Fractal Figure Produced By Card Games.
In the last part of this section, we present a very interesting propery of these games. In the previous section, we studied Fractal pattern of Pascal's triangle.
(Remark:Fractal Figure Made by Pascal's Triangle)
Pascal-like triangles also make Fractal Figures. These Fractal Figures are made by the Game 1 in this section for s=1.
"p players take turns, and each player takes out a card in his or her turn. The player who takes out a red card will be the loser of the game."
In the following Fractal Figures are made by games for p = 4, 6 and 12 respectively.
![4人でプレイしたとき 4人プレイ](image/pascalp4.png)
![6人でプレイしたとき 4人プレイ](image/pascalp6.png)
![12人でプレイしたとき 4人プレイ](image/pascalp12.png)
If you divide numbers by 3 and use the remainder, then you have the following Fractal Figures
for p = 4, 6 and 12.
![4人でプレイしたとき 4人プレイ](image/pascalp4mod3.png)
![6人でプレイしたとき 4人プレイ](image/pascalp6mod3.png)
![12人でプレイしたとき 4人プレイ](image/pascalp12mod3.png)
As you see, the pattern changes as we change the number p.