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Subsections
2.3 Tiers
The board is divided into four Tiers (or ``levels''), each of which
constitutes an implied square on the playing board.
The descriptions in the rest of this section refer to
Figure .
Figure:
An Illustration of the Game's Four Tiers
|
A space is said to be in the Center Tier if the
center of the board is one of its corners. The Center Tier
contains sixteen spaces.
Any space which is not in the Center Tier, but which shares
all of its corners with some space sharing at least one
corner with a space in the Center Tier is said to be
in the Second Tier.
Formally, for a space , is in the Second Tier
if and only if for every point which is a corner
of , there exists a point and spaces
and such that is a corner
of , is a corner shared by both
and ,
and is in the Center Tier.
In most cases, .
The Second Tier contains thirty-two spaces.
A space is said to be in the First Tier if it is neither
in the Center Tier nor in the Second Tier, and if it shares at
least one corner with some space in the Second Tier. The First Tier
contains thirty-two spaces.
A space is said to be a member of the Rim Tier, or ``on the Rim''
if one of its borders is an edge of the board itself.
The Rim contains twenty-four spaces, four of which also belong
to the First Tier. These four triangular spaces are known as
``ambiguous'' spaces.
Next: 3 Concerning the Playing
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Bryan Jurish
Thu Dec 6 02:01:15 CET 2001