Álvaro Lozano-Robledo
Region: US
Tuesday 28 April 2026 11:57:14 GMT
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cldbrwszn :
Of course it’s wrong, real engineers know that pi=3
2026-04-28 20:08:08
59
davido12 :
omg i wrote my bachelor thesis about this
2026-04-28 13:14:04
35
Ragde :
You telling me pi isn’t 24 😅
2026-04-28 12:10:26
44
mobiuspizza :
The jagged version will never converge to a true curve since it is still only vertical and horizontal lines when you zoom in, the perimeter is always higher
2026-04-28 18:39:01
9
so.much.for.subtlety :
It seems that if you restrict to differentiable functions, the arc length functional would be continuous, but I can’t figure out how I’d prove it.
2026-04-28 15:02:19
0
dzez_zeka :
Is there some intuition on why it isn't continuous? I guess this is actually the intuition on why it isn't continuous but like I kinda want it the other way around
2026-04-28 13:58:37
1
Willstray :
By how the arc length functional is defined, I would guess that if the functions derivatives approach the targets derivative, then the length should approach the correct value?
2026-04-28 12:12:03
2
vinny :
Jokes on you I exist in a space with the taxi metric
2026-04-28 15:25:05
1
Sipho k 👑 :
you gonna need to explain that again
2026-04-30 09:26:54
0
lowkaweirdo0 :
I have a question about this, obviously a true circle has pi as 3.14… but in real life because we are stuck using atoms to form a circle in a grid doesn’t the circumference equal 4 because the square pi=4 proof is for a grid universe
2026-04-29 20:29:14
0
user15129826927 :
well its definitely not 4!
2026-05-05 21:52:52
0
Gabbe 🇸🇪 :
Intuitively it seems like the perimeter would be the average of the inner and outer staircases, but that doesn't seem to be the case.
2026-04-28 14:01:31
0
Gabe Itch :
why do you say curve if it's straight? 🤔
2026-05-04 19:24:43
0
Zach.ζ(s) :
Does this have to do with the fact that a step function is not differentiable at all points or is that not the right idea?
2026-04-29 21:21:44
0
Oh Søren :
Lol right time, since we had uniform convergence of sequences and series' of functions today in our lecture
2026-04-28 16:26:47
1
anson :
Shoreline paradox kinda
2026-04-29 15:00:01
0
UserHal9000 :
I don’t get it… if the limit is not the circunference then what is it? Is 4 for all cases?
2026-04-28 17:21:29
0
J. Hooppy :
He repetido el video 3 veces y sigo sin entenderlo, y ni solo la parte matematica 😅
2026-04-28 15:33:12
1
Oops Daisy :
Kool
2026-05-16 20:25:37
0
ضياء :
I have my own interpretation, and please correct me if I'm wrong: no matter how much you divide the perimeter of a square into smaller parts and approximate the shape of a staircase, it will never lie on the circumference of a circle. However, in calculating the length of a curve in integration, the smaller parts lie on a function.
2026-04-28 16:02:31
0
Alty :
this is the same as the coastline paradox - the coastline of any landmass is not well-defined, you can arbitrarily change it by changing the units you're measuring with.
2026-05-13 20:44:35
0
Fernando M :
the fractals aren’t the same so they don’t equal.
2026-04-29 06:22:08
0
Miraska :
for engineers pi² = e² = 10
2026-05-04 20:15:10
0
Andrew John Bevolo IV :
I think of it as something plainly visible... you're basically tweaking the limiting curve's local "linear density". if you were tracing the path parametrically, you would spend more time traversing the false circle's perimeter than the true circle's. it's like you think of a ds that has components in the direction tangent to the limiting curve and in the direction perpendicular and realize that the path length element is longer by virtue of the Pythagorean theorem. I can make a string of length 4 units fit into a path length of 3.14159265358979 units by simply bunching it up, making little zigzags.
2026-04-28 21:41:55
0
Cheddar Goblin :
Last panel is claiming that pi is 24 which is just absurd
2026-04-30 06:53:41
0
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