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Check out Janggi (Korean Chess), our featured variant for December, 2024.
Check out Janggi (Korean Chess), our featured variant for December, 2024.
the link given for George Jelliss: Theory of Moves, Knight's Tour Notes 2001, does not work, but you can find it here, an interesting article (14 pages) he prepared for a talk to the Hastings and St Leonards Chess Club on 21 August 2010. http://www.mayhematics.com/v/v.htm .. just click on 'simple chess variants', a pdf. Great fun for variant fans to read, from page 9 .. All possible leapers with coordinates up to 4 have acquired special names, as follows: Dummy {0,0}, Wazir {0,1}, Dabbaba {0,2}, Threeleaper {0,3}, Fourleaper {0,4}, Fers {1,1}, Knight {1,2}, Camel {1,3}, Gi-raffe {1,4}, Alfil {2,2}, Zebra {2,3}, Lancer {2,4}, Tripper {3,3}, Antelope {3,4} and Commuter {4,4}. Names for all two-pattern leapers with coordinates up to 2 are: King {0,1}+{1,1}, Wazaba {0,1}+{0,2}, Emperor {0,1}+{1,2}, Caliph {0,1}+{2,2}, Duke {1,1}+{0,2}, Prince {1,1}+{1,2}, Ferfil {1,1}+{2,2}, Templar {0,2}+{1,2}, Alibaba {0,2}+{2,2} and Hospitaller {1,2}+{2,2}. Any combination of a piece with a free piece is obviously free. It can however happen that a two-pattern leaper is free even though its components are not. I call such pieces amphibians. The simplest cases are Frog {1,1}+{0,3}, Toad {0,2}+{0,3} and Newt {2,2}+{0,3}. Many other two-pattern leapers are possible. Of particular interest, especially to those who know the theorem of Pythagoras are the Fiveleaper {0,5}+{3,4} and the Rootfiftyleaper {5,5}+{1,7}, which are the only two-pattern fixed-distance leapers on the 8×8. The simplest three-pattern leaper is the Centaur {0,1}+{1,1}+{1,2} a combination of king and knight.