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75,356 Views • Apr 4, 2024 • Click to toggle off description
If you like this video, consider subscribing to the channel or consider buying me a coffee: www.buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a standard way of computing areas of regular polygons by triangulating and using trigonometry.
For other proofs of this fact see:
• Area of a Regular Dodecagon | Proofs ...
• Area of a Regular Dodecagon III (visu...
• Area of a Regular Dodecagon II (visua...
• Area of a Regular Dodecagon (visual p...
• Regular dodecagon area (visual proof ...
• Area of dodecagon from a square!
• Beautiful dodecagon dissection
#math #manim #visualproof #mathvideo #geometry #mathshorts #geometry #mtbos #animation #theorem #pww #proofwithoutwords #proof #iteachmath #dodecagon #area #dissection #trigonometry #polygon
To learn more about animating with manim, check out:
manim.community/
Views : 75,356
Genre: Education
License: Standard YouTube License
Uploaded At Apr 4, 2024 ^^
warning: returnyoutubedislikes may not be accurate, this is just an estiment ehe :3
Rating : 4.837 (150/3,532 LTDR)
95.93% of the users lieked the video!!
4.07% of the users dislieked the video!!
User score: 93.90- Overwhelmingly Positive
RYD date created : 2024-07-07T05:05:17.856972Z
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57 Comments
Top Comments of this video!! :3
bro dropped the hardest math edit of all time and thought we wouldn't notice
81 |
Directed by Michael Bay
114 |
Area for a circle with Radius 1:
Pi times r(squared)
3.14 times 1 times 1
=3.14
The dodecagon's area ends up being 3, which is only 0.14 less than Pi.
The Dodecagon visually fills MOST of the circle, so this is a good confirmation that the calculation is correct.
One fun thing to think about is that the SPACE between the Dodecagon and the Circle is literally Pi without the 3.
45 |
This proof made me happy
15 |
When pi IS 3
113 |
Excellent explanation and soundtrack 👌
9 |
That is cool :D do next a 15-gon or pentadecagon
4 |
Thank you,sir
3 |
When you take the crust off of a Pi…
2 |
this is not a video i would expect to have linkin park as a backing track but i am not complaining
5 |
Another evaluation comes from decomposing a regular decagon into squares and triangles around a hexagon, or 6 squares and 12 equilateral triangles, all with the same side length. In combination with this argument, you get an evaluation of the side length of an inscribed decagon. If s=2 sin(15 degrees), then (6+3sqrt3)s^2=3 so sin(15 degrees) = sqrt(2-sqrt(3))/2.
1 |
It’s weird how it’s close to pi and looks like a circle
7 |
How do they make this kind of animation
1 |
Oh I like the backround music. Linkin Park ❤❤❤
2 |
pls do 3D versions of these!
1 |
Is that Linkin Park?
8 |
Right, 3 is a pretty good approximation of pi.
2 |
Can someone explain to me what is happening here?
2 |
Woah
5 |
@Blocky_Frog
7 months ago
These bouncing ball videos are getting pretty complex
267 |