2.1 Go-game Model (Rules)

"Go-game" is a popular stone puzzle game in Japan imported from ancient China.
"Go-game model" was originated by M. Ohtsuka in 1971 to investigate the background of 
"Gutenberg-Richter's Law", which is a famous relation between earthquake sizes and frequencies. 





-Preparation:
* A lattice printed-paper.
* A pencil: Maker's logo shows hit. 
(The probability of hits is 2/6 (p.p=0.33), see Fig.1).
This article uses "p.p" as a propagation probability.)

-Procedures:
1) A cell is chosen randomly with a star<*> 
 (start point of a fault break) (Fig. 2-a) 
2) Four nearest neighbors are numbered (Fig. 2-a).
3) Dice trial; hit plots O and blank plots X. 
 O means a break propagates while X means doesn't 
 (Fig.2-b). 
4) Sites surrounding O without any marks are 
 numbered for  next trial (Fig. 2-c).
5) The process is iterated until all sites are 
 surrounded with X (end of an "earthquake").
6) If our virtual earthquake "finished", then 
 an next earthquake will start. <Return to 1)>
7) After some practice time, the results of all
students are gathered and summed on a blackboard,
then are plotted on a log-log graph. 



Fig.1 A lattice paper and pencils 
     (Left shows hit, right shows blank).


Fig.2: Rules of Go-game model.