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.

If you divide numbers by 3 and use the remainder, then you have the following Fractal Figures

for p = 4, 6 and 12.

As you see, the pattern changes as we change the number p.