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Geometry
Argentina
เข้าร่วมเมื่อ 7 ส.ค. 2022
This channel is about geometry and mathematics in general, about beautiful theorems and their proofs
Misconceptions About the Golden Ratio #SoMEπ
Where is the real golden spiral, and where is the fake? How often is the golden ratio used in painting, cinema and architecture?
0:00 - This is NOT the Golden Ratio!
0:27 - Which myths/facts will we be testing?
0:52 - Which rectangle is more harmonious?
1:13 - What is the golden ratio?
2:50 - Rule of Thirds (Fibonacci)
3:47 - The Fibonacci Spiral
4:38 - The Golden Rectangle
5:00 - The Spiral that’s NOT Dürer's
5:24 - The REAL Golden Spiral
6:12 - The Golden Ratio in Nature?
7:11 - The Golden Ratio in Art?
8:19 - The Most Beautiful Facts Are Yet to Come
8:32 - Survey Results
8:57 - Conclusion
9:13 - See in the next Episode
0:00 - This is NOT the Golden Ratio!
0:27 - Which myths/facts will we be testing?
0:52 - Which rectangle is more harmonious?
1:13 - What is the golden ratio?
2:50 - Rule of Thirds (Fibonacci)
3:47 - The Fibonacci Spiral
4:38 - The Golden Rectangle
5:00 - The Spiral that’s NOT Dürer's
5:24 - The REAL Golden Spiral
6:12 - The Golden Ratio in Nature?
7:11 - The Golden Ratio in Art?
8:19 - The Most Beautiful Facts Are Yet to Come
8:32 - Survey Results
8:57 - Conclusion
9:13 - See in the next Episode
มุมมอง: 705
วีดีโอ
Full Explanation «Animation vs. Geometry»
มุมมอง 32K2 หลายเดือนก่อน
ORIGINAL VIDEO: th-cam.com/video/VEJWE6cpqw0/w-d-xo.html ALAN BECKER: www.youtube.com/@alanbecker Review of the video “Animation vs. Math": th-cam.com/video/P9QSL7EC0Fc/w-d-xo.html Video about fractals: th-cam.com/video/YkApFcYsP30/w-d-xo.html CONTENT 0:00 - Geometric objects and theorems 1:30 - Famous constant 2:00 - From a broken line to a triangle 2:31 - Symmetry and rotation 2:56 - From n-p...
What's Behind the Parabola? (#SoME3)
มุมมอง 17Kปีที่แล้ว
Today we'll look at the amazing facts about a parabola CONTENT 0:00 - Do straight lines form a curve? 0:28 - Parabola in 3D-space 1:01 - Gravity and trajectory 1:19 - Another envelope 1:44 - Geometric approach 2:29 - Optical property 2:44 - Parabola makes life better 3:28 - Graph of a quadratic function 4:24 - Conic sections and formulas 5:21 - Pascal's theorem 5:55 - Amazing fact! 6:30 - For r...
The Beautiful Riddle of Martin Gardner
มุมมอง 972ปีที่แล้ว
There are 5 points some way arranged on the sphere. How many of them can you catch with a semisphere of the same radius? CONTENT 0:00 - Listen carefully 0:51 - Correct solution? 1:54 - Stronger result 3:18 - What if we stopped early? 5:00 - One more riddle for you
Full Explanation «Animation vs. Math» (with Formulas)
มุมมอง 15Kปีที่แล้ว
ORIGINAL VIDEO: th-cam.com/video/B1J6Ou4q8vE/w-d-xo.html ALAN BECKER: www.youtube.com/@alanbecker CONTENT 0:00 - What kind of video and who is the author? 1:14 - What do the first frames mean? 2:17 - Discovery of zero, appearance of e^(iπ) 3:19 - Development of algebra 4:43 - Complex numbers 6:44 - Understanding Euler's formula 8:14 - Taylor series and other facts 9:05 - Identities, hypotheses,...
The Amazing Connection of Physics and Geometry
มุมมอง 1.6Kปีที่แล้ว
How we can use physics to prove geometric theorems? Incenter and Fermat's point, optics and mechanics CONTENT 0:00 - Stiener tree problem and Potential energy 1:25 - Geometric minimum and Optics 3:19 - Incenter and Three forces principle 5:10 - Centroid and Mass method
Mass Point Geometry: Varingnon, Newton Line. Brahmagupta Theorem
มุมมอง 1.1Kปีที่แล้ว
CONTENT 0:00 - Varignon's Theorem 0:40 - Mass point geometry 1:45 - Newton line 3:02 - Brahmagupta theorem MORE BEAUTIFUL GEOMETRY 1) Fagnano's Problem: th-cam.com/video/9saHcJFk-r8/w-d-xo.html 2) Theorems of the 20th Century: th-cam.com/video/M73SAoFSmQc/w-d-xo.html 3) Fractal Geometry: th-cam.com/video/YkApFcYsP30/w-d-xo.html 4) Isoperimetric Problem: th-cam.com/video/42UAY_PHY0g/w-d-xo.html
Perfect Shape and Isoperimetric Problem
มุมมอง 2.7Kปีที่แล้ว
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 t...
