Three-player chess

Usually three bishops per side are included, to cover all cells of the hex playing field.

Circular boards have three- or four-sided cells, but not triangular or quadrilateral.

The introduction of a third player drastically alters the style of play, even when standard pieces are used.

Many chess openings are useless due to the extended board and third player.

In this situation, White would lose since Black delivered the final checkmating move.

Three-Way Chess starting positions (Harshman)
Three-Way Chess uses an irregular hexagonal board. Harshman swapped the initial positions of the knights and bishops in the back row so that each player could begin with a bishop on a cell of each colour.
96-cell hexagonal chessboard with white, black, and red armies in starting positions
A regular hexagon 96-cell board is a frequent choice by inventors of three-player chess.
Chess for three geometry, also using 96 quadrilateral cells. The wooden armies are stained slightly different colors.
Guide to Ilshat Tagiev's three-player chess (click image for extensive pdf rules tutorial (in Russian) )