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New 3D Leapers. Leapers restricted to the diagonal and triagonal patterns of the 3D field.[All Comments] [Add Comment or Rating]
Charles Gilman wrote on 2004-09-06 UTCGood ★★★★
Having looked into thesse pieces further, I am starting to warm to them. I notice that where the orthogonal-oblique piece is a two-coordinate leaper, m:n say, with a SOLL of m²+n², the diagonal-oblique piece has the three SOLLs {2(m²+n²[±mn])}, that is to say, the SOLL of the of the element of the di-ob piece that is itself another or-ob, and the numbers 2mn either side of it. For example, the standard Knight is a 2:1 leaper, SOLL 5, so the SOLLs of the d-Knight are {2(5[±2])} = {10, 6, 14}. 10 is the Camel SOLL, twice that of the standard Knight, and 6 and 14 are twice the 3 of the Wellisch hex Knight and the 7 of the Glinsky hex Knight.