I think it’s because no matter how many corners you cut it’s still an approximation of the circumference area. There’s just an infinite amount of corners that sticks out
It’s a fractal problem, even if you repeat the cutting until infinite, there are still a roughness with little triangles which you must add to Pi, there are no difference between image 4 and 5, the triangles are still there, smaller but more. But it’s a nice illusion.
Because you never make a circle. You just make a polygon with a perimeter of four and an infinite number of sides as the number of sides approaches infinity.
That approach works for area but not for perimeter, because cutting off the corners gives you a shape whose area is closer to the circle’s, but it doesn’t change the perimeter at all.
Also
Pi = 4! = 4×3×2 = 24
Omfg why can’t I figure out why this does not work. Help me pls
I think it’s because no matter how many corners you cut it’s still an approximation of the
circumferencearea. There’s just an infinite amount of corners that sticks outYes. And that means that it is not an approximation of the circumference.
But it approximates the area of the circle.
True, thanks for the correction
It’s a fractal problem, even if you repeat the cutting until infinite, there are still a roughness with little triangles which you must add to Pi, there are no difference between image 4 and 5, the triangles are still there, smaller but more. But it’s a nice illusion.
Because you never make a circle. You just make a polygon with a perimeter of four and an infinite number of sides as the number of sides approaches infinity.
But if you made a regular polygon, with the number of sides approaching infinity, it would work.
https://youtu.be/VYQVlVoWoPY
Exactly what I was expecting haha(I mean the video)
The lines in this are askew and it’s mildly annoying
They’re there to askew why the logic doesn’t work.
Does this work with triangles too?
That approach works for area but not for perimeter, because cutting off the corners gives you a shape whose area is closer to the circle’s, but it doesn’t change the perimeter at all.