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Date : 1732225761926 - unknown on Apple WebKit
Mystery text : VDJNaTBBVUlLSlkgaSAgbG92ICB1IGV1LXByb3h5LnBva2V0dWJlLmZ1bg==
143 : true
19,572 Views • Aug 30, 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 (more dramatic) of this animation see
• Geometric Series: sum of powers of 1/...
Also, check out my playlist on geometric sums/series: • Geometric Sums
This animation is based on a proof by James Tanton from the March 2008 issue of The College Mathematics Journal page 106. (www.jstor.org/stable/27646594).
#mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #geometricsums #series #infinitesums #infiniteseries #geometric #geometricseries #pentagon #trapezoid
To learn more about animating with manim, check out:
manim.community/
Views : 19,572
Genre: Education
License: Standard YouTube License
Uploaded At Aug 30, 2024 ^^
warning: returnyoutubedislikes may not be accurate, this is just an estiment ehe :3
Rating : 4.83 (65/1,461 LTDR)
95.74% of the users lieked the video!!
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User score: 93.61- Overwhelmingly Positive
RYD date created : 2024-09-26T02:44:17.919871Z
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49 Comments
Top Comments of this video!! :3
These math visualizations are really cool! Thanks for the videos, keep on making them.
36 |
do you know that i learn more math in here than entire high school and university combined....thanks man...
5 |
Point (n-1) repeating indevinitely is always n.
4 |
Amazing content I saw one video of yours once and I started following you from that date definitely worth it.❤
10 |
This visual proof only works because we're working on areas here, and because the "area" function is a (Lebesgue) measure. This wouldn't work with perimeters for example (as is the case with the famous π=4 false proof explained on this channel)
1 |
Perfect
5 |
Infinite sum of one sixth, Tends to be close to one fifth.
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Beautiful
4 |
Simple proof that the trapezoids equal 1/6 also…. There are five of them all equal in area and the remaining area is 5/6th. So by symmetry, each must also be 1/6th of the original pentagon
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🔥
2 |
Please sir explain to me where did (0.55555) come from? Please reply
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(0.55555...)6=1
1 |
How did u learn manim
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Isnt this a geometric series
3 |
these videos teach the pattern that (x÷(x+1))+(x÷(x+1)^2)+(x÷(x+1)^3)+...=x÷x=1
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Y
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First comment😊. And very good
4 |
So…, what you’re saying is a “the” pentagon is Area 51.😂
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What if i=1 ?
3 |
@notmynameaaaaaaaaaaaaaaa
2 months ago
0.nnnnn… = 1 in base (n+1), for every natural number n greater or equal to 1
89 |