ngl, its fascinating that the shapes are constantly growing closer to each other but will never touch because they are constantly getting smaller too, which also resembles pi like although 3.1415926... but as the number after the decimal is infinite, it is still less than something like 3.15 or 3.2
If you put a koch star in a square the square has a defined area. But if you keep on adding more detail down and down again it will have an infinite ammount so then it has an infinite area. How can somethin gave an infinite area but still fit in an box with a defined area??
@@FlammableNotOnFire No. The perimeter and area of a triangle are independent of each other, so increasing one does not necessarily mean increasing another. Which is why the perimeter increases to the point of being divergent, while the area converges to a finite amount.
Ah yes, coke star
ngl, its fascinating that the shapes are constantly growing closer to each other but will never touch because they are constantly getting smaller too, which also resembles pi like although 3.1415926... but as the number after the decimal is infinite, it is still less than something like 3.15 or 3.2
If you put a koch star in a square the square has a defined area. But if you keep on adding more detail down and down again it will have an infinite ammount so then it has an infinite area. How can somethin gave an infinite area but still fit in an box with a defined area??
It doesn't have an infinite area, it has a limit of 8/5 times the area of the original triangle. It has an infinite perimeter.
@goosemchonk if something has an infinite perimeter would it not have an infinite area?
Omg...science! And finite math and theories that cant actually exist outside a simulation.
@@FlammableNotOnFire No. The perimeter and area of a triangle are independent of each other, so increasing one does not necessarily mean increasing another. Which is why the perimeter increases to the point of being divergent, while the area converges to a finite amount.
Man, don’t show this to someone in 1941
Very cool!
Nice loop
wha- THATS COOL