Rook starts at [0.5", 0.5"]
Knight starts at [1.5", 0.5"]
Bishop starts at [2.5", 0.5"]
Queen starts at [3.5", 0.5"]
King starts at [4.5", 0.5"]
Bishop starts at [5.5", 0.5"]
Knight starts at [6.5", 0.5"]
Rook starts at [7.5", 0.5"]
pawns starts at
Rook starts at [0.5", 7.5"]
Knight starts at [1.5", 7.5"]
Bishop starts at [2.5", 7.5"]
Queen starts at [3.5", 7.5"]
King starts at [4.5", 7.5"]
Bishop starts at [5.5", 7.5"]
Knight starts at [6.5", 7.5"]
Rook starts at [7.5", 7.5"]
pawns start at
The above diagram is a scaled down model of the board with initial array.
sqrt(n) is shorthand for the square root of n.
arctan(0.5) = (approx.) 26.565 or 206.565 degrees.
arctan(2) = 63.435 or 243.435 degrees.
arctan(-0.5) = 153.435 or 333.435 degrees.
arctan(-2) = 116.565 or 296.565 degrees.
0 degrees would be movement directly to the player's right, with 90 degress being movement directly forward.
The x or y position of a piece may never exceed 8, nor may it be less than zero.
Pieces must cease movement when their extent overlaps the center point of another piece. Since Knights leap, this limitation does not apply to Knight movement.
Friendly pieces cannot ever overlap their extent with another friendly piece's center point. This limitation does not apply to a Knight while it is moving, but does apply to the Knight when it stops moving.
Castling and en passant are not allowed.
Pawns may make an initial non-capturing move of up to 2.0" (90 degrees).
Players should not be allowed to make moves of a distance less than N, where N is of some 'significant' distance (eg. 0.1"). This would prevent players from making what amounts to NULL moves.
As a reader pointed out, a piece may end up capturing more than one piece with a single move. By my calculations (which should be taken with a large grain of salt), the Knight can capture up to five pieces at once, while the other types of pieces can capture up to three pieces.
It is impractical to attempt to play this game on a physical board with physical pieces. Ideally it would be played using a computer with a Graphical User Interface. Since visualizing moves would be extremely difficult, the computer program would have to show the user the possible movement paths of each piece.
The potential for variants of this game are enormous -- pieces of different shapes and sizes, elongated pieces, pieces which move along various curves, three dimensional movement, playing on various curved sufaces, etc.
Sword: Instead of being a circle, it's an isosceles triangle with a base of 0.2" and a height of 1". It's center point is at the midpoint of its bisecting line. The Sword can only move in the direction of its bisecting line. If it moves 'backwards' it cannot capture. It may also rotate on its center point any number of degrees, between, but not including zero and 360 degrees.
Flea: A 0.1" radius piece. It leaps 45, 135, 225 or 315 degrees, any distance, but can only land at 0.5" intervals.
With the above rule, no piece may ever achieve an x or y position of 0 or 8.