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.
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.