用户借助Astra AI生成了一个可交互的4D国际象棋游戏1。这个游戏在传统象棋基础上引入了第四维度（W轴），将棋盘结构扩展为双层超立方体，由两个3×4×4的3D棋盘通过W坐标连接而成1。
游戏保留了标准象棋的基本规则和目标（将军），但棋子的移动逻辑升级为四维空间1。每个棋格用[X,Y,Z,W]四个坐标标记，如"a1[0,1]"表示a1方格在Z=0层、W=1的外立方体1。由于Z轴和W轴的范围均为0-1，主教或皇后沿这两轴最多只能移动一步，而X和Y轴各包含四个位置1。
该应用提供了电脑模式、拖动旋转查看棋盘、键盘控制等交互功能1。游戏的平局条件包括逼和、三次重复同一局面、100步无兵或吃子、以及双王局面等情况1。
A user has leveraged Astra AI to create a fully playable four-dimensional chess game, extending the traditional chess experience into a fourth spatial dimension.1 The game builds upon standard chess fundamentals by introducing a fourth axis, known as the W coordinate, which transforms the board into a structure comprising two interconnected 3×4×4 three-dimensional boards.1 Each square on the board is identified using four coordinates in the format [X, Y, Z, W], allowing pieces to move across all four dimensions while adhering to modified movement rules that account for the expanded coordinate space.1
The game mechanics preserve core chess principles, including checkmate as the primary victory condition, while adapting piece movements to the fourth dimension.1 Bishops and queens can move a maximum of one step along the Z and W axes, given their limited range of 0 to 1, while the X and Y axes each accommodate four possible positions for more expansive lateral movement.1 The implementation features several interactive elements, including a computer opponent mode, drag-based board rotation for three-dimensional visualization, and keyboard controls for enhanced player engagement.1 Draw conditions include stalemate, threefold repetition of identical board states, one hundred moves without pawn advancement or piece capture, and positions featuring two kings.1
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