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I was intrigued by the idea in Daniil Frolov's latest variant of Queens and Nightriders as the basic linepieces, with Bisons as the short-range piece. It reminded me of something, and that is the relationship between the Glinsky and AltOrth interpretations of the hex geometry - although the derivation was the other way round. In this table illustrating the parallels, FIDE and AltOrth are collectively termed the "short" interpretations and Frolov virtual Octagonal and Glinsky as "long" ones.

square-cell		hex-cell
Rook, Bishop	Basic linepieces in short interpretation	Forerook, Hincdrook
Queen	Their compound, the compound linepiece in the short interpretation but a basic linepiece in the long one	Rook
Knight	The short-range piece in the short interpretation	Viceroy
Nightrider	Its rider, the other basic linepiece in the long interpretation	Unicorn
Acerider	The compound linepiece in the long interpretation	Duchess
Bison	The short-range piece in the long interpretation	Sennight

Well that made another idea dawn on me. A further development on AltOrth is Plattraum, which starts with the AltOrth linepieces but adds in the Unicorn as a third basic linepiece. There is then the potential for three two-way compounds - the Rook, Foreduchess, and Hindduchess - and the three-way Duchess just as cubic-cell boards have the potential for the two-way Queen, Duchess, and Governor and the three-way Empress. Thus it would be possible to have a square-cell Plattraum with the Rook, Bishop, and Nightrider as basic linepieces with the Queen, Marshrider, and Cardirider as two-wqy compounds and the Acerider as the three-way one - plus the Bison as a short-range piece.