Like math functions the weird circles etc

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some fabric or prefe

2015-11-24 14:28:46 Post No. 840187

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2015-11-24 14:28:46 Post No. 840187

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Like math functions the weird circles etc

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Only gif!!!

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does that one count?

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>>840278

This is exactly what I'm doing at Uni atm, I just haven't been able to visualize it this well before.

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>>840302

What course curriculum would this fall under? Calculus 2? 1?

I pretty much forgot what you even call these graphs of vectors at each point.

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>>840306

It's actually a "physics" course which is actually about 50% math and 50% java programming.

We're using "Mathematical Methods for Physics and Engineering" (ISBN: 9780521679718) för the math part, IMO it's a pretty good book.

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>>840310

I'm taking calc III too, but we haven't looked at a gradient field once yet.

I just looked and it is literally the next section in my book though. I guess that explains it.

Also just noticed it was using a function of (x,y), so that makes sense.

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>>840312

Why java though? My "engineering programming" type class is in C.

That mashup does seem pretty interesting though.

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>>840316

I dunno, technically it's theoretical physics, perhaps java is more common in that field.

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Attractors

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neat, i have some to dump

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File: pythagoras graphical proof1353852775731.gif (128 KB, 251x231)
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File: pythagoras liquid proof1428983602675.gif (1 MB, 640x360)
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hmm, damn, rest of my gifs is mechanics and engineering, not pure math

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>>841475

Go on.

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>>841475

This is oddly soothing.

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>>842367

I need more!

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>>840187

Colored version.

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>>845694

>X-ray of VTEC engine.

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>>845700

that was mesmerizing.

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>>841475

It hits the side before it goes into the dip. This gear probably wouldn't work in real life.

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>>845691

it walks too sexy

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>>842367

>life's problems.webm

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>>847275

Sick burn

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>>840273

Geometry? sure.

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>>845690

that's the mechanic behind how film projectors work. Think about it. The barrels spin circularly, and the film jerks forward one frame at a time.

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Here this one has circles

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>>847567

Tell me you're joking.

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Some amazing shit here

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File: morph (blink rapidly)1423710676251.gif (2 MB, 512x512)
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blink rapidly for a neat effect

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File: spire turning both ways1373190609473.gif (613 KB, 500x500)
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looks like a wave function, so it hopefully counts

it's one of those things you can make turn both ways if you look it it hard enough

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bunda

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Budda bump

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>>840275

cool

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You guys might enjoy this.

>>>/f/2968223

Just scribble about at speed 100 a bit to get the point.

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>>849226

Is it me or are all signals and systems professors super hardcore

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>>849868

Can somebody explain me what a tesseract is exactly?

I understand how it's the visible "shadow" of a 4 dimensional cube in the 3D world, but how exactly did we come up to that specific form?

Would really appreciate if anybody could enlighten me on this matter

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>>852180

http://jazzeria.deviantart.com/art/How-to-Draw-a-Tesseract-28094461

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>>852180

we assume there is a geometrical pattern and try to continue it.

a 1d "cube" has 2 Points and 1 Line.

duplicate a 1d "cube" and move the second line into a second dimension (perpendicular to the first), tracing the points (so that what previously were the same point before duplication and moving are now connected with a line). we end up with a 2d "cube" with 4 Points, 4 Lines and 1 Face (aka a Square).

duplicate the 2d "cube" and move it perpendicularly into a third dimension, again leaving traces. now we have a 3d cube with 8 Points, 12 Lines, 6 Faces and 1 Volume.

now the thinking goes - what if we just repeat that pattern? we duplicated the 3d cube, move it perpendicularly into a fourth dimension and trace the path, so we end up with a 4d "cube" with 16 Points, 32 Lines, 24 Faces and 8 Volumes.

since we lack any sort of understanding what a fourth spatial dimension might look like and how to properly represent it, we just draw connections diagonally away from the previous vertices so the thing ends up looking like a small cube inside a large cube. but all squares are actually outside faces, we just can't draw it that way.

don't worry, the whole effort is stupid. it's quite natural to not follow this "logic". our brain is hardwired to deal with 3d stuff and 3d stuff only. that's why we can look at a 2d drawing of a cube and immediately make sense of it. we have absolutely no intiuitive concept and a severe lack of brainpower concerning anything 4d. and now trying to represent a 4d object in a 2d drawing (on paper or on screen) is just bound to fail. we would at least have to use 3d, the same way we can't represent a 3d cube properly in 1d.

