Welcoem to posts!!
in the future - u will be able to do some more stuff here,,,!! like pat catgirl- i mean um yeah... for now u can only see others's posts :c
Did you see the big news last week (confirmed today)?!? A new Mersenne prime just dropped, 2^(136279841)-1, and so that means a video I made last year is now out-of-date (since it references the last largest known Mersenne prime). But it still might be worth a watch if you are interested in Mersenne numbers, perfect numbers, and the connection between them. To learn more, see www.mersenne.org/
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Hey fans of mathematical visualizations,
Check out this awesome video I just watched about higher dimensional polytopes:
https://youtu.be/Qk5IEmTrYeM?si=tGlgM...
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Is Pi times the golden ratio greater than or less than 5? The icosagon has an analytic solution:
https://youtu.be/N27zmAjIU2Y?si=dh0Hp...
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Been busy with work and have had a tough time keeping up with animating but had time to put together a new compilation of geometric series dissections (based on a series of shorts I have done over the past year showing that 0.bbbb... = 1 in base b+1): https://youtu.be/gN4EFwF5Hro.
This compilation is different than a previous one (there is minor overlap) : https://youtu.be/JteQEN1XPyc
Which compilation do you like better?
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Have had many of you ask for a visualization that 1 + 2 + 3 + ... = -1/12. Most recent video is my best attempt. Hope you enjoy it. Thanks as always for watching!
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Hi Visualizers!
Been busy the last few weeks with relocating and various other responsibilities so I wasn’t able to post much. Still busy with work, but I found time to get a new double angle identity video out today. Have a watch and let me know your thoughts. Thanks!
https://youtu.be/f-kGtZlUpX4?si=st2Ov...
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Posted a bit of a whimsical short today inspired by the video game Mortal Kombat: youtube.com/shorts/eXVAU_ExDy...
While this one is just to bring levity to math, I am wondering if there is interest in a longer video describing more how all the constants in the video are related to the visualizations. Let me know! And let me know your favorite of these ten constants in the comments.
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In the new video today, I posted a challenge at the end of the video, but there is a secret. The "rotation" proof doesn't work in general (watch closely in the last animation to see why), but there is still a nice way to compute the geometric series in the rectangle... can you figure it out?
https://youtu.be/TT4-VWjyozY
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What's the base ten representation of the number (4,3,2,1)_! written in the factorial number system? See this video (https://youtu.be/FE0Vl4zm20I ) to learn more.
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I animate and provide some explanation for classic and newer "proofs without words," which are typically diagrams without any words that indicate how a theorem could be proved.
I often pay homage to Proofs Without Words by including some animations without narration (only dramatic music :) ). I have also noticed that while there are many wonderful visual proofs available on YouTube, most of the creators do not credit the original visual proofs. I will do my best to include links and citations for each visual proof so that you can track down the original static images, which have a beauty and a wonder all their own.
I create my animations using the amazing software Manimgl from 3Blue1Brown.
If you want to buy me a coffee, you can do that here:
www.buymeacoffee.com/VisualProofs