The Hyper Moser (and other Mega Numbers) - Numberphile
Numberphile
492,874 views
Tony Padilla explores the Mega and Moser. Check out the free trial from episode sponsor Brilliant - https://brilliant.org/numberphile --- More links & stuff in full description below ↓↓↓
Extra video from this interview on Numberphile2: Mega and Moser (extra footage) - Numberphile
Big numbers playlist: Big Numbers on Numberphile
Graham's Number playlist: Graham's Number on Numberphile
Tony Padilla is a professor at the University of Nottingham and author of “Fantastic Numbers and Where to Find Them” - https://amzn.to/3U6DRSM
Some extra Steinhaus and Moser links that might be useful...
https://googology.fandom.com/wiki/Ste...
https://sites.google.com/site/allamsn...
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20 Comments
If we wanted to physically make the smallest possible mega-gon, we could put space each vertex about 1 atom apart. This means the side length is about 1 angstrom, 10^-10 m.
The radius of an n-gon with side length L is L / 2sin(π/n) ≈ nL/2π for very large n.
If we wanted to make an n-gon with a diameter of the observable universe (9 x 10^26 m), we would need it to have about 5 x 10^37 sides.
But Mega is bigger than 10↑↑257. That's 10^10^10^...(257 ^s)...^10. Saying that we can't draw this is such a laughable understatement, I just needed to write about it 🤣🤣
Is it now, Padilla's Number?
1. Questions that demonstrate his curiosity. (9:47 ... "What about a Mega inside a circle?")
2. Questions that demonstrate his intelligence. (8:02 ... "Isn't Mega associated in physics ... seems like a poor choice of name.")
3. Not afraid to admit his limitations. (7:11 ... "Sure?" "No.")
The Hyper Moser (and other Mega Numbers) - Numberphile
Numberphile
492,874 views
Tony Padilla explores the Mega and Moser. Check out the free trial from episode sponsor Brilliant - https://brilliant.org/numberphile --- More links & stuff in full description below ↓↓↓
Extra video from this interview on Numberphile2: Mega and Moser (extra footage) - Numberphile
Big numbers playlist: Big Numbers on Numberphile
Graham's Number playlist: Graham's Number on Numberphile
Tony Padilla is a professor at the University of Nottingham and author of “Fantastic Numbers and Where to Find Them” - https://amzn.to/3U6DRSM
Some extra Steinhaus and Moser links that might be useful...
https://googology.fandom.com/wiki/Ste...
https://sites.google.com/site/allamsn...
Patreon: Patreon: numberphile
Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: Facebook: numberphile
Numberphile tweets: Twitter: numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Videos by Brady Haran
Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile
Brady's videos subreddit: Reddit: BradyHaran
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Extra video from this interview on Numberphile2: https://youtu.be/ADwK4BgwzP8