The Sum of the First Cubes, Squares and More
มุมมอง 1.7Kปีที่แล้ว
Today we will consider geometric interpretations for the sum of squares and the sum of cubes of the first n natural numbers. Let's refresh our memory and other stories. And at the end there will be a question for true geometers! 0:00 - Cubes 1:25 - Odd Numbers 1:46 - Squares 3:33 - Pythagorean theorem 3:52 - Bonus 1 4:10 - Bonus 2 Proof by induction: th-cam.com/video/JiBd5yyYfUE/w-d-xo.html MOR...
Geometry in Animations. Fagnano's Problem
มุมมอง 3Kปีที่แล้ว
Today we will solve the Fagnano's problem! But first, let's look at other geometric theorems in animation: The Simson line, the astroid and a beauty construction with the orthic triangle 0:00 - Intro 0:15 - Circles dancing 0:52 - Astroid 1:40 - Simson line 2:14 - Beautiful construction! 3:10 - Fagnano's problem 5:10 - Answer MORE BEAUTIFUL GEOMETRY 1) Geometric Interpretations: th-cam.com/video...
The Beauty of Fractal Geometry (#SoME2)
มุมมอง 108K2 ปีที่แล้ว
The Beauty of Fractal Geometry (#SoME2)
It's a s*** cause I don't want to stick to her.I call her printer name.And of your butt and I know your butt and sick.And there are the earth and what is the difference between us and now you're an accent
Гуд видео👍
Idk the cube monster that destroys everything
wow amazing 😀😃it's mathematically great
YOOOOOOOOOOOOOO ITS TSC
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I dont think bro knows what a 24-cell is
More!
The video was good. But all throughout the video, that robotic voice was slightly.. Maybe use a human voice.
May I suggest having a more unique or descriptive channel name than "Geometry"?
Agreed! I want this amazing channel to have a name to it so sharing their content is easier.
But where in the world do all the math TH-camrs like you and 3blu1brown take those morphing animations of the words ?
As funções quadráticas usuais são funções com solução real, certo? isto é, eles estão dentro do conjunto (R). E do ponto de vista geométrico, uma função real normalmente é uma projeção de uma figura geométrica na terceira dimensão, ou seja, um R⁴..… entendido como R2(x,y) R3(x,y,z) e R4 (x,y ,z,r) um R4 tem dimensão 3 pois é 4-1= 3... de acordo com a teoria... então, O QUE estamos interpretando por exemplo quando estamos calculando uma função! quadrática que está em R2 mas é uma função com solução complexa? Quero dizer, é um R2? É um R3? ...é um R4? A resposta está na pergunta... NÃO SE LIMITE NAS SUAS RESPOSTAS Saudações! Ele os ama! ✨🤓👍🏻👁️🧠💪🌝💚🖤🖤❤️🍷😘✨
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5:17 also known as a Icositetrachoron.
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HUH? Why I hate math in 1., 2., 3., and 4. class? 😮
It's absolutely beautiful. I ask your permission to use your clips when translating into Vietnamese. I am a retired teacher and I would like to continue my passion for helping young Vietnamese people, many of whom do not speak English. Thank you in advance.
Hes second coming from animation vs physics 9:51
Noice 😊
For some reason im finding nobody talking about the damage done at 7:25 that "Octoplex" does to the Golden Pengaton. can you please explain it?, The damage effect i mean is the circles and effect further into the Pentagon than the actual damage. It seems different when you can see it again at 8:53, too
Good video 😊
the fern got thanos snapped
Damn.
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
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Actually it is called "arctic circle theorem" in france (because the center is the south pole. I think it is a french name as well). and both theorem are true for the north pole.
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0:40 Looks like a big man flexing his muscle
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That's is really awesome, you made it very simple and clear, Thank you
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in the background you also see the star or constellation by the light spots..
excellent work describing what is happening'''
I totally missed the EXIT glad I watched your video pointing me at it
Benoit Mandelbrot first wrote his name Benoit B. Mandelbrot, until one time he realized the B. was Benoit, then he invented the word fractal, then he created fractal theory, he learn beautiful stuff by just his name
Those oranhe character also known as The Second Coming (TSC) but its okay to call him orange, also the golden ratio also appeared on Animation vs Math also great explanation, I might get A on the exam this time
It's a tesseract
The music in background, I wounder what music is this could you tell me?
ɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸɸ
The villain is a 24-cell
Your voice makimg it a little confusing but i still enjoy