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143 : true
331,216 Views • Jun 17, 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!
For a longer, wordless version of this animation with two other proofs, see • Three Geometric Series in an Equilate...
Also, check out my playlist on geometric sums/series: • Geometric Sums
This animation is based on a proof by Stephan Berendonk (2020) from the November 2020 issue of The College Mathematics Journal, (doi.org/10.1080/07468342.2020.1830649 p. 385)
#mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #geometricsums #series #infinitesums #infiniteseries #geometric #geometricseries #equilateraltriangle
To learn more about animating with manim, check out:
manim.community/
Views : 331,216
Genre: Education
License: Standard YouTube License
Uploaded At Jun 17, 2024 ^^
warning: returnyoutubedislikes may not be accurate, this is just an estiment ehe :3
Rating : 4.916 (467/21,674 LTDR)
97.89% of the users lieked the video!!
2.11% of the users dislieked the video!!
User score: 96.83- Overwhelmingly Positive
RYD date created : 2024-11-21T18:51:31.3299Z
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315 Comments
Top Comments of this video!! :3
0.nnnnn... = 1 in base (n+1)
1.1K |
I thought it was Pink Floyd at first
421 |
Usually we use the formula
S = a_1 / (1 – r) but the visual proof makes it much easier to understand with the eye and I'm glad you can help others understand it more easily
138 |
I have never been as much satisfied by a visual proof than this. My god did it look beautiful when the 6 triangles folded over to reveal themselves.
17 |
By reading the title, I was gobsmacked, collaterally dumbfounded and rendering my prime knowledge of math into shreds.
42 |
Love this! I only wish YouTube didn't cover the bottom of the video
92 |
Yet another math video where you lose me after 5 seconds 😂
6 |
"Start by trisecting the three sides"
Me with a straightedge and compass:
2 |
Omg I love these. I always was a visual learner. Numbers just are language I don’t speak. Awesome. I’ll maybe learn a bit too.
6 |
I got used to counting in different bases whilst arguing with Tesla conspiracy theorists. Its easier with even numbers, but so long as you avoid the extremes, 0.(one less than the base number, recurring) is always equal to one.
In base 6, 0.555• = 1. In base 12, 0.¤¤¤• = 1
Fun fact, Tesla's magic triangle disappears if you consider other bases. Generally, you want a principle to be consistent however you count. It's really the + and - that do all the heavy lifting in mathematics, not numbers
1 |
This comes down to a geometric series: (6÷7)÷(1-1÷7)=1
2 |
New Roblox logo just got leaked
11 |
Best representation
22 |
Love listening to these videos. I don’t learn or retain any of it but it seems pretty interesting.
1 |
Very, Very Nice depiction of the formula - makes it come to life! (so to speak).
1 |
Sigma means sum? If that’s all I learned today…
13 |
I love it when math makes you second guess reality.
1 |
underrated
2 |
This is why i hate supertasks
6 |
@tylosenpai6920
5 months ago
...At this rate, you should be using a hexagon...
1.6K |