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# 5*4DChess (four dimensional chess)

## Introduction

Here's a 4D game I call 5*4DChess that uses twenty-five 5x5 (2D) mini-boards. Because it is not so easy to checkmate a K in many 3D or 4D chess variants, perhaps including my earliest 4D variant, 4*Chess, besides using standard 4D pieces in my second 4D variant, Super4*Chess, I added 6 powerful types of mann-like pieces. That was with the aim of not only making checkmating a king during a game easier, but also so that that game (and now 5*4DChess, too) still might be viable to play & enjoy.

My original inspiration behind 5*4DChess was to give pieces (especially a 4*Chess N) chances for even greater scope than on 16 4x4 mini-boards, possible on many of the added & larger mini-boards. It also inspired me that the mann-like pieces (twice as many of which are included as in Super*4Chess) would have somewhat less strength, while still remaining useful for checkmating the opposing king. Note that 5*4DChess pawn movement and promotion rules are rather more like for standard chess than was the case for my earlier 4*Chess and Super4*Chess four dimensional variants, as I felt this would be more suitable for the larger 5x5x5x5 board used in this game, besides for the initial setup that I chose.

Note that some links are provided in the Notes section, for further reference.

## Pieces

In 5*4DChess some 3D & 4D moving pieces are introduced, & all the pieces may possibly move between the mini-boards when performing a move (note that 'coordinate' in these instructions refers to the rank or file of a square on a mini-board, or refers to the row or column of a mini-board). Note a total of 14 piece types are used, 13 borrowed from my earlier 4*Chess & Super4*Chess 4D chess variants: D=4*Chess Balloon (I'd nickname it Dirigible) - moves like a bishop except changes 4 coordinates as it moves & stays on same square colour (standard 4D fairy chess piece); U=4*Chess Unicorn - moves like a bishop except changes 3 coordinates as it moves (standard 3D fairy chess piece); B=4*Chess Bishop - changes 2 coordinates as it moves, like a bishop (stays on same square colour); R=4*Chess Rook - changes 1 coordinate as it moves, like a rook; Q=4*Chess Queen - moves like a 4*Chess B or 4*Chess R, or a 4*Chess U, or a 4*Chess D; K=4*Chess King - moves like a 4*Chess Q, only 1 square/mini-board at a time (no castling); N=4*Chess Knight (nicknamed Horse) - changes 1 coordinate by 1 square and 1 coordinate by 2 squares, like a knight; T=Super4*Chess Pilot - can move like a 4*Chess D or a 4*Chess K; H=Super4*Chess Shaman - can move like a 4*Chess U or a 4*Chess K; M=Super4*Chess Missionary (based on a piece from Shogi [promoted Bishop, or 'Horse', in that game]) - can move like a 4*Chess B or a 4*Chess K; S=Super4*Chess Sailor (based on a piece from Shogi [promoted Rook, or 'Dragon', in that game]) - can move like a 4*Chess R or a 4*Chess K; J=Super4*Chess Judge (based on a fairy chess piece [Centaur]) - can move like a 4*Chess N or a 4*Chess K; X=Super4*Chess Mann (based on a fairy chess piece [Mann]) - moves like a 4*Chess K; P=5*4DChess Pawn (a unit specific to this game that moves differently than a 4*Chess P) - moves like a 4*Chess R (unless capturing), but generally moves forward by only 1 square at a time on a rank, or forward by 1 row to another mini-board (but moves to same rank & file there). It may make an initial double step like a 4*Chess R moving forward two squares (i.e. not jumping over anything on a R move's path), that is either by rank, or by moving to another mini-board two rows forward on the same column (landing on same rank & file there). If it is making a capture it can do so like a 4*Chess B that moves 1 rank forward on the same mini-board, or it can do so like a 4*Chess B that moves to a mini-board that's adjacent to (but not behind) it, i.e. it must always advance by rank or row, & never retreat by rank or row. Capturing a 5*4DChess P that has taken a double step by en passant capture is allowed, with the side doing the capturing placing his pawn making such a capture on the square the enemy pawn would have gone to if it had taken only a single step in the same direction that it took the double step on the previous turn. 5*4DChess P promotions occur on the last rank of any mini-board that's on the same row where the enemy K starts the game, & a 5*4D*Chess Pawn may promote to any 4*Chess or Super4*Chess piece type above (other than 4*Chess K). It is possible for a 5*4DChess P to early on avoid being captured by an enemy 5*4DChess P simply by moving to the last rank of a mini-board.

## Rules

Stalemate is a draw, as in standard chess.