Triagonal Chess

Setup

 rnbqkbnr  pppppppp  ........  ........  ........  ........  ........  ........
 pppppppp  pppppppp  ........  ........  ........  ........  ........  ........
 ........  ........  ........  ........  ........  ........  ........  ........
 ........  ........  ........  ...**...  ...**...  ........  ........  ........
 ........  ........  ........  ...**...  ...**...  ........  ........  ........
 ........  ........  ........  ........  ........  ........  ........  ........
 ........  ........  ........  ........  ........  ........  PPPPPPPP  PPPPPPPP
 ........  ........  ........  ........  ........  ........  PPPPPPPP  RNBQKBNR

Asterisks indicate holes in the board; pieces cannot land there or pass through.

Pieces

Pawn (P): Non-capturing one space orthogonally toward opponent's edge. Capturing one space diagonally toward opponent's edge or one space triagonally toward your own edge. Double-move is allowed if on a space where one of your pawn would start it (whether or not it has already moved), and so is en-passan. Upon reaching where the opponent's non-pawns start, it promotes to a rook, knight, bishop, or queen. However, you are not allowed to have more than three of your own of one of these kind of piece on the board at once; if you have too many already, then moving into the promotion zone is not allowed unless capturing opponent's king.

Knight (N): Can move like a FIDE knight, or one space triagonal. It can also capture without moving one space orthogonal. It has an additional non-capturing move as a FIDE knight twice in one direction (the first target space has to be vacant).

Bishop (B): Move any distance diagonal or triagonal.

Rook (R): Move any distance orthogonal or triagonal.

Queen (Q): Move any distance orthogonal or diagonal, or non-capturing one space triagonal.

King (K): Move one space orthogonal, diagonal, or triagonal. Can castle like in FIDE chess, but without restriction of check. Also, you may castle as long as the pieces are in their initial position, even if they have previously been moved.

Jack (J): Move one space triagonal, or a non-capturing move as a pawn, but cannot make double step, en passan, and promotion. (None are initially on the board.)

Rules

It is played mainly as FIDE chess, but without check.

The possible way to win is: If you capture your opponent's king, or if you move your king into the space where your opponent's king will start at.

Each player also has eighty jacks "in hand" to place on the board later. Before your normal move, you may place two jacks on the board in vacant spaces, as long as both are adjacent to two of your own pieces which is already on the board and they are adjacent to each other. If you do, your normal move for this turn isn't allowed to move jacks or make a capture with any kind of pieces.

Notes

A possible subvariant might be to use cards to decide where the jacks are allowed to be placed. If you have some ideas about how this might work, then please post a comment.