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>>849883

That's freaking fun to do!

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File: Brief summary of higher dimensions.gif (45 KB, 498x590)
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>>852180

Okay short summary:

To go from 1D to 2D, you take a line segment (red) you add two adjacent line segments on the two points (green) and add one final segment opposite the original (blue). You fold it through the second dimension so all the remaining points touch, and you get a square.

2D to 3D is the same; square (red) four adjacent squared on each side (green), one opposite square (blue). Fold so the remaining edges touch and, boom, cube.

A hypercube(tesseract) is exactly the same thing. Take a cube (R), add six more cubes on each face (G), and an opposite cube (B). Fold it so that the faces touch and you get a hypercube. To get the 3D imitation-hypercube like in the gif you deform it in 3D instead. You will notice on the fake hypercube that there are only two cubes; the small inner one and the (inside-out) outer one. The remaining six cubes have to be mushed into truncated-pyramids to get all the faces to touch.

This process continues on indefinitely. For example you can make a pentaract by adding eight more tesseracts onto each of the cubes of a base tesseract, plus the opposite tesseract and folding so the remaining cubes touch.

As for the 3D tesseract being the "shadow" of the real 4D thing, that's wrong; its just a... "metaphor" to help you visualize the real thing. No idea what a hypercube's shadow would look like, but by "shadow" I assume you mean what it would look like to us if we saw one IRL. We'd probably see a cubic or rectangular-prism cross section of it depending on at what angle it intercepts 3D space, similar to how a cube produces a square or rectangle cross section in 2D.

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>>841475

if you look away from this gif it slows down

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>>856022

And here is a couple more images to help explain it and actually comply with the board rules.

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>>840275

is there a triangle one

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>>840275

Totally reminds me of EKG and capnography waves

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>>840275

the square one is tan(x)

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This thread soothes my autism.

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>>857245

except it isn't. tan(x) tends to infinity every pi, starting at pi/2 when cos(x) is 0

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>>856827

http://i.kinja-img.com/gawker-media/image/upload/s--_6judNqq--/c_fit,f_auto,fl_progressive,q_80,w_636/18qe53qgf6cmrgif.gif

There you go. Would have just uploaded it, but it's apparently corrupt and neither 4chan's uploader nor GIMP recognize it as a gif.

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>>857245

no it's not

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>>857119

Wow, a periodic function reminds you of another periodic function.

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>>849883

pls anon i'm tripping

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>>857512

hmm, GIMP 2.8.10 didn't have a problem

good find

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Septagon

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Polar to Kartesian Coords

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>>859464

It goes a bit too fast to follow so it ends up just being fancy

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>>859475

That's true.

I slowed it a bit down, but it's still more of a fancy GIF rather than an educational.

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>>859465

Is that first rotation really necessary?

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>>840439

They aren't attractors. Points are leaving the region.

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>>851519

dank

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>>845693

That one actually took me a while to understand woud it work in real life and how old is the concept.

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>>857645

triangles confirmed for shit

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>>845693

This is so cool

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File: 3 right angles in curved space.webm (502 KB, 400x298)
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>>862024

that's a three dimentional radian

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>>861713

Do you not understand how gravity works? If they spawn outside the area the fall into the gravity well gives them enough speed to climb back out unless they get trapped. This is why orbits are ellipses and not spirals ending in collisions.

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>>845700

that would make a really nice tattoo

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>>862022

Thanks doc

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>>862084

You do know that an attractor has a precise mathematical definition right? This has nothing to do with gravity.

Also no, if the particle starts at infinity the orbit would be parabolic, not closed. Look at any book on Kepler's problem first before you post your stupid shit.

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>>862026

The surface is 2 dimensional you fucking idiot.

