A hippogonal (pronounced )

chess Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to dist ...

move is one similar to a

knight A knight is a person granted an honorary title of knighthood by a head of state (including the Pope) or representative for service to the monarch, the church or the country, especially in a military capacity. Knighthood finds origins in the Gr ...

's move. That is, a leap ''m'' squares in one of the orthogonal directions, and ''n'' squares in the other, for integer values of ''m'' and ''n''. It need not be a 2:1 ratio for m and n. A specific type of hippogonal move can be written ''(m,n)'', usually with the smaller number first. For example, the knight itself moves two squares in one orthogonal direction and one in the other—it moves hippogonally. It is a (1,2) hippogonal mover, sometimes referred to as a (1,2) leaper. Other hippogonally moving pieces include the camel,Piececlopedia: Camel
by

Hans Bodlaender Hans Leo Bodlaender (born April 21, 1960) is a Dutch computer scientist, a professor of computer science at Utrecht University. Bodlaender is known for his work on graph algorithms and parameterized complexity and in particular for algorithms rela ...

, ''

The Chess Variant Pages ''The Chess Variant Pages'' is a non-commercial website devoted to chess variants. It was created by Hans Bodlaender in 1995. The site is "run by hobbyists for hobbyists" and is "the most wide-ranging and authoritative web site on chess variants" ...

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fairy chess piece A fairy chess piece, variant chess piece, unorthodox chess piece, or heterodox chess piece is a chess piece not used in conventional chess but incorporated into certain chess variants and some chess problems. Compared to conventional pieces, fair ...

, 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. The pieces are colourbound if the sum of ''m'' and ''n'' is even, and change colour with every move otherwise.

Etymology

The word hippogonal is derived from the ancient

Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...

, ''híppos'', 'horse' (knights used to be called horses, and still are in some languages), and ('), meaning "angle".Liddell and Scott, ''

A Greek–English Lexicon ''A Greek–English Lexicon'', often referred to as ''Liddell & Scott'' () or ''Liddell–Scott–Jones'' (''LSJ''), is a standard lexicographical work of the Ancient Greek language originally edited by Henry George Liddell, Robert Scott, ...

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''s.v.'' γωνία

References

External links

by Fergus Duniho and

, ''

'' Fairy chess pieces Chess terminology {{chess-stub