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Elwyn Berlekamp
เข้าร่วมเมื่อ 19 ธ.ค. 2011
Ichess 5 and 1/2: N and His Grundy Table
This video serves as a more in-depth explanation of the Knight's Grundy Table seen in Ichess 5.
มุมมอง: 1 155
วีดีโอ
Ichess 8: Bouton's Solution of NIM
มุมมอง 1.4K7 ปีที่แล้ว
In this eighth video of the Impartial Chess series, we prove Bouton's Theorem and discuss it's relevance to the game of NIM.
Domineering 3: Reflections and Decompositions
มุมมอง 1.1K7 ปีที่แล้ว
In this third video of the Domineering series, we explore reflections, decompositions, and finding mistakes in the gameplay.
Domineering 2: Inequalities and Negatives
มุมมอง 2.6K7 ปีที่แล้ว
In the second video of the Domineering series, we explore partitioning the board, comparing with zero, outcomes of the game, and rotations.
Ichess 7: Binary Numbers and Bouton's Discovery
มุมมอง 8067 ปีที่แล้ว
In the seventh video in the Impartial Chess series, we discover Bouton's Theorem and review the concept of binary numbers.
Ichess 6: R + r
มุมมอง 6127 ปีที่แล้ว
This sixth video in the Impartial Chess series covers the game of Big Rook Baby Rook.
Ichess 5: K + r, N + r, and Mex
มุมมอง 8987 ปีที่แล้ว
In the fifth video in the Impartial Chess series, we explore the games of King Baby Rook, Knight Baby Rook, and discuss the concept of the minimal excludant. To see how we found the Knight's Grundy Table at 6:33, watch Ichess 5 1/2: th-cam.com/video/X3M7vhh2T_g/w-d-xo.html&index=6
Ichess 4: R, r, B, rr and Their Grundy Numbers
มุมมอง 1.5K7 ปีที่แล้ว
The fourth video of the Impartial Chess series covers the Big Rook, Baby Rook, Twin Baby Rooks, and the Bishop.
Impartial Chess 3: K + N
มุมมอง 1.3K7 ปีที่แล้ว
In the third video of our Ichess series, we look at the game of King Knight.
Impartial Chess 2: N
มุมมอง 1.7K7 ปีที่แล้ว
In Part 2 of the Impartial Chess series, we explore the impartial, green Knight.
Impartial Chess 1: K
มุมมอง 4.4K7 ปีที่แล้ว
An introduction to the game of Impartial Chess, beginning with the green, impartial King.
Domineering Part 1
มุมมอง 6K7 ปีที่แล้ว
This video is an introduction to Domineering, a two-person game played with dominoes. Part two can be found here: th-cam.com/video/UWO6mUvaw74/w-d-xo.html
Hackenbush Part 2: Infinitesimals
มุมมอง 3.5K7 ปีที่แล้ว
In this video, we continue our exploration of Hackenbush and learn more about winning strategies and theories.
Hackenbush Part 1: Inequalities
มุมมอง 6K7 ปีที่แล้ว
In this video we will explore a game called Hackenbush, in which players take turns cutting colored branches. Part Two: th-cam.com/video/RyleFnzAnoA/w-d-xo.html
Dots and Boxes Part 1: Double-Dealing
มุมมอง 2.5K7 ปีที่แล้ว
This video provides an introduction to the game of Dots and Boxes. Part Two: th-cam.com/video/ncqa8JxJJ1M/w-d-xo.html
Rest in peace
A shame more people didn't see this sooner. Great last video from Numberphile.
This seems like the most complex grundy table so far. Is there an elegant way to describe the pattern?
RIP Elwyn ;-;
Rip
Check out boardgamegeek.com/boardgame/2125/amazons for some more information on this game.
Elwyn Ralph Berlekamp September 6, 1940 - April 9, 2019 _requiescat in pace_
RIP , you will be missed
"Part 1" Ugh that cuts deep. Rest in Peace
RIP
Rest in peace Elwyn
Thank you Elwin for your work
RIP
Rest in peace, mr. Berlekamp. Your fascination with this game is inspiring - I will make sure to play this with my friend today. Peace and blessings.
Can you make video on nimber values of nimstring graphs.
Is mex() the same as inf() ..?
Sup No, for finite sets inf() is the minimum. But mex() is the minimum number excluded. So for {0,1,3,5} the mex is 2, though the inf/min is 0.
شكرا لك
شكرا جزيلا
Dear Prof. Berlekamp, your videos are precious and delighting! I had the honour to be the 12th viewer for many of them. I have a question, at 4'51 how can blue win? Is not red that wins? Just to introduce myself, I am a populariser/communicator of maths and games (cescoreale.com/en/giochi and cescoreale.com/en/matematica/), I coorganise the Italian Festival of Mathematical Games (www.tuttoenumero.it/lang/tutto-e-numero-english/), I collaborate with the Swiss Museum of Games (www.museedujeu.ch) and I created a workshop on maths and games, named Ludyssey (cescoreale.com/en/project/ludyssea-viaggio-matematico-tra-i-giochi-antichi/).
I love this - looking forward to watching the rest :) Thanks Elwyn!