George Duke wrote on Tue, Jul 10, 2007 04:35 PM EDT:
Jetan's Thoat(1922) goes diagonal-orthogonal, or reverse, in any
direction. A non-jumping Thoat is two-way to Knight squares and four-way
to Wazir squares. We play Thoat non-jumping unlike usual interpretation.
Even so, (Mao+Moa) is subset of that and has probably been named. I vote
two-square two-way by one diagonal and one orthogonal outwardly, Phoebe, both goddess and bird, subtly weakened Knight for small boards. Falcon, Scorpion, Dragon, 6-square multipath being Phoenix. 7-square multipath is Roc. A centralized Roc unimpeded on large 15x15 board can reach 48 squares, whereas Queen unimpeded on 15x15 reaches maximum 56 different squares. Roc, Phoenix, Dragon, Scorpion, Falcon, Phoebe and Queen none of them can ever move to any same square from a given starting square. Each one moves to own particular blocks of squares.