**Diagram 1 - 128 trig board**

### Introduction

With its dual classification of steps and the availability of up to 12 ordinarily adjacent cells and 12 extended adjacent cells, the Trigonal board offers a versatile arena for piece design.

This page looks at adapting the FIDE pieces and gives an estimate of their value on a 128 cell trigonal board (Diagram 1). *See also Delta Chess*

There are several companion pages dealing with non-FIDE pieces:

Special thanks must go to Joe Joyce for his insight and inspiration in opening up and developing this topic.

### King (Guard)

The King's move is described as *a single step in any direction* and may also be termed a *Guard's move*.

On a square board this move can be broken down into an *orthogonal* step (a **Wazir's** move) and a *diagonal* step (a **Ferz'** move).

On a trigonal board we can further distinguish between a-step and e-step Wazir, and i-step and p-step Ferz.

There is also the choice to be made between keeping to the unextended (u-) adjacent trigs or allowing the use of the extended (x-) adjacent cells.

What were two components on a board with square cells are now eight on the trigonal board, and may be referred to as:

- ua-step
- xa-step
- ue-step
- xe-step
- ui-step
- xi-step
- up-step
- xp-step

Diagrams 2,3,4 and 5 illustrate these components for a piece standing on the red trig. Light blue trigs are the reachable *unextended* adjacent trigs, while dark blue are the reachable *extended*.

Diagrm 6 shows the full King's (Guard) move.

For the purposes of adapting the FIDE pieces and estimating their value, I shall ignore the extended adjacent cells. The King's move on a trigonal board is thus demonstrated by the light-blue trigs in Diagrm 6.

### Knight

On a square-based board the Knight's move may be described as *a Ferz' move followed by a Wazir's in the same general direction* - or,equivalently, vice-versa.

On a trigonal board, ignoring the extended adjacent cells, this translates to :

- a-step then i-step
- i-step then a-step
- e-step then p-step
- p-step then e-step

1 and 2 are equivalent, leading to 3 basic types of knights and 2 natural combinations, namely

Movement | Classification | Name |
---|---|---|

a+i or i+a | Chromatic or ch-knight |
Knight-Crusader (Crusader) |

e+p | Edge or e-knight |
Knight-Errant |

p+e | Point or p-knight |
Knight-Paladin (Paladin) |

e+p and p+e | Connective or cv-knight |
Knight-Victor (Victor) |

e+p and p+e and (a+i or i+a) |
Complete or co-knight |
Knight-Companion (Companion) |

*See Diagrams 7, 8, 9, 10 and 11.*

Notes

- The
**Paladin**was first described by Joe Joyce in this comment - Following Joe's suggestion, both the
**Knight-Errant**and**Paladin**may be termed**short knights**(maximum cells attacked is**9**) while the**Companion**might be termed a**long knight**(attacks a maximum of**18**cells).

### Bishop

The Bishop makes a series of Ferz' moves.

These may be *i-ferz* or *p-ferz* and the connecting *point* may remain *constant* or *alternate*. The resulting path made by the series of steps may be *straight* or *curved*.

Movement | Classification | Name |
---|---|---|

xi-ferz | Constant Point Straight Path |
Dart |

p-ferz | Alternate Point Straight Path |
Abbot |

p-ferz | Constant Point Curved Path |
Gyrkin |

i-ferz or p-ferz |
Constant Point Straight Path |
Druid |

i-ferz or p-ferz |
Alternate Point Curved Path |
Sidewinder |

*See Diagrams 12, 13, 14, 15 and 16.*

Notes

- The
**Dart**is a slider, the slide consisting of a series of steps between*extended*adjacent trigs. Movement can only be blocked by pieces that occupy a trig that is part of the slide. - The
**Druid**and the**Sidewinder**are colour-bound and are thus true trigonal analogues of the FIDE Bishop.

The**Abbot**and the**Gyrkin**are not colour-bound and could equally well be placed in the list of Rooks. They might best be considered a third type of slider where the steps are both*a-wazir*and*p-ferz*: perhapsmight be a good term for this intermediate class of sliders?**Chaplains** *Gyrkin*is a falconry term for the male Gyrfalcon, a bird of prey that flies in circular patterns as it casts for quarry.

### Rooks

The Rook makes a series of Wazir's moves.

These may be *a-wazir* or *e-wazir* and the connecting *edge* may remain *constant* or *alternate*. The resulting path made by the series of steps may be *straight* or *curved*.

Movement | Classification | Name |
---|---|---|

xa-wazir | Constant Edge Curved Path |
Turret |

a-wazir or e_wazir |
Alternate Edge Straight Path |
Tower |

a-wazir or e-wazir |
Constant Edge Curved Path |
Dome |

a-wazir | Constant Edge Straight Path |
Spire |

a-wazir | Alternate Edge/Point Curved Path |
Belfry |

*See Diagrams 17, 18, 19, 20 and 21.*

Notes

*to be continued*