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Could Never Understand.
11 years ago
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The surface area of a sphere.
Place a perfect(theoretical) sphere onto a 2 dimensional surface.
The point of contact between them will be infinitely small.
Finding surface area means breaking the faces of a three dimensional object
into pieces and reassembling them into a two dimensional plane, of which one finds the area.
So, finding the surface area of a sphere means to break
the surface into infinite parts of no area.
All parts would be equal here.
Number of pieces (if they're equal) multiplied by their area = Surface area.
∞ x 0 = any value
Infinity is a strange thing.
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We do not understand what we create within ourselves.
Sonds familiar. :)
immer doch.
you win
what is this?
Tërapaooooo XDD
aaaaaaa
Të = You
Sam = Speak/Language
How I speak/think about you
Raw =
Literal translation = Red
Translation = Cruel/Hate/mean
Amu = Lit. Translation = Love
translation = Admire
Ët = I/ Me/ Myself
//This is why I hate math... Although, it is a very interesting thing to contemplate. owo
The contact surface is infinitely small, though not necessarily zero.
If it were zero, the object wouldn't exist, as it would have infinite points with zero surface.
The contact surface area just "tends" to zero, it's never zero, just infinitely small.
The number of surfaces one can divide the sphere is technically infinite (a sphere is technically a polygon with infinite sides)
So, we are adding infinite terms with an infinitesimal value each.
And mathematically, THAT is possible.
However, how would one write that?
And that's when pi, and the radius of the circle comes.
The formula for the surface of a sphere (A = 4pi.r^2) is just a simplified equation for a much more complicated way of finding the survace.
If we were to add the infinite terms, we would have to deal with things like integrals, and riemann sums (ways of adding infinite terms), and that's somewhat complicated to demonstrate in just one comment :P
You seem to be very knowledgeable indeed about the subject. :)
I wanna try it too!
That's the basic infinite sum, 1/2^x.
An easer way to demonstrate it is to:
Draw a square
Fill half square
Fill one quarter
then one eight
And so on
The square wil tend to fill itself up, meaning that if you add 1/2^x infinitely, the result is one.
Beautiful.
I love thinking around these things.
brings us back to here haha
http://www.furaffinity.net/journal/5611158/
V=4/3rπr3
But if your name is Dislodgic and you are capable of over thinking everything,
One could say that, when one finds the volume of a sphere, one is breaking the space inside
into units, measuring the volume of each and adding them up.
Imagining a perfect sphere, one could say that one needs an infinite number of
fraction os units to fill the curve of it's surface.
As with pyramids (assuming a unit is a square), one has some whole ones in the center,
and then one needs some that have been halved diagonally to achieve the slant of it's side.
1/2s
For a sphere, this fraction would be... ∞/1