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>>862125

Cool. So the device is a perpetual impatience machine?

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>>847507

This is glorious

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>>859481

especially because you don't have to construct the side twice simultaneously on both sides!

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>>862026

What is non-euclidean geometry?

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>>849140

Film rolls smoothly in front of a flashing light you fucking retard

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>>852279

That makes sense. Thanks a lot.

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HooWoo

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>>861725

>how do you kill a topologist?

>hand him a mug with sprinkles on top

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>>849893

Took me quite a while to realise it's rotating at all

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>>851843

probably. mine's a pimp. works on brain shit

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>>847567

omfg this guy

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>>868210

Is this what old fags can do

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>>859499

if i had to guess, it has to do with where the origin is. normally you "start" at x = 0 and let x increase when you're plotting a cartesian function, and normally you start at theta = 0 and let it increase when you're plotting a polar function.

i imagine that the first rotation has to do with the established conventions on how to translate between the two coordinate systems, and if it were not done the resulting polar graph would be shifted by half a period or something from the graph that has been established as the polar analog of that particular cartesian function.

>>859569

that being said, it's possible that with this particular function, it happens to look the same with or without the first translation and it was only included for correctness and not because it was visually necessary. that might not hold true with other functions.

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>>862327

Sadly unlike you, it has depth.

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>>868951

Are you fucking retarded? Are you saying the triangle has depth? Is this how much I can expect from /wsg/?

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>>841464

i can't stop staring at this one

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>>861717

any way you slice through this shape you always can get two circles.

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>>861717

I'd like to see the plane rotate around inside the donut to see how the cross sectional shapes evolve with time.

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>>868703

Pic related

>>868951

What is Elliptic geometry?

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>>870021

Glad I could help.

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>>845702

oy vey

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>>841466

doesnt this suggest that pi has an end digit? I mean the circle point has to land somewhere

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>>871278

No, all that suggests is that pi is a real number.

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>>849871

>dat clipping tho

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>>845698

I liked that and implemented it for Android.

https://github.com/pabloogc/Wub

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>>871478

Nice one

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>>842367

this is terrifying for some reason

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>>871523

It is difficult, and sometimes impossible for humans to comprehend scale.

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>>840278

>>841472

As somone with Dyscalculia I can't even begin to imagine how somone understands this stuff. I had an ex who was a maths wizz that would just say it was "easy" and shit all the time and she would never explain it. And then there is me who struggles with even the simplest sums and can't tell the time on analogue clocks.

Feels bad man

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>>871523

Isn't it scarier to think the first block is infinitely small

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Anyone remember that Sodaplay java thing from the 90's? Some of these remind me of that.

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>>871127

This happens to me way to often when waiting at a red light

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>>840273

fractals

>i'll never understand them

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>>871278

someone doesn't understand the continuous number line

(dw me too)

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>>852279

>we assume

Which is the point where math is lies.

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>>872111

so... the whole of mathematics is lies? math is founded on axioms. hell, logic is founded on axioms, which is just a fancy word for "assumption we define as truth".

math only produces absolute truths as long as you buy into the underlying axioms. assumptions are a valid tool as long it is being made clear they're assumptions. i don't really understand your criticism of the phrase "we assume" in general.

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>>841468

>o-one example is totally a proof, right guise?

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>>872311

I saw a video of Neil deGrasse Tyson asking another scientist (can't think of his name) something along the lines of, "What if advanced aliens came to Earth and told us that math is the wrong way to try and make sense of the universe?"

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bump

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>>871753

>Dyscalculia

...that's a thing?

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>>871123

just think, goyim; every vertice of a david fractal represents a dead jew at the hands of the white race!

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>>847567

you cant be real..

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>>857645

Vaginas

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>>859569

>Just tested it with Scilab

How does that program compare to mathlab? I'm in my 3rd year of Mechanical Engineering and I've heard that next year we're going to use Scilab a lot.

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>>856022

Now here is my question.

We can illustrate 3d cubes in 2d easily, you do it in your image.

Also in your image you illustrate a 4d cube in 2d.

Can we not make a 3d representation of a tesseract?

