what would appear in our dimension to be the same space, but in a fourth dimension, it would be expanded out.

Now, imagine you have a paper circle and a box. You are looking down into the box, and you are holding the circle towards the top of the box. As you move the circle closer to the bottom of the box, it appears to get smaller because it is further away. In 2D space, the circle is actually smaller because it cannot exist as further away in that direction, The same thing would happen as you moved something through 4-D space. If you took a marble and pushed it away from yourself, it would appear to get smaller, as it would be farther away. To bring an object in a fourth dimension closer, it would appear bigger, as it would be closer. The difference is, since we cannot perceive or interact with the 4th dimension the way we can with the second or third dimension, it would genuinely be bigger or smaller for us.

A good way to demonstrate this was illustrated by Charles Hinton.

"from the perspective of the two-dimensional being, a three- dimensional sphere pushed through a two-dimensional plane would appear as a point when the sphere touched the plane, grow into a circle with the same radius as the sphere, then shrink back into a point."

The same would happen with a 4-D object in 3-D space. A sphere would begin at its smallest possible size and grow to its largest size, then shrink back down to nothing. Thus, if a 3-D object were pushed through 4-D space, the same thing would happen from the perspective of the 3-D space: If it were to be moved 'closer', it would be bigger, and if it were to be moved 'away', it would be smaller.

Sites:

https://analyticphysics.com/Higher%20Dimensions/The%20Visual%20Appearance%20of%20Higher-Dimensional%20Objects.htm

TL;DR: a shrink ray is the closest thing humans have imagined to a device that can move through the 4th dimension

[powerup-the-revolution]

lady at the autism assessment test: can you tell me what the kangaroo's pouch is for?

me, tumblr brained: kangaroo pouch is to put baby in it. put baby in pouch very safe

[jublubdubs-cone]

Here are some 3D models of my OCs. Each one of them is based on a platonic solid (except for Sphere), and in the lore they all work in the same math research center!

[thesealantern]

Been trying to (once again) figure out my Jsab au designs so here’s Cube way before he became a guardian

Mostly I just changed his attire, since this makes more sense for him as day to day attire but the more “sciency” fit or some variation of it will probably still show up? Honestly he’s the design that’ll change the least so here he is, I’m pretty happy with this but I’ll see if I have to simply it in the future :3

Story and personality wise I don’t want to spoil much but not much changes for him.

I already have ideas so expect a guardian outfit for him soon :D 👍

[gridgamesgalore]

" I hate math !! "

yeah I understand your point of view /gen but im going to take a step back and present THE DOZENAL SQUARES UP TO GRO ♥︎♥︎

1 4 9 14 21 30 41 54 69 84 X1 100 121 144 169 194 201 230 261 294 309 344 381 400 441 484 509 554 5X1 630 681 714 769 804 861 900 961 X04 X69 E14 E81 1030 10X1 1154 1209 1284 1341 1400 1481 1544 1609 1694 1761 1830 1901 1994 1X69 1E44 2021 2100 21X1 2284 2369 2454 2541 2630 2721 2814 2909 2X04 2E01 3000 3101 3204 3309 3414 3521 3630 3741 3854 3969 3X84 3EX1 4100 4221 4344 4469 4594 4701 4830 4961 4X94 5009 5144 5281 5400 5541 5684 5809 5954 5XX1 6030 6181 6314 6469 6604 6761 6900 6X61 7004 7169 7314 7481 7630 77X1 7954 7E09 8084 8221 8400 8581 8744 8909 8X94 9061 9230 9401 9594 9769 9944 9E21 X100 X2X1 X484 X668 X854 XX41 E030 E221 E414 E609 E804 EX01 10000

[spiral0utt]

I reaaaaaally really want math related trinkets all over my house but idk where to find them in my country :((( when u search only results of games for children pop up

[com---z]

Dirceu, from A Caverna dos Tesouros, a story that I'm developing, he may look silly right now, but he's not, it's just that he really likes paddling pools and magic cubes

❌DO NOT FEED AI WITH IT❌

❌ DON'T STEAL OR REPOST IT❌

[knotty-et-al]

Drawing a truncated cube and a cuboctahedron from a cube....

As for understanding truncation: You can imagine having a cheese cube and just cutting of the vertices...

- - -- --- -----

Truncated cubes and cuboctahedra are Archimedian solids.

----- --- -- - -

I used isometric dot paper.

[srnito]

cube cipher

(bill cipher as a cube)

I look like a dumbass... IM SORRY REQUESTER YOU SAID CUBE BUT I MADE HIM A SQUARE IT WAS ALREADY TOO LATE WHEN I REALIZED IT SAID "CUBE"😭😭😭

[techtuv]

A tesseract, also known as a hypercube, represents a four-dimensional geometric shape by extending the concept of a cube to the fourth dimension.

