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TriMac 3 Friends

Introduction

Having designed an hexagonal version of XiangQi (see TriMac HexChess) it seemed natural to extend the use of the "three-cornered mesh" playing board to the three person XiangQi variant, Game of 3 Friends.

Setup

The Board

This is constructed from 3 hexagonally shaped triangular lattices separated by a three-way river.   Each lattice contains 69 points (just over half of a 2 player TriMac HexChess board)
This gives a triangular lattice with 207 intersections or points.

The starting array is shown in the image below.
start array

Pieces

The pieces are the same as for the Game of 3 Friends but increased in number by 50%.   So each player starts the game with 27 pieces.   These are the 24 pieces from TriMac HexChess plus 3 Banners.

The single-colour-on-white piece icons used in the above image and in some of those below are derived from the Chinese Chess pieces by Fergus Duniho.  These icons are:
General Guard Bishop Knight Banner Pawn Cannon Rook
general
guard
bishop
knight
banner
pawn
cannon
rook


Rules

The rules are essentially the same as for XiangQi as expanded by the Game of 3 Friends.. 

There are three players designated Red, Blue and Green.
Turns, consisting of moving a single friendly piece, cycle among the players with Red going first, followed by Blue, and then Green.  On the first defeat of a player, turns will alternate between the remaining two.

A player wins by defeating both opponents.
A player defeats an opponent by checkmating the enemy General.
There is no Stalemate.  A player unable to make a legal move may pass.

On being defeated, the defeated forces are added to the victor's in the following manner:
1. The defeated General is replaced by a victorious Banner.
2. Defeated Bishops and Guards are removed from the board without replacement.
3. The remaining defeated pieces are replaced by their victorious counterparts.

The movement of each type of piece is summarized in the following section.  This repeats the information from TriMac HexChess for completeness and adds a summary for the extra Banner piece.  Additional clarification about directions and moves is given under the Notes section.



Movement

pawn move The General is confined to the fortress and can only move a single orthogonal step at a time.  Generals may not face each other along an open north-south (vertical) orthogonal.  It is thus not permitted to make a move that leaves the two generals facing each other with no other piece in between.
The Guard must also stay confined to the fortress, and can only move a diagonal single step.
This gives the 2 flanking Guards to the left and right of the General just 5 possible positions, while the central Guard starting on the Palace point nearest the board's centre has only 4.
The Pawn, while still in its own territory, can move one step along any of the three forward facing orthogonals. Once across the central section of the board (called 'crossing the river') the Pawn gains the ability to move one step diagonally to the left or right.

The image on the left shows the Pawn's move, the reachable points being marked with black dots for the red Pawn and white for the blue.
knights move The Bishop moves diagonally two steps at a time.  However, bishops cannot jump over other pieces, so a Bishop is blocked in any direction where another piece is diagonally next to it.  Bishops are defensive pieces and must stay on their own side of the board.  They may occupy a 'bridge' but cannot cross the 'river' into enemy  territory.
The Knight moves by making an orthogonal step followed by a step diagonally outward.  The Knight, however,  may not jump over other pieces.  If another piece is orthogonally adjacent to a Knight , then that Knight cannot move in that direction. 

The Knight's move is shown in the diagram to the left.  The innermost red Knight can reach all of the 12 points marked by a black dot, whereas the red Knight at the edge is blocked by the blue Knight and Red Rook and can only reach 2 points as indicated.  The route taken by the Knight for each move is shown by the arrows: blue for the initial orthogonal step and green for the final outward diagonal step.
cannon move The Rook moves like the Rook in western orthodox Chess, that is, any number of points orthogonally but may not leap over other pieces.
The Cannon, when not capturing, moves like a Rook, stepping any number of points orthogonally without  leaping over other pieces.

The Cannon must, however, leap over another piece (of either side) in order to capture. Thus to capture an enemy piece there has to be a single intervening piece.

The Cannon's move is illustrated by the diagram on the left.  The blue Cannon may move to the points marked with a black dot or may capture the red Knight marked by a white dot.
banner moves
The Banner is an extra piece type not found in the  standard, 2- player, game of XiangQi.

It moves in a manner similar to the Knight, but has an initial double orthogonal step instead of the Knight's single step.
The Banner's move is illustrated by the image on the left where the red Banner can reach all 12 points marked by a black dot.

The route taken by the Banner for each move is shown by the arrows: blue for the initial orthogonal double-step and green for the final outward diagonal single-step.

Like the Knight, the Banner may not jump over other pieces.  Thus if another piece occupies either of the two points on a Banner's initial orthogonal double-step, then that Banner cannot move in that direction. 


Notes

Directions

 As is stated in the Game of 3 Friends, "The lines of the board are not straight throughout, and each army faces the other two."

The image below illustrates this bending of the lines from the Red player's perspective. The yellow arrows show the prime direction of directly forwards. This is the direction used when a piece is advanced.  The green arrows and blue arrows show the directions diagonally forwards left and diagonally forwards right respectively. 

These 3 directions of directly forwards, diagonally forwards left and diagonally forwards right, plus their 3 backwards counterparts (giving 6 directions in total) are the only ones by which a river section can be crossed.

The red arrows indicate an area of the board in which, from the Red player's point of view,  movement in either direction along the lines indicated may be considered to be directly forwards as the movement in either case is towards an opponent.

directions


Illustration of movement

The result of the "bent" lines on piece movement is demonstrated by the image below.

The rook at 'R' can move to any of the 'blue dot' points.  Note the bending of the directly forwards orthogonal as it crosses the river and enters the blue players territory.

Red pawn 'A' has not crossed the river so can only advance to one of the three 'black dot' points.

Red pawn 'B' has crossed the river but is not in the 'either direction forward' area, so can advance or move sideways to one of the five 'white dot' points.

Red pawn 'C' is in the 'either direction forward' area, but the movement towards the blue opponent crosses the river which restricts orthogonal moves to a single direction.  Also the sideways directions of diagonally left and diagonally right are not available from this point, resulting in four 'purple dot' points to which this pawn can move.

Red pawns 'D' and 'E' are both in the 'either direction forward' area,  and movement directions are not restricted by the river or the current point position.  So both pawns have 8 possible moves: to the 'green dot' points for pawn 'D'; to the 'red dot' points for pawn 'E'.

moves


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By Graeme C Neatham.
Web page created: 2007-02-26. Web page last updated: 2007-02-26