ENDA

What is ENDA

A game played in a 4 dimensional space.

How To Play

There are two players taking turns.
The board is a 4D where pieces can be moved around.
A piece can capture another piece by moving into the position it occupies.
You can win the game by capturing the other player's king.

Controls

Hold mouse left click to move the camera around If it is your turn to make a move:

Select a piece by clicking on it
It will show possible move using green boxes
Click on a Green box to to move the selected piece to that position
It is now the other players turn

If a piece is red you can move the current piece into that position to capture it

How do I understand what I'm seeing?

Start with a chess board:

it is a 2D space
it has discrete positions, in that there is no half spaces. A postions must be 1 or 2, not 1.67
it has 2 axis, ( lets call them x and y )
it has 8 places in the x axis and 8 in the y axis

If we extend this to the 3rd dimension we just we add a new axis, z
To represent the position in this space, we add another chess board for each position in the 3rd axis, so that's 8 chessboards.
If we stack these chess boards, we get a chess board 'cube', which our minds are happy you work with.

To make this work with a 4th dimension we just add another axis, say, t
To represent the position in this space, we need to add a cube for each possible value in the 4th axis, so that's 8 cubes.
That's a lot of cubes, so we make the size of each axis, 4.
We now have a 4 by 4 chessboard, stacked 4 times to make a chess cube, then we make 4 cubes to show the 4D position.

Piece types and movement

There are 4 types of pieces at the moment

castle: moves like a castle in chess, any number of spaces in a single axis
bishop: moves like a bishop in chess, any number of spaces in any combination of 2 axis
king: moves like a king in chess, one space in any direction, including axis combinations ( diagonal )
knight: moves like a knight in chess, moves in 2 axis, 1 space in one axis and 2 spaces in the other, with any combination of axis ( good luck )

Notes:

We can make this 5D by considering 4 cubes a row, and making 4 rows. ( 16 cubes )
We can make that 6D by considering the cube rows a column, and making 4 columns. ( 64 cubes )
We can then make that 7D by making a cube out of the cube rows and columns, etc... but it's hard to navigate at that point

A piece on a chessboard only collides with another piece if they have the same postion, ie. the x and y co-ordinate is the same.
That means for 3D the z co-ordinate must also be the same, and for 4D the rule applies in the same way.