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/sci/ - Science & Math

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15896425 No.15896425 [Reply] [Original]

>square circles don't exi....

>> No.15896455

>>15896425
This is where math starts going into the fantasy zone. We don't know if there's even one extra spatial dimension yet. I guess it's worth have a few people looking into this stuff incase there's some benefit in other areas, but it should probably be hardly anyone, unless they want to do it for free

>> No.15896706

>>15896455
>I don't understand that high dimensional structure is everywhere in nature and technology.

>> No.15896751

>>15896706
Where is there an 8 dimensional cube in nature ?

>> No.15896754

>>15896425
Squircles

QED

>> No.15896765

>>15896754
No

>> No.15896830

>>15896751
People can be young/old, male/female, short/tall, and thin/fat. Each type of people with respect to these parameters is a point on a 4d cube. Add more attributes for higher dimensions.

>> No.15897009

>>15896830
What is the benefit of representing that as an 8 dimensional cube and defining mathematics for the geometry of it and so on

>> No.15897055

>>15897009
oh, the benefit is infinitely greater that what you will ever bring to the world

>> No.15897684

>>15896751
Spacetime itself: 3 real spatial dimensions, 3 imaginary spatial dimension, a real temporal dimension, and an imaginary temporal dimension with 3+3+1+1 being 8.

>> No.15897686

>>15897055
infinity times 0 is still 0.

>> No.15897727

>>15897009
Statistics for medical research, for example.

>> No.15897890

>>15897686
>infinity times 0 is still 0.
...

>> No.15897916

>>15897055
BTFO

>> No.15897981

>>15897890
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

>> No.15898070

>>15896751
in the picture in the op

>> No.15898076

>>15896425
https://youtu.be/oWfFco7K9v8?t=10s

>> No.15898102
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15898102

>>15898076
Idgi fren

>> No.15898112

>>15896425
>Despite the proof that it is impossible, attempts to square the circle have been common in pseudomathematics (i.e. the work of mathematical cranks). The expression "squaring the circle" is sometimes used as a metaphor for trying to do the impossible.

>> No.15898123

>>15898112
What does that have to do with the 2d projection of a tesseract in an arbitrary number of dimensions?

>> No.15898141
File: 101 KB, 728x679, imgbin-squaring-the-circle-archimedean-spiral-geometry-circle-spiral-vyRDiRYytDPfQ0K3X5hMthSe3.jpg [View same] [iqdb] [saucenao] [google]
15898141

>>15897981
>infinity*0=infinite string of zeroes
.......
>>15898112
>trying to do the impossible.
i mean, yes, but that is if we are doing it with compass and straight edge only, since squaring the circle involves pi which isn't algebraic, and much less constructible(second degree polynomials, which can be solved with compass and straight edge), but using the archimedean spiral(which can't be built with compass and straight edge) it is possible to square the circle

>> No.15898200

>>15898102
https://youtu.be/SzC-pV_moFc

>> No.15898285

>>15896751
Any system of linear PDEs with 8 parameters solved in some rectilinear coordinates

>> No.15898290 [DELETED] 

>>15898285
What are PDE's?

>> No.15898299

>>15896751
Music
https://m.youtube.com/watch?v=MgVt2kQxTzU&t=3556s&pp=ygUcZG1pdHJpIHR5bW9jemtvIGNvbXBvc2l0aW9ucw%3D%3D

>> No.15898301

>>15896751
Count to 8 and you have you

>> No.15898865

>>15897684
Tell me, anon. Are these imaginary dimensions in the room with us right now?

>> No.15898889

>>15897727
Represented as a cube, with 8 dimensions, and not just a regular polyhedron? I know 4d cubes have a few applications outside of theory that actually use their geometry

>> No.15898903

>>15898285
I can't seem to find anything about this. Do you mean for an 8D cube? And is not just some neat trick for representing an exponent or something, it's actually something necessary for some important calculation?

>> No.15898913

>>15898889
Yes, because when you flatten it to 2d you lose the information about clustering provided by the distances in 8d space.

>> No.15899012

>>15898913
Fair enough

>> No.15899025
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15899025

>>15898865
>the room right now