Mathematical_Recreations-Kraitchik-2e

Games 291
Here are a few games. (W stands for White, B for Black,
+ indicates that the player wins, 0 denotes a draw, co means
that it makes no difference what the player does.)
W
)B I W B W B W B W B W B W B W B
5 5 8 2 5 2 5 1 5 1 5 1 5 1 5
8 2 1 9 8 9 6 7 6 7 2 3 9 8 3 2
3 7 7 4 1 4 3 9 3 2 7 9 2 3 8 7
8-9 co 1-2 co co 9-6 co 5--8 00 7-8 00 5-6 0:> 8-7 1-4 5--6
+ + + + + + + 0
1
~ r--
FIGURE 158. Quadruple Hopscotch Boa"d
I
FIGURE 159. Pettie Board.
There are many variations of this game. In one, known
in France as "les pendus" (literally, "the hanged"), the
pieces may be moved from any square directly to any other.
The game may still be drawn. Another variation is played
using 5 pieces of each color on the board (Figure 158) obtained
by forming a square from 4 ordinary hopscotch
square~. In this game 5 pieces of one color must be aligned.
The ancient Greek game pettie was played like hopscotch,
on a board of the form shown in Figure 159. Each player
had 5 pieces, which he placed on the five vertices on his edge
of the board. The players played alternately, each moving
one piece a step at a turn from vertex to vertex along the
lines of the board, and always toward the opponent's side.
If a player succeeded in surrounding an opponent's piece
with his own pieces, he removed it.