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>>874446

>Also in your image you illustrate a 4d cube in 2d.

he really doesn't though. all areas defined by 4 points in a plane are squares and outside faces. all volumes defined by 8 points are non-intersecting cubes. all angles are 90°.

nothing of this is properly represented in the drawing, so it's really more of a cleaned-up artist's representation governed by how to neatly tuck everything away, rather than how it would actually look. doing a model in 3d based on that representation would just end up as a cube with the rest invisibly taking place inside. or visibly if you use translucent material.

so the trouble is twofold: 1) for an actual representation we need a fourth 90° perpendicular, but after three we've run out. 2) the 2d wireframe drawing cheats by showing us things that lie behind faces or inside volumes.

if you colour the faces of the 2d drawing, it'll look just like a cube, the same way an opaque 3d model would. which is not even a bad representation, since a 4d cube intersecting 3d space would indeed look like a 3d cube, just like a 3d cube intersecting 2d space looks like a square.

this concept is easiest shown with a sphere, so we don't have to care about orientation. if you take a 3d sphere and pass it through a 2d plane to an observer on that plane it would look like a dot growing to a circle and shrinking back to a dot. so a 4d sphere passing through our 3d space would start as a dot, expand to a sphere and shrink back do a dot before disappearing. spooky :-) i like the idea there is an infinitely larger 4d space outside of 3d space, the same way there is an infinite 3d space outside of a 2d plane and that space goes into a direction an inhabitant of the 2d plane could not hope to comprehend, because "up" or "down" is meaningless in 2d.

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>>874446

You will note that to a being in 2d space the cube drawing would look like an irregular hexagon (from the outside) and the tesseract drawing an irregular octagon.

Theoretically a 4d being could make a 3d drawing that to them looked like a tesseract, but to us it would just look like some weird 3d shape.

As I stated above and >>874504 also mentioned, the best we are getting (bar some advances in cyberbrains and 4d modeling software) is 3d cross segments of higher dimensional objects

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>>873715

I met the guy assistant and didn't like their thought process. They're like those things are living cause they can move on their own and said that kind of things to the public (it was at a demonstration).

I was like any living thing also needs to be able to eat to grow and to reproduce by itself but they didn't want to hear anything.

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>>845700

had to watch it to the end

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>>871127

What's this one?

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>>849883

How can I use this to send secret messages?

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>>873398

Same way that dyslexia is something too.

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>>871278

The thing is that if you divide a number line into a lot of pieces you can get arbitrarily close to pi but you can never get exactly pi, you always will be off by just a little bit. Like, we define one u as 1/12th the weight of an atom of carbon, but if we try to get that with hydrogen atoms, you will find that putting 12 atoms of hydrogen together, they weigh just a little more than an atom of hydrogen.

>>872550

I don't think you know what the word "example" means. No particular numbers were used,

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>>871281

Don't real numbers end?

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>>849883

>all those tits

please anon, this is worksafe gif

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>>875155

Not all real numbers can be represented with a finite number of decimal places, no.

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>>875155

You are thinking of the rational number, which are a subset of the real numbers.

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>>875233

Rationals don't end either you fagtron

1/3 = 0.333...

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>>868721

kek

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>>875363

Shit, you're right, my bad. I misremembered the division between rational and irrational as whether or not they terminated.

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File: Cold Play - Don't Panic -- The Beauty of Mathematics.webm (4 MB, 1511x480)
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4 MB, 1511x480

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>>877947

I've seen those images in gifs before. I didn't know they were from a music video.

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>>878003

The video is called The Beauty of Mathematics.It wasn't originally a music video.

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>>840273

Fucking fractals. They always weird me out.

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>>851447

Hehehe

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>>859464

saw this on numberphile

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>>862445

This.

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>>862445

>smoothly

that's the illusion of motion, "you fucking retard".

jees, prove him wrong or just don't bother commenting

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>>871278

The concept of infinity is a simplification of reality that is only used in math because it makes stuff easy. In reality, pi doesn't even exist because everything is quantized.

In that image, too, the dots/pixels/photons are limited.

So no, pi has no end digit, but it also doesn't really exist.

