George Duke wrote on Mon, Jun 22, 2009 04:30 PM UTC:
If you do not know these, any more you are rowing blindly, thrashing in thin air (remember flat earth?), designing in the void, to be condemned forever and stockaded for now. Duals include Ferz->Wazir, N->Camel, Zebra->Zemel, Giraffe->Gimel, Antelope->Namel. They should become second nature and their relationships. For example, Antelope 4,3 = 25 SOLL. x2=50. 50= SOLL Namel 7,1. Giraffe 4,1 = SOLL 17, x2=34 -> as 25+9, 5,3 Gimel. Triangulating is not the norm for oblique leaper. That is why we compound them, like Carrera compounds in 1617, not so long ago, B and N to Centaur, who triangulates. Coprime oblique leapers in fact none of them triangulate, because in squares they switch. They either switch colour, or they switch rank as to odd or even from origination. // (1) Still being thought-processed: Non-coprime NN 2,4 cannot triangulate 2-D either but keeps both colour and ranks' binding odd/even; not switching here = not triangulating? (2) Determining triangulation in cubes depends on the board's 3 dimensions with respect to the coordinates of the leaper.