Unlike a cube, which is limited to three dimensions (length, width, and height), a tesseract incorporates a fourth dimension, either time or space, depending on the context. Imagine a cube moving through time, creating a new layer at each moment of its journey, expanding into a shape beyond our three-dimensional comprehension.

The tesseract's structure consists of 8 cubes, 24 squares, 32 edges, and 16 vertices, all interconnected in ways that challenge ordinary spatial relationships. As a fascinating subject in mathematics and physics, it provides insights into the complexity of higher-dimensional spaces and the nature of the universe beyond our three-dimensional existence.

[productofaritual]

"Oh you couldn't have been that bored" In 2022/2023, when beeduo interacted (if you can even call it that) about once every other full moon and the "beeduo crumbs r just atoms at this point" jokes were at their peak, I decided to run a little calculation

(It's gonna get long, buckle up)

I measured a couple breadcrumbs, coming up with the average size of about 2mm cubed. Converted to pm (you'll see why in just a sec), it's 2x10^27, which I won't type out now but basically 2 followed by a LOT of zeroes.

The average size of an atom is between 30 and 300 pm, but for the sake of calculations we'll be taking 100 pm.

Which means that in a fully packed crumb of bread (or beeduo content), there would be about 2x10^25 atoms.

Now, being very, very generous, let's say we get a painfully optimistic one atom of content per day. That's 2x10^25 days we have to wait for a full crumb of content. Or 20 septillion if you want it in words. 5.47x10^22 in years, rounded down.

If you want it typed out that is 5 470 000 000 000 000 000 000 000 or 54 sextillion 700 quintillion years.

For some comparisons, because a number so large is bound to mean basically nothing to any of you:

The last light in the universe is expected to die in about 100 trillion years. By that point, we would get a little under two crumbs.

The universe is 13.7 billion years old. It could reset from the beginning to this very moment about four times before we got a full crumb.

If you replaced all the water on earth with another liquid one cubic metre a day, by the time you were done, we would have about 0.0025% of the crumb

[omeletcat]

TOP 5 TWO-DIMENSIONAL SHAPES

(this is my own top 5 and is 100% subjective, i am not trying to offend anyone with my personal shape choices, i am aware that t his is a sensitive subject for people in the 2D shape fandom)

ALLLRIGHT ON 5th PLACE I HAVE THE CARDIOID!!!!!

even tho this shape is only fifth place it is still rly good, its nicely shaped and smooth, the wiki page says it was studied a lot, and i agree this type of shape should be studied just ass much as any other shape.

ON 4TH PLACE IS THE RHOMBUS!!!!

BEAUTIFUL NAME AND BEAUTIFUL SHAPE, the name is so great i could just say rhombus every single moment of my life and stay happy. the plurals a Rhombi also its a 4 sided shape with all 4 sides being the same length, just like a square.

3TH PLACE IS THE INTEGER TRIANGLE!!

OUTOF ALLL the triangles the integer is my fav triangle of all time, all sides are.. integers, and it is perfect for doing some pythagoring in your free time!

FOR SECOND PLACE IT IS THE ONE THE ONLY

HEXAGON

this is one of my more controversial picks, a lot of people in the shape fandom would have chosen hexagon as first place! but i think it is a great second, don't think i dislike the hexagon btw it is a great shape!! amazing repitition!! bee's know the deal. but it could never be as amazing as the amazing, the famous

SQUARE

Y'ALL SHOULD KNOW IT I AM A SQUARE LOVER, SQUARE'S ARE SLEAK PERFECT AND SINY, I'D SUCK THE DICK OF A SQUARE IF IT HAD ONE BUT IT DOESN'T CAUS ALL SIDES AND CORNERS ARE THE SAME!!!! AND THAT JUST MAKES ME WANT IT MORE

SQUARES ARE EVERYWHERE, LOOK AT TETRIS? ITS JUST FUCKING CUBES,LOOKAT MINECRAFT (i know its a 3d shape and made out of cubes but a cube is made out of squares so stfu) AS A PIXEL ARTIST I HAVE TO SAY THAT THE SQUARE IS THE BEST SHAPE TO DRAW WITH, ITS PERFECT NOTHING CAN. BECHANGED, Y'ALL SQUARE HATERS CAN SHUT THE FUCK UP

[art-of-mathematics]

Today's Tiny Tetrahedron

(artist of the colorful artwork in the background of the first photo is unknown)