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luvdemboomers
loner with a boner
Registered: 01/11/13
Posts: 5,054
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physics theory
#22184845 - 09/03/15 08:25 PM (8 years, 4 months ago) |
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pi*radius^2= area of circle (2 dimensional) (4/3) pi*radius^3= volume of sphere (3 dimensional (x/4) pi*radius^4= ____ of _____ (4 dimensional)
Been a good while since I took calculus/physics but I remember wondering about this even when I completely understood it.
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FruitOfLife
Professional Package Handler


Registered: 05/21/12
Posts: 4,832
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I think I can speak for 99% of the shroomery when I say that I(we) have no idea what the fuck that is.
But I have always been jealous of people who could do that math. Respect
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nonameaaa
Stranger
Registered: 09/03/15
Posts: 7
Last seen: 8 years, 4 months
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4th dimensional volume is hypervolume. Dont know what the shape would be though. 4th dimensional cube is hypercube, so maybe just hypersphere.
Edited by nonameaaa (09/03/15 09:01 PM)
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Malcolm_Xtasy
Oh baby what Is you doin??



Registered: 04/04/12
Posts: 13,851
Loc:
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Quote:
luvdemboomers said: pi*radius^2= area of circle (2 dimensional) (4/3) pi*radius^3= volume of sphere (3 dimensional (x/4) pi*radius^4= ____ of _____ (4 dimensional)
Been a good while since I took calculus/physics but I remember wondering about this even when I completely understood it.
I don't understand what you're asking. Are you wondering why the math works the way it does?
-------------------- I'm stupid, Enlil is smart. I'm ugly, Enlil is beautiful. I'm a loser, Enlil is a winner. Someday, I hope to be like Enlil but secretly know I never will.
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nonameaaa
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Registered: 09/03/15
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Last seen: 8 years, 4 months
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Also, google a video of the rotation of a hypercube. It is pretty mind blowing to think that what is happening is analogous to a cube in three dimensions spinning on an axis. There are some pretty cool rotation images out there for how 3 dimensional objects would appear if they were rotating in 4 dimensions.
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4HO-DMT


Registered: 01/11/11
Posts: 5,073
Loc: County Line Road
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These are referred to as hyperspheres or n-spheres, where n is the number of dimensions. The volume, V, and the surface area, S, are:
V2n+1 = r2n+1 * 2n! * (4*pi)n / (2n+1)!
where 2n+1 is the dimension of the sphere.
Sn-1 = rn-1 * 2 * pin/2 / Gamma(pi/2)
where n-1 is the number of dimensions.
link
Edited by 4HO-DMT (09/04/15 05:21 PM)
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FruitOfLife
Professional Package Handler


Registered: 05/21/12
Posts: 4,832
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Re: physics theory [Re: 4HO-DMT]
#22185155 - 09/03/15 09:15 PM (8 years, 4 months ago) |
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You guys make me feel stupid
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Malcolm_Xtasy
Oh baby what Is you doin??



Registered: 04/04/12
Posts: 13,851
Loc:
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Re: physics theory [Re: 4HO-DMT]
#22185224 - 09/03/15 09:22 PM (8 years, 4 months ago) |
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Quote:
4HO-DMT said: These are referred to as hyperspheres or n-spheres, where n is the number of dimensions. The volume, V, and the surface area, S, are:
V2n+1 = rn * 2n! * (4*pi)n / (2n+1)!
where 2n+1 is the dimension of the sphere.
Sn-1 = rn-1 * 2 * pin/2 / Gamma(pi/2)
where n-1 is the number of dimensions.
link
Was I supposed to learn this in Calc III? I don't remember any of that shit
-------------------- I'm stupid, Enlil is smart. I'm ugly, Enlil is beautiful. I'm a loser, Enlil is a winner. Someday, I hope to be like Enlil but secretly know I never will.
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nonameaaa
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Registered: 09/03/15
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Last seen: 8 years, 4 months
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You do get a bit of 4th dimensional volume when you learn triple integrals. But no, that really wasnt a big part of the curriculum.
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