**
STATISTICS OF BASIC
LAYPUTS IN THE STANDARD **

**
GEOMETRIC CHESS**

*
Please note that here we only
display the basic layouts and the calculation of points must depend on which
side making the last move to create and correlate the number of pieces
involved in the layout (according to the rules of the game). There is no
mention of polymorphic layout here.*

**1. Straight line layout using the Axis piece** (H.01).

* 1 Axis piece
+ 2 Point
pieces

* 1 Axis piece
+ 3 Point
pieces

* 1 Axis piece
+ 4 Point
pieces

* 2 Axis pieces
+ 1 Point
pieces

* 2 Axis pieces
+ 2 Point
pieces

* 2 Axis pieces
+ 3 Point
pieces

* 2 Axis pieces
+ 4 Point
pieces

(Axis
piece position may be at the beginning, the end or in the middle of the
segment, the Point pieces may be swapped. Straight lines may lie on the
vertical axis or horizontal axis of the chessboard).* *

*
Figure 01*

** 2.
Straight line with equal
distance using Cross piece (F.02)**

* 1 Cross piece + 2
Point
pieces

* 1 Cross piece + 3
Point
pieces

* 1 Cross piece + 4
Point
pieces

* 2 Cross pieces + 1
Point
pieces

* 2 Cross pieces + 2
Point
pieces

* 2 Cross pieces + 3
Point
pieces

* 2 Cross pieces + 4
Point
pieces

*(Cross
piece position may be at the beginning, the end or in the middle of the
segment, the Point pieces may be swapped. Straight lines may lie on the
located on a diagonal of
the chessboard ).
*

*
Figure 02*

** 3.
Triangular layout with three
chess pieces** (F
03 & F
04)

* 1
Triangular piece
+ 2 Point
pieces

In
this case, the position of Triangular piece and Point pieces can be
exchanged freely.

* 1
Square piece
+ 1 Cross piece + 1
Point piece

*In this
case, the positions of the Cross Pieces and **
Point
Pieces can be swapped for each other, while the Square
Piace
must be at the top of the triangle. The
hypotenuse of the triangle must be on
the diagonal of the chessboard.*

* * 1 Square
Piece
+ 1 Axis Piece
+ 1 Point
Pieces*

* In this
case, the position of the Axis
Pieces
and the
Point
Pieces can be swapped and the Square
Piece
must be at the top of the triangle. The
hypotenuse of the triangle must lie on a vertical axis or horizontal axis of
the board.*

*
Figure 03*

* 1
Acute piece
+ 1 Cross piece + 1
Point piece

In this case, the Axis piece must be positioned at one of two acute corner
tops of the triangle, while the Axis piece and the Point Piece may lie
arbitrarily at the other two peaks. *
The hypotenuse of the triangle must lie on a
vertical axis or horizontal axis of the board. *

* 1 Acute piece+ 1 Axis piece + 1 Point Piece

In this case, the Acute piece must be positioned at one of two acute corner
tops of the triangle, while the Axis piece and the Dot Piece may lie
arbitrarily at the other two peaks. *
The
hypotenuse of the triangle must be on
the diagonal of the chessboard.
*

* 2 Cross pieces + 1 Axis piece

In this case, the Axis piece must be positioned at one of two acute corner
tops of the triangle, while other Cross pieces may lie arbitrarily at the
other two peaks. *The hypotenuse of
the triangle must lie on a vertical axis or horizontal axis of the board. *

* 2
Axis piece
+ 1 cross piece

* * *
In this case, the Cross piece must be positioned at one of two acute corner
tops of the triangle, while other Axis pieces may lie arbitrarily at the
other two peaks. The
hypotenuse of the triangle must be on
the diagonal of the chessboard.
*

*
Figure 04*

** 4**.**
****Square layout
with 4 chess pieces
**(F
05 & F
06)

* 1 Quadrilateral piece+ 3
Point
pieces

* In this case,
the positions
of the chess pieces can be arbitrarily swapped, the edges of the square can
be located on the longitudinal axis and the horizontal axis or on the
diagonal axis of the chessboard.*

* 1
Square piece
+ 2 Axis pieces
+ 1 Point
pieces

* In this case,
the edges of the square can only lie
on the vertical and horizontal axes of the chessboard and the chess pieces
can be swapped for each other.*

*
Figure 05*

* 1
Square piece
+ 2 Cross pieces + 1
Point piece

* In this case,
the edges of the square can only lie
on the diagonal of the board, while the chess pieces can be swapped for each
other.*

* 2
Square pieces
+ 2 Point
pieces

* In this
case, two Square pieces
must be placed symmetrically at two
vertices of the square. The
edges
of the square can be located on the longitudinal axis and horizontal axis or
on the diagonal of the chessboard.*

*
Figure 06*

** 5.
****Round layout with 4 or
5 chess pieces **(F 07)

* 1
Round piece
+ 3 Point
pieces

* 1
Round piece
+ 4 Point
pieces

* **
In the case of round layout,
the position of Round piece is always at the center of the circle, the Point
pieces can be swapped for each other, the radius of the center with the
points can be located on the vertical axis & horizontal axis or on the
diagonal of the chessboard.*

*
Figure 07 *

*****

** Next **

Prelimittary introdution of 12 beginning
moves in Simple geometric chess

**
Pr****elimittary
introdution of 12 beginning moves in Standard geometric chess**