Battle of the Diagonals

This idea nagged at me for a while. I could see how I could complement these pieces with the "female" piece stripped of its Rook move as the Bishop analogue, and the Rook with the "missing" diagonal added as Rook analogue, and even Pawnbrokers/Pawnbreakers/Brokerbreakers as Pawn analogues. What was not obvious to me was what might take the rôle of the Knight. Two kinds of diagonal had a path through Pawn-style front ranks anyway, unless I doubled them up. I didn't fancy giving one army Knights, one Sennights, and one Heffalumps as they would play so differently, Sennights especially being bound to single levels. Another possibility might have been compounds such as Knight+Sennight=Stalwart and Sennight+Heffalump=Sheriff, but I had not devised the latter name at the time of posting and still have yet to devise a name for Knight+Heffalump. I wondered about one- or two-step pieces using radials in the same patterns, but these seemed too weak. Then I thought of pieces with both moves, but these lacked satisfactory names at the time.

Then I read in one comment that Prince+Alibaba or Wazbaba+Fearful had the pre-existing name Pasha, and this inspired me to rename 3d and hex analogues. The variant below is the one on which I finally settled. I decided to have relatively few long-range pieces and put them right at the back, so that they cannot leave camp until a shorter-range piece has. I soon recognised the piece ratios as Shogi-like, and designed promotion accordingly.

Setup

 ___
/Qn3\___
\___/Sk3\___
/Sk3\___/Bb3\___
\___/Bb3\___/ . \___
/Bb3\___/ . \___/ . \___
\___/ . \___/ . \___/ . \___Levels 1
/ . \___/ . \___/ . \___/Pe2\___ and 6
\___/ . \___/ . \___/ . \___/Mu2\___
/ . \___/ . \___/ . \___/Pe2\___/Ds2\
\___/ . \___/ . \___/ . \___/Mu2\___/
/ . \___/ . \___/ . \___/Pe2\___/
\___/ . \___/ . \___/ . \___/
/Po1\___/ . \___/ . \___/
\___/Po1\___/ . \___/
/Im1\___/Po1\___/
\___/Im1\___/
/Ms1\___/
\___/
 ___
/Tn3\___
\___/Pa3\___
/Pa3\___/Bb3\___
\___/Bb3\___/ . \___
/Bb3\___/ . \___/ . \___
\___/ . \___/ . \___/ . \___ Levels 2
/ . \___/ . \___/ . \___/Pe2\___ and 5
\___/ . \___/ . \___/ . \___/Kh2\___
/ . \___/ . \___/ . \___/Pe2\___/Pf2\
\___/ . \___/ . \___/ . \___/Kh2\___/
/ . \___/ . \___/ . \___/Pe2\___/
\___/ . \___/ . \___/ . \___/
/Po1\___/ . \___/ . \___/
\___/Po1\___/ . \___/
/Md1\___/Po1\___/
\___/Md1\___/
/Gv1\___/
\___/
 ___
/Sf3\___
\___/Mg3\___
/Mg3\___/Bb3\___
\___/Bb3\___/ . \___
/Bb3\___/ . \___/ . \___
\___/ . \___/ . \___/ . \___ Level 3
/ . \___/ . \___/ . \___/Pe2\___
\___/ . \___/ . \___/ . \___/Eu2\___
/ . \___/ . \___/ . \___/Pe2\___/Fl2\
\___/ . \___/ . \___/ . \___/Ei2\___/
/ . \___/ . \___/ . \___/Pe2\___/
\___/ . \___/ . \___/ . \___/
/Po1\___/ . \___/ . \___/
\___/Po1\___/ . \___/
/Sn1\___/Po1\___/
\___/Sn1\___/
/Es1\___/
\___/
 ___
/Fd3\___
\___/Ay3\___
/Ay3\___/Bb3\___
\___/Bb3\___/ . \___
/Bb3\___/ . \___/ . \___
\___/ . \___/ . \___/ . \___ Level 4
/ . \___/ . \___/ . \___/Pe2\___
\___/ . \___/ . \___/ . \___/Ay2\___
/ . \___/ . \___/ . \___/Pe2\___/Pd2\
\___/ . \___/ . \___/ . \___/Ay2\___/
/ . \___/ . \___/ . \___/Pe2\___/
\___/ . \___/ . \___/ . \___/
/Po1\___/ . \___/ . \___/
\___/Po1\___/ . \___/
/Ay1\___/Po1\___/
\___/Ay1\___/
/Er1\___/
\___/

Pieces

Apart from the Ayatollah, and possible promotee Dictators, both of which use all three kinds of diagonal but not orthogonals, the armies have entirely different pieces:

Rules

Castling is between the King analogue and the piece three levels above it. This is included as it is possible to open up the centre levels in a FIDE-like way to bring out a Queen and Bishop analogue, and so logical to bring a Rook analogue into the area and take the King one out of it.

When a symmetric piece is captured it goes into a neutral Reserve of captured pieces.

A Pawn analogue reaching the far face of the board must be promoted. If there are pieces in the Reserve it must be promoted to such a piece, converted to the same army as the Pawn analogue. If there aren't it is promoted to Dictator, which is represented by flipping. Once such a promotee is captured it goes into the Reserve permanently promoted, allowing a later promotion to Dictator even when there are other (particularly short-range) pieces in the Reserve. Note that the disadvantage of a Brokerbreaker not being promotable when it has only a noncapturing move counters the advantage that all its capturing moves bring it forward two ranks.

Despite the Shogi representation no other piece can be promoted.

A player is Checkmated when their Emperor, President, or Founder is threatened by the player about to move, and that piece is removed. Given the initial piece density of 40% and lack of reintroduction of pieces other than as promotion, the rest of the Chechmated army is let in placecomplete with move and physical orientation. Pawn analogues also retain movement orientation, promotion zone, and choice of promotee pieces. Whichever of the two remaining players Checkmates the other wins.