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>>845691

dapper as fuck

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>>880420

favourite anime

[spoiler]Triangle best girl[/spoiler]

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>>873402

I don't believe that that counts as a steradian. I might be mistaken though. Last I learned, a steradian involved the 'chunk-angle' of the sphere itself, not just the surface. Anon is just posting a triangle in a way to visualize non-euclidian space. It's not supposed to take into account the curvature of the sphere/depth of the surface as if it was placed in R3.

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bump

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>>880420

lol

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>>862445

Dumbass,

https://en.wikipedia.org/wiki/File:Movie_projection_4_stages_en.png

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>>877947

I hate to be that guy, but I think mathematics is given just a little too much credit. It's a great tool for describing just about anything, as well as making predictions. However, people so often forget that the math describes the reality. The reality has to come before the math, but people do enjoy creating reality out of math.

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>>881896

Can I ask how the radius of the blue circle is formed?

Does the gradient of the point in the red line determine the curvature of it?

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>>845702

what would happen if you did that with a square

>>

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>>884544

Taking a 3d sphere to 4d would be just like taking a circle to 3d. Inflate it through the 4th dimension till its spherical no mater which direction you look at it from (like how a sphere is appears circular no matter which direction you look at it from.)

For any of the platonic solids just follow the cube method: original, one on each face, opposite, fold closed. The 3d "metaphors" would (I assume) follow the 'small inner shape, truncated pyramids, large outer shape' pattern.

More complex shapes (what I assume you mean by 3d model) would follow a similar pattern (if somewhat harder to visualize).

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>>845700

I love spirographs.

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>>884245

the radius of curvature is the reciprocal of the curvature. The curvature is defined as the magnitude of the rate of change of the (unit) tangent vector.

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>>886001

Importantly, it's the derivative with respect to the arc length parameter.

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>>871278

It has to land somewhere, but 'landing' isnt a mathematical concept. Its just a way to see the definition of pi. The definition itself, calculates an irrational number.

>>883936

> I hate to be that guy

Stop being that guy.

As if there arent parts of math that lack any application.

Anyway, it was a dumb video, because Bertrand Russell meant math is beautiful on its own, and all those applications are the exact tapestries he was saying math didnt need.

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>>886040

that's how these pop sci videos completely miss the point. It may be the only way to reach the masses with this stuff, but then you're giving them something diluted and perpetuating misconceptions about math and science.

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>>871753

Atleast you don't have Chocula

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>>847507

> camera test shot from a live action Magic Schoolbus movie

plz let me dream.

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>>841475

Not used to seeing gears with such a high addendum but should work fine

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>>845693

Would be easier if you showed some simulated air pressure inside

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>>862508

saving this as "stepladder.gif"

>two kinds of people in the world

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>>890049

saved that as "chairladder.gif"

>three or more kinds of people in the world

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>>862022

It's like I'm really reading Jurassic Park

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>>877947

Is there a fault at 0.35. Shouldn't the lens be other way around.

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>>890472

Not only that, but the focus should be in one place only relative to the lens, not the paper.

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>>845700

Pretty meh... until the end.

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>>890472

No, its just the wrong lens entirely, the one in the middle has a flat side, where the one on the right has a curve on each side.

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>>862327

this is why i love 4chan

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>>871131

>safe_image_(1).gif

this summoned satan and made mustard gas

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>>859464

it's a heptagon

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>>842367

fuck off with your borg shit anon

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>>842367

For some reason, the Macarena really fits well with this if you time it just right, so that AAAH-AYE hits when the finished block rolls backwards.

https://www.youtube.com/watch?v=6wINQ4ywd3U

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>>840439

Quick question about attractors: Are they functions where you can find the state of a system that has gravity-like behaviour by specifying a time, rather than simulating up to that point?

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>>852180

Imagine, above your head, in a completely, perfectly flat square, is a 2d realm. Everything is just flat lines.

Imagine, if you will, that you poke your finger through this realm. Because there is no depth in this realm, your finger appears as a rough circle, changing in shape as your knuckles pass through, and finally changing shape completely as your hand passes through.

