The Mathematics of Sprouts - Survivors, Guards, Pharisees, a Moribundity Equation and some Strategy
Some interesting analysis of John Conway's paper-and-pencil Sprouts game: minimum and maximum bounds for number of moves; an explanation of the terms lives of a dot, live and dead dots, survivors, guards and pharisees; the strategy tree for the 2-dot game; an explanation of the Sprouts Conjecture with a current update on winning strategy results.
Many of the ideas are illustrated by a particular 4-dot Sprouts game.
Names of people mentioned: John Conway, Mike Paterson, Denis Mollison, Josh Jordon, Julien Lemoine and Simon Viennot.
Winning Ways for Your Mathematical Plays - Berlekamp, Conway & Guy
If you enjoyed watching this video please "like" it and "subscribe" to my channel @mistercorzi.
Chapters
0:00 Intro
0:40 A Typical 4-Dot Sprout Game
1:30 Establishing the 3n-1 Upper Bound for m
8:20 The variables s, d, g and φ
9:55 Discussion about Guards
12:27 Derivation of the Moribundity Equation
15:30 Establishing the 2n Lower Bound for m
17:11 Corollaries of the Bounds
19:05 Strategy Tree for 2-Dot Sprouts
24:33 Which Player has a Winning Strategy?
27:32 The Sprouts Conjecture
29:10 Current Position re Conjecture
29:38 End Links
-
41:05
Standpoint with Gabe Groisman
10 hours agoEp. 35. Saluting our Troops this Independence Day Weekend. Vice Adm. Herman Shelanski, USN (ret.)
63.5K16 -
45:54
The Why Files
17 hours agoHumans vs Superhumans | When Monsters Were Real and We Almost Went Extinct
67.1K82 -
23:03
TimcastIRL
10 hours agoBill O’Reilly Says Biden Will DROP OUT, Tucker Carlson Says Obama Wants Biden GONE
93.2K270 -
30:30
Stephen Gardner
1 day ago🔴BREAKING: Trump Trashes Biden while welcoming Kamala Harris
174K362 -
3:18:11
Fresh and Fit
23 hours agoBody Count Matters ONLY For Women. Change My Mind.
176K176 -
8:00
Adam Does Movies
1 day agoKILL Movie Review - Get Off The Train Already!
78.3K4 -
6:11
Praxis Homesteading and Survival Skills
1 day agoNo One Puts Solar Panels Here... But they SHOULD!
79.4K68 -
6:58
scoutthedoggie
1 day agoAirsoft War Games at The Fort Scotland
72.8K2 -
3:01
Hack
1 day ago3 Ideas about making DIY gadget projects for a smartphone
72.7K16 -
13:35
RealReaper
17 hours agoThe Acolyte Episode 6 Nothing Happens
53.2K10