Watch my newest video, “Do You Really Know ANYTHING? ft. Neil deGrasse Tyson”:
To get MSCHF’s drops early and access secret drops, download their app here
Thanks to MSCHF for supporting Vsauce2!
Conway Checkers (proof), Numberphile2 | Zvezdelina Stankova:
Conway’s Soldiers Interactive Game (Clever Learning):
John Conway’s work stretched from nearly-inaccessible math theory to fun children’s games, and it defined how we thought about recreational mathematics in the 20th century. Conway’s Soldiers is the perfect example of a Conway-esque math game: the rules are simple, the gameplay is easy, and it becomes very hard very quickly… and in this case of a basic checkers game, it packs a surprising punch of becoming literally impossible for a reason that isn’t even close to obvious.
But the mathematical importance doesn’t end with an unexpected reveal of impossibility. Conway found that the secret to *why* it’s impossible depends on the Golden Ratio of 1.618, which has fascinated mathematicians since Pythagoras and Euclid. We see the Golden Ratio in aesthetically-pleasing magazine layouts, flower patterns, and pretty faces, but John Conway showed us that it’s at the heart of why we can’t reach the fifth row of a checker game.
Play the game yourself with the online simulator and check out Zvezdelina Stankova’s proof on Numberphile. It’ll make sense. John Conway may be gone now, but we’ll be playing his games and poring over his ideas for centuries.
*** SOURCES ***
Berlekamp, E. R.; Conway, J. H; and Guy, R. K. “The Solitaire Army.” In Winning Ways for Your Mathematical Plays, Vol. 2: Games in Particular. London: Academic Press, pp. 715-717 and 729, 1982.
Honsberger, Ross. “A Problem in Checker Jumping.” Ch. 3 in Mathematical Gems II. Washington, DC: Math. Assoc. Amer., pp. 23-28, 1976.
Tatham, Simon and Taylor, Gareth. “Reaching Row Five in Solitaire Army.”
plus magazine, “Mathematical Mysteries: The Solitaire Advance.”
Bell, George. “The Peg Solitaire Army.”
Bell, Hirschberg, Guerrero-Garcia. “The Minimum Size Required of a Solitaire Army.”
Taylor, Jasper. “Conway’s Soldiers.”
John Conway’s obituary, New York Times:
Roberts, Siobhan. “Genius at Play: The Curious Mind of John Horton Conway” (2015).
*** LINKS ***
Vsauce2:
Twitter:
Facebook:
Talk Vsauce2 in The Create Unknown Discord:
Hosted and Produced by Kevin Lieber
Instagram:
Twitter:
Podcast:
Research and Writing by Matthew Tabor
Editing by John Swan
Huge Thanks To Paula Lieber
“Binary Max Escape” by Basswaite:
Select Music By Jake Chudnow:
Get Vsauce’s favorite science and math toys delivered to your door!
Get Vsauce2’s Woven Math t-shirts/hoodies:
#education #vsauce2 #math
Nguồn: https://ganeshotsavam.org
Xem thêm bài viết khác: https://ganeshotsavam.org/game/
All Comments
I created my own game I don't know the name but it's really easy to play but really hard too win
fk fk
Kevin vsause here
"get ready to social distance your heart out"
me: that aged well
then i see upload date
me: oh
Was I the only one who didn’t know that solitaire wasn’t JUST the card game?
give this problem to an AI and let it run for a month or two unsupervised
"It’s like trying to invade Russia in winter"
Actually literally everybody invaded in summer, but fought until winter.
Забавно 😀
That ending is beautiful ; ~ ;
This man is CEO of “Right? WRONG!”
9:50 is that a jojo reference on stell ball run
wheres the link
Social distance, heh.
Whats with his right, wrong all the time. At first it was a bit of an jumpscare when he said it
if you are allowed to jump diagonally you can get someone to row 5 with 14 checkers
Could you do it if you could move diagonally?
“It’s like trying to invade Russia in winter…” “…Impossible.”
idk i drew a board 10 pages long and i got pretty close i had one on 4 and one on 2
My friend beat it and idk how
My life is solitaire
Hahaaaaaaaaaaa depression fuuuuuunnnnny
9:16
The maths were thought by god ti be these… To be beautiful… Vsauce. . incredible
Extend our Vsauce t(w)o empire
Well, the title was right. This made no sense.
You could've just said that moves is 2^n – 1
There is a solution to level 5….
“Not my thing “
Why do you never explain it in the end, it’s frustrating and confusing…
I did it
The board you linked to isnt big enought, but theoretically, given an infinintly long 5 wide space, you can get any distance Ill try to make a visual proof, but i believe I have found the solution
It's possible to invade Russia during winter, just not from the west