Rider (chess)
In chess mathematics, a rider is understood to be a piece that can repeat a movement step as often as desired with the same direction and distance within one move, if it never comes to an occupied space in between. A rider is specified like an (a, b) jumper by the field index difference of a step, where a and b are natural numbers .
In normal chess there are two tabs:
Like an (a, b) jumper, an (a, b) rider can move in any direction symmetrical to the vector (a, b), i.e. a tower can move in the directions (1,0), (−1,0) , (0,1) and (0, −1). The direction taken once must then be maintained for further steps.
Every figure acts as an obstacle on a square that can be