Check out Janggi (Korean Chess), our featured variant for December, 2024.


[ Help | Earliest Comments | Latest Comments ]
[ List All Subjects of Discussion | Create New Subject of Discussion ]
[ List Earliest Comments Only For Pages | Games | Rated Pages | Rated Games | Subjects of Discussion ]

Single Comment

Chess Geometry[Subject Thread] [Add Response]
Charles Gilman wrote on Sun, Nov 17, 2013 08:02 AM UTC:
The Dabbaba is not a counterexample as it has an even SOLL, namely 4, and my conjecture specificed odd SOLLs. The point about the pieces with SOLL 49 is that their leaps, though the same length, are to different destination cells relative to a starting cell. The following diagram shows this. Routes c and d lead to the same destinations but route b leads to a different one where:
@=statring cell
#=destination cell
a=intersection of b and c
b=7 orthogonal steps
c=1 orthogonal followed by 4 diagonal
d=4 diagonal folloewd by 1 orthogonal 
 ___     ___     ___     ___     ___
/ . \___/ . \___/ . \___/ . \___/ # \
\___/ . \___/ . \___/ # \___/ . \___/
/ . \___/ . \___/ d \___/ . \___/ b \
\___/ . \___/ . \___/ . \___/ . \___/
/ . \___/ . \___/ . \___/ c \___/ b \
\___/ . \___/ . \___/ d \___/ . \___/
/ . \___/ . \___/ . \___/ . \___/ b \
\___/ # \___/ . \___/ . \___/ c \___/
/ . \___/ b \___/ . \___/ d \___/ b \
\___/ . \___/ b \___/ . \___/ . \___/
/ . \___/ . \___/ b \___/ . \___/ a \
\___/ . \___/ . \___/ b \___/ d \___/
/ # \___/ c \___/ c \___/ a \___/ a \
\___/ . \___/ . \___/ . \___/ a \___/
/ d \___/ d \___/ d \___/ d \___/ @ \
\___/ . \___/ . \___/ . \___/ . \___/