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[Incomplete description corrected. The reason I had 8x7x5 around was to see if certain natural pathways of 8x7x7 and 8x7x5 balanced out. It's better to get them all 8x7x6 as below.] The following is abstract summary about Chieftain, not Falcon. I filed the 2x2x2 comparison at Gilman's M&B04. The 48/336 is going to come up again within M&Bxx. Of course 336/48=7. The full Rule to get 8x7x6=336 requires logical Chieftain of Jetan restriction between loose and strict, and these three subrules are convenient to gamesters. Chess in motion is not only math. 8 steps to choose, then 7 to choose, the first two are obvious, then 6 the third step we have to be careful, all three one-steps for the full three-steps, numbering the 336 pathways. (1) In the three-step there is no return to same square already passed over. (2) 0-degree, 45-degree, and 90-degree changes of direction are all permitted. (3) If there are two 135 changes to choose to get the total 6 choices for the final one-step, use clockwise preference. The full rule makes always 8x7x6=336 three-steps (without subrule 3 there are cases of 8->7->7); and Falcon uses 48 movements from among them. Falcon's movement rule is far simpler, and the foregoing is for Chieftain of Jetan, out of which Falcon is carved. Falcon can be stated as simply as: ''three-steps outward both of at least one straight and one diagonal.''