Does this make sense?

Oddly enough, anime helped me here. This is a scene from the remake of Evangelion. The story requires a shit ton of explanation and it will always be 2deep4everyone, so here's the important stuff:

This thing is a 4 dimensional creature. In our world, it appears as a big blue octahedron, but you see, only a slice of it appears in our world. when it moves in the 4th dimension, it moves in seemingly impossible ways in our dimension, but that is because it is not bound by our laws. In that way, it is similar to moving your finger and arm through that 2-Dimensional realm; if any creatures were alive in that 2D realm, your arm changing 2D shape and position would seem impossible to them, but looking at it from your perspective it makes perfect sense.

Does that make sense?

>>

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>>884539

Doesn't work, that gif only works because the new shapes on the border created by the overlap are still triangles.

Or at least, it doesn't work the same way. You could makes something if you changed the method, but it wouldn't seems like a square equivalent of the pattern.

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>>840278

Fuck I have my math analysis II final in two months and I can't remember any of this shit

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>>875363

Rationals end, just that some of them cant be represented using the decimal system.

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>>845690

https://www.youtube.com/watch?v=En__V0oEJsU

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I will contribute a few

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>>886091

>It may be the only way to reach the masses with this stuff

Why bother? Probably half the population does not have the requisite IQ.

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>>877947

I think I got GRIDS from how fucking gay this is

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>>840273

Legitimately reminds me of my first time doing acid. That shit was crazy.

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>>886040

Honestly, that seems kind of dumb. Math isn't beautiful on its own, at least without reference to any real world applicability or foundation in phenomena that can be witnessed in some way. Like you can say some formula is right but if there is no way to relate that to anything can even be theoretically witnessed, then who the hell is going to think its a beautiful outside of gimmick pop-sci formulas like Tupper's self-referential formula.

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>>849866

Red leader standing by

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>>857645

Bottom one is false, if it were true then that's what our heartbeat would look like when it's hooked up to a machine. Clearly this isn't the case.

Myth busted.

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>>871127

someone should make a webm out of this

https://www.youtube.com/watch?v=yVkdfJ9PkRQ

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>>880525

But what would happen if they complete a revolution at the same speed? the smaller ones are going 2x times faster

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man this thread makes me wish i stuck with maths, 15 year old me just could not be fucked

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>>871753

Do you have legit dyscalculia, ore are you just intellectually lazy, liuke the rest of the normies?

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>>842367

D4C!

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>>900935

Here.

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>>849228

i dont know why i find this so funny

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>>871478

How do i use

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>>902508

It's the redundancy of attaching wheels upon wheels.

>>

>>841466

How many revolutions before π lands on another integral?

>>

>>880523

my personal favourite is watching the gif on its own and making the leg in the middle rotate in a different direction from the rest as though it's unscrewing which is also possible

>>

moire

>>

>>902871

It never does that's why pi is an irrational number

>>

>>903135

Saved it as "topological equivalence mapping"

One kind of staircase in the world - up to homeomorphism

>>

>>845688

very noice

>>

>>902893

That's a smart dog

>>

>>861869

u can find more info under: http://www.buch-der-synergie.de/index_englisch.html

>>

>>871127

I've always thought that this sort of animation is basically going from one number to the next number on the number line. I think this because it seems to show these brief moments of dots going (not really in this animation because it's slanted) parallel to each other. Moments where it's the two lines of dots giong paralel, other times more. I'm hypothesising that it's going through the number line and hitting the different fractions (1/3,1/2,1/4 etc.) on the way. Can anyone confirm/tell more about this?

>>

>>

>>902521

search for gif widget on google play

>>

>>902893

i will never understand this gif. the right part of the stick just phases through the wood

>>

>>872550

You don't know mathematics, do you?

>>

>>903934

pls explain

>>

>>903934

how

>>

▲

▲▲

>>

>>880523

i keep getting stuck on one or the other cant make it bounce

a full shading with all anatomical forms keep poping into my head overlaying itself and i cant stop it

>>

>>904133

it's a very short moment when the stick jumps out past the post and then back in that it looks like its going right through

>>

>>840275

This reminds me of auditory waveform compression. (WAV vs MP3 vs FLAC)

>>

>>904179

practice elsewhere, pleb

>>

>>871478

Pablo, please explain how to implement this in my device, as a total pleb to a true og sensei. I will root for this if needed just because you did such an awesome job making this.

>>

>>904133

you dont have any depth perception for the gif

>>

>>841470

Clever.

>>

Bumping for new ones. I've seen the same ones in these threads for years now.

>>

>>883936

Math is the ultimate truth though. If we would want to communicate to a species not sharing any language characteristics with ours, it would be with mathematics.

>>

>>870792

How much computational power was needed to create this animation?

>>

>>906383

no clue, though technically any amount would work given enough time to run.

>>

>>841470

You know what's really beautiful, though? Proving trigonometric identities like Pythagoras's using Euler's theorem.

Taylor's proof of Euler's theorem is the most beautiful thing I have ever seen in my life. When my differential equations professor first showed it to me, I was literally on the verge of tears.

>>

>>883936

>However, people so often forget that the math describes the reality. The reality has to come before the math, but people do enjoy creating reality out of math.

That's a debateable statement. It is a big unanswered philosophical question whether math preexists the universe or vice versa.

I personally disagree. I think math exists independently of the universe.

>>

>>894714

And this is why Ramiel-chan is best girl

>>

http://imgur.com/gallery/RG7Kd

>>

>>849868

How we get this representation is from a 2d representation of a 3d cube. A 2d representation of a 3d cube is a large square with a smaller square inside of it, and all the corners are connected. A 3d representation of a 4d object is the same, a large cube with a smaller cube inside of it, all it's corners connected respectively. When you rotate it something interesting happens. Watch this gif and imagine that you can't see the 3rd dimension. One side of a square just seems to stretch, while the other side seems to shrink. In reality the lengths of the sides never change.

>>

math?

https://www.youtube.com/watch?v=8FaziD_7i24

>>

>>861720

What function is?

>>

>>845699

MY BARIN CANT HSNLESS

>>

>>894787

Are you fucking stupid? What does "end" mean to your retarded brain?

>just that some of them cant be represented using the decimal system.

Except that they can, you fucktard. Literally any real number can be represented uniquely by base-10 Cauchy sequences, which are decimal expansions of the number.

I'd prove this fact to you but it seems like you haven't even gone through grade 6 arithmetic.

>>

>>901006

I think the curve here is generated by the by geometry. I mean, if you traced a circle with a compass really fast, it's still the same shape.

>>

>>862508

I used to have one of them. Using was terrifying in either mode because you felt like it was going to fold in,

>>

>>

>>908452

It's the affine variety of y^2-x(x-1)(x-2)

>>

>>915862

Well done, friend. You sure showed him, what "end" means for you.

>>

>>871525

>It is difficult, and sometimes impossible for humans to [something]

>It is difficult for me to [something]

>>

>>916472

No need to samefag you stupid dumbass.

>>

ffix on ios when

ffxv when

good SNES remakes when

>>

>>862445

moron motion blur

>>

>>840275

why does the slope on the square have a wobble? Shouldn't it be straight?

>>

I see it.. Yes! I see it! Each drop of water!

>>

>>916784

As you get farther from the center a longer section of perimeter is covered by each degree of rotation, so it moves faster near the corners.

>>

>>880525

spirograph anyone?

>>

I'm looking for a red tunnel motion graphic.

Basically, it's a series of red squares with white lights flashing.

Anyone know what I'm talking about?

>>

>>916784

Nah, it's basically the tangent function, but cut off by the perpendicular turn. If all you had were the vertical lines, you'd have a tangent.

>>

>>908027

>Euler's theorem

>literally 1000 theorems with that name

anyways, you're probably referring to e^ix=cosx+isinx, which was proved by Euler using Taylor's theorem, not by Taylor. Also, it's not that 'beautiful'

>>

>>

>>880427

>pi has no end digit, but it also doesn't really exist.

Then what am I eating right now?

Checkmate atheists

>>

>>904133

4 dimensional doge

>>

>>873100

we'd probably punch 'em

>>

>>862323

he watered it down but he's right that point's aren't leaving those attractors.

>>

For anyone interested into this shit: http://p5art.tumblr.com/

>>

>>919031

>there are people literally blind posting on /wsg/ right now

>>

>>872550

Try one hundred and fifteen, you stupid fuck.

http://www.cut-the-knot.org/pythagoras/

>>

>>916453

This assumes Tool doesn't fucking suck, which is does.

>>

>>

>>926090

Okay shorter summary:

Fold 4 lines in 2D, get a square.

Fold 6 squares in 3D, get a cube.

Fold 8 cubes in 4D, get a tesseract.

See image >>856022

The hypercube isn't a tesseract. (It only has 2 cubes, the other 6 volumes are truncated pyramids [or other configurations while moving].) However, if it might look like a tesseract to a 4D being depending on viewing angle. (Similar to how we can look at a 2D drawing and see a cube.)

Compare this image >>908420 to this image >>849868

Anything I missed?

>>

>>926090

1st dimension: line

point point point point point point point point

2nd dimension: square

line line line line line line line line

or

point point point point point point point point

point point point point point point point point

point point point point point point point point

point point point point point point point point

3rd dimension: cube

square square square square square square square square

or

line line line line line line line line

line line line line line line line line

line line line line line line line line

line line line line line line line line

or

point point point point point point point point point point point point point point point point

point point point point point point point point point point point point point point point point

point point point point point point point point -> point point point point point point point point

point point point point point point point point point point point point point point point point

>>

>>926090

>>926176

last one was:

point point point point point point point point -> point point point point point point point point

point point point point point point point point -> point point point point point point point point

point point point point point point point point -> point point point point point point point point

point point point point point point point point -> point point point point point point point point

so, the 4th dimension: hypercube must be

cube cube cube cube cube cube cube cube

or

square square square square square square square square

square square square square square square square square

square square square square square square square square

square square square square square square square square

or

line line line line line line line line -> line line line line line line line line

line line line line line line line line -> line line line line line line line line

line line line line line line line line -> line line line line line line line line

line line line line line line line line -> line line line line line line line line

or

point point point point point point point point -> point point point point point point point point

point point point point point point point point -> point point point point point point point point

point point point point point point point point -> point point point point point point point point

point point point point point point point point -> point point point point point point point point

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

point point point point point point point point -> point point point point point point point point

point point point point point point point point -> point point point point point point point point

point point point point point point point point -> point point point point point point point point

point point point point point point point point -> point point point point point point point point

>>

>>926090

>>926176

>>926177

This may not have worked, because I'm trying to explain a 4d object to someone who thinks in 3d through a 2d medium.

But essentially, each new spatial dimension is perpendicular to all existing spatial dimensions, so a hypercube is just cubes stacked in a direction perpendicular to X, Y, and Z.

>>

>>

>>926184

Don't really have a background in higher mathematics or geometry, kinda picked up shit here and there and reasoned out the rest. I'm also possibly autistic so it's possible my thinking about basically anything is fucked. I know there are other ways to demonstrate it, this one just makes the most sense personally.

Am I at least correct?

>>

>>926194

Yes, you are correct, its just that text doesn't demonstrate it particularly well, especially when you try to add the third and forth dimensions. I know what you are trying to say, so it makes sense to me, but I doubt the arrows make a lot of sense to someone who doesn't quite get it yet.

>>

>>926215

Yeah, I kinda had to improvise, drew up a picture but 4chan wouldn't let me upload it. This was the best I could do regarding visually demonstrating it. I find that just trying to explain it with words doesn't work, particularly for someone with adhd.

>>

>>926228

/wsg/ only lets you upload .gif or .webm images. You can post it if you convert it to a gif, though a mod might remove it for violating the "no static gifs" rule, but since the thread is autosageing I doubt they will bother.

>>

>>926230

I know, originally had it as a .gif, still wouldn't let me.

>>

>>926240

Huh. All I can think of is see if you managed to exceed the max file size or something, otherwise I have no idea what's wrong.

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