Four Players Color Coded Chess And Puzzles by Zhivan Krstich

On the present board, shown here above this column, it is not actual set up for a beginning of a game. It is the set up that is easiest to remember from which in few steps we will get any possible real set up for a beginning of a game.
On the present board we have:
at a group's 4 sides 
of each of 4 groups,
two chess pieces 
inspecting a space at a front, 
at 90 degrees to a each other's front of a chess piece 
                                    
at 4 corners of each of 4 groups
a chess piece looking away from a group's center 
                                    
at each of a group's center 
4 chess pieces looking at a group's center 
 
                                   
On the present board above color groups and signs are positioned as in this table:
                                    
16                            16
red-brown    blue-opaque
7  0 H 6    2 R 1 B
1 Q A 3    5 0 Q K
R K B 4    8 9 A H
2  5 8 9    7 4 3  6
                                    
6  3 4 7    9 8 5  2
H A 9 8    4 B K R
K Q 0 5    3 A Q 1
B 1 R 2    6 H 0  7
16                           16
yellow-yellow green-clear
Try editing in table above your own combinations of letters and numbers as per illus. at the right and RULES AND EXEMPTIONS.
Then you will end up 
with adding up one by one 
all possible of 48 different,basic, 
(64 chess pieces) set ups.
If we apply,
afterward,
in each one of 48 possible combinations, on their 
64 chess pieces for set up, 
the total of 
24 different combinations of four different colors x same 
24 different combinations of positions of 4 different  colors of four neighboring squares,
which is = 576 
48 x 576 = total which here represents number of sets of 
12 cubes on which 
each set will have one set up 
for beginning of a game  transfered with pictures of chess pieces on sides of cubes.
STEP ONE
In each of a color group 
there are 4 subgroups 
each with 4 chess pieces. 
In each subgroup 
4 chess pieces are turned at a same direction 
but different from directions of 4 chess pieces in other subgroups. 
Each subgroup has 
unique direction.
In the present situation 
of the picture 
of the present board above 
we will get 4 groups of 
16 chess pieces turned at a same direction 
by moving 
( into area of a group for a King's subgroup of 4 chess pieces, that are turned same direction ) 
3 remaining subgroups of 
4 chess pieces from 
other groups 
that are also turned at 
a same direction as 
a King's subgroup.
12 chess pieces will be moved into each of a color group.
These chess pieces will be positioned, from the present position on the board, onto a receiving color group square's corner  position for identical signs* see in above table;
 4 signs Q and then you will know where you would move any Queen (check others 4 same signs positions) from a group to a group, if need arrive. 
 
STEP TWO
Four colors of positions of 4 corners of each square on a board and 
a color of 4 directions of 
a front of a chess piece 
at each of 4 corners 
are dictated by positions of 
four colors 
of four groups 
and are identical to 
four groups' color positioning.
Corc = Dirc = Gruc = b,g,y or r 
There are 24 possible positions that these 4 groups' color can be, in relation to each other. 
On the present board; directions' colors equal 4 colors of the world;
blue, opaque = north,N   
green, clear = east,
E  yellow, yellow = south,S  red, brown = west,W
Knowing that, 
we can establish 
a four color combination for each of chess pieces for 
a set up.
 
We will view example of 
Yellow King's group and receiving subgroups and through them we will learn 
how to position and 
read color combination for an individual chess piece on 
this board or any / every individual chess piece on 
any other board for that matter.
Sign for King is K, 
color of sign K is equal to 
the color of the chess piece and it is yellow 
King's bottom part color is equal  to a corner color that King stands on at a set up
middle color 
is color of direction 
that chess piece is turned at
a set up 
top color = missing color from four possible colors.
 
Now we can position Yellow King properly as 
King yellow 
standing at red corner 
and turned at blue direction, missing green color is for it's top part. 
Therefore it's color combination = y r b g.
Three other chess pieces from Y King's subgroup will do the same movement and will become 
the same y r b g color combination.
Clear- green Queen with three pawns will move to Y King's group and be positioned on corresponding squares at yellow corners . They will be turned at red direction and they will have missing color blue for their tops. 
They will have different 
g y r b  color combination.
Opaque-blue RookA's subgroup will 
move to Y King's group 
they will be positioned at corresponding equal sign value position in the King's Y group. They will stand at green corner and will be turned at yellow direction 
and they will be having 
missing red color at their tops. 
They will have b g y r unique 
color combination.
Red Rook's subgroup will 
move to Y King's group 
they will be positioned at corresponding equal sign value in King's Y group.
They will stand at square's blue corner and will be turned at green direction , they will be having missing color yellow at their tops.
Their different and unique color combination will be 
r b g y .
For an actual game, mind you, 
all chess pieces 
must have a visible sign at a top of a chess piece.
We can see that combined with the table above 
these 4 different combinations of 
four colors 
were made with 
the respect to all 5 rules and 6 exemptions regulations 
( B1 G1 Y1 R1 ).
Plus 5 other set ups 
of 64 chess pieces, 
(with
preconfigured corner's positions and 
a direction of 
a front of a chess piece )  described with 
B6 G4 R3 Y2
B5 R5 Y5 G5
B2 Y6 R4 G3
B3 R2 G6 Y4
B4 Y3 G2 R6
6 x 64 chess pieces
equal to
384 unique positions for equal # of unique chess pieces shown each only once in these 6 set ups.
STEP THREE
Next step  is to see these 6 set ups 
as only 6 from  
24 x 24 different possible set ups of combinations of four colors positioned on 4 neighbouring squares.

The*=(beginning or end)
5  0 R 4    2 H A B
A Q 1 3     7 0 Q K
H K B 6     8 9 1 R
2  7 8 9     5 6 3 4          
.          The*
4  3 6 5     9 8 7 2
R 1 9 8     6 B K H
K Q 0 7     3 1 Q A
B A H 2     4 R 0 5
The*
R               x
6   x             x    x 
1         x
5                xx
B x             x        x
2                x
3        x x   
4                x
7                x       
8                        
9                  x
     b    g     y       r  
K                xx
Q                        x
A              xxx
H              xx      xx
0   xx           x       
P          x              x
   gyr yrb  rbg   bgy
------------------------------
12 cubes game with 64 chess pieces on the board and as many images that represent them on cubes. 
4 cubes in 3 games with 24 chess pieces on each board 
and 24 representations on each group 
of 4 cubes. 
6 Shapes' #s
represented on each cube are
6 king     step value   9
5 queen                      8
4 bishop, bishop0    2,3
3 rook, rookA           6,7
2 horse, horse1       4,5
1 pawn                   2 to 9
these #s on cubes instead of shape #, 
can represent pawn that belong 
to same # shape.
-----------------------------
On all cubes, 
opposite to king 
is rook shape,
opposite to queen,horse
opposite to bishop,pawn
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In Photosynths' blogs you can follow the process of recreating
TwistRollTumble Chess
in real time
-------------------------
I'm starting now
8:45 AM 2/26/2009
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And finishing now
9:37 AM 3/17/2009
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In this column additional
blog info, I would post
from time to time.
------------------------------
Multiple capture allowed,
at 
a chess move capture, 
of a chess piece image, on a cube, 
on all sides from 
all sides of all cubes.
24 chess pieces 
on the board, 
only an top image, 
on a cube, can capture.
Multiple capture 
not allowed of these
24 chess pieces.