Perfect Shape and Isoperimetric Problem

You have probably heard of Dido's problem - a classic example of the calculus of variations. But is there a synthetic geometric solution? Yes, and it was invented by Jakob Steiner
CONTENT
0:00 - Prelude
0:37 - Symmetry helps
1:26 - Back to antiquity
2:01 - Bulge idea
3:11 - Unequal parts?
4:12 -The hardest puzzle ever!
5:30 - Dido's problem solution
6:06 - Is there a mistake?
6:57 - Answer to the first problem
7:18 - Isoperimetric inequality
8:04 - Final chord
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[@quantumgaming9180]

I am going to be honest, you are one of the very few math channels that I can say without a doubt to be really amazing

[@7th_Heaven]

Thanks for this video. Added it as one aspect of trying expressing the perfect cube within a perfect circle capability of a full cycling song, properly engineered and designed correctly.
I needed some isoparametric inequalities videos in addition to it, and being a non-math major it took a while but hopefully it will make sense to those who remotely have an interest in that playlist.
It is not just symbolic of the music but of higher dimensions of space and spacetime bending. One could liken it to stuff that we as humans readily understand through life experiences and even deeper through concerted research... but superficially has not been fully proven empirically.
In short, _my songs know what you did in the dark._
and they'll light that math up beautifully.
fullcycling playlist.
return from absolute zero playlist
and more

[@geometry_manim]

Hit the like and the bell for a new video to come out soon!
Questions, critics and ideas are welcome! Thank you!

[@siddhantkumar6340]

amazing, the graphics make it very intuitive

[@geometry_manim]

Thank you for the kind words!

[@zachzanal1067]

You sound very much like a russian
Some words r hard to pick by from a single take.
Thanks a lot for bringing this inequality to us.
I was guessing the curve to be brachistochrone
, From my limited physics intuition
Really surprised to see how the problem produced an inequality , suggesting circle to be the most symmetric shape( or is it not??)

[@kepka55]

This is his second channel his first channel is Wild Mathing