Joseph DiMuro wrote on Tue, Nov 19, 2013 11:28 AM EST:
On a hex board, a dabbabah (a 2-square orthogonal leaper) can only reach
one-fourth of the spaces on the board.
Color a hex board in four colors, such that a dabbabah can only move to
hexes of the same color.
Claim: given two hexes, if there are two different paths of the type
Charles Gilman described between those hexes, then those hexes are the same
color. And every leap between two hexes of the same color is an even-SOLL
leap. Thus, Gilman is correct.
Proof left to the reader. :-D