Hippogonal
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A hippogonal (pronounced /hɪˈpɒɡənəl/)[citation needed] chess move is a leap m squares in one of the orthogonal directions, and n squares in the other, for any integer values of m and n.[1] A specific type of hippogonal move can be written (m,n), usually with the smaller number first. A piece making such moves is referred to as a (m,n) hippogonal mover or (m,n) leaper. For example, the knight moves two squares in one orthogonal direction and one in the other, it is a (1,2) hippogonal mover or (1,2) leaper.
For a (m,n) leaper the occupation of others than the destination square plays no role, thus a (2,2) leaper (Alfil) moves to the second square diagonally and may thereby leap over a piece on the first square of the diagonal. A (m,n) leaper can, by the usual convention, move in all directions symmetric to each other, thus e. g. a (1,1) leaper (Ferz) can move in the four directions (1,1), (1,-1), (-1,1) and (-1,-1).
Other hippogonally moving pieces include the camel,[2] a fairy chess piece, which moves three squares in one direction and one in the other, and thus is a (1,3) hippogonal mover. The Xiangqi horse is a hippogonal stepper and the nightrider is a hippogonal rider.[3]
The pieces are colourbound if the sum of m and n is even, and change colour with every move otherwise.
Etymology
[edit | edit source]The word hippogonal is derived from the ancient Greek ἵππος, híppos, 'horse' (knights used to be called horses, and still are in some languages),[3] and γωνία (gōnía), meaning "angle".[4]
References
[edit | edit source]- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Piececlopedia: Camel Archived 2021-12-08 at the Wayback Machine by Hans Bodlaender, The Chess Variant Pages
- ^ a b Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Liddell and Scott, A Greek–English Lexicon s.v. γωνία Archived 2022-04-06 at the Wayback Machine
External links
[edit | edit source]- Piececlopedia: Knight by Fergus Duniho and Hans Bodlaender, The Chess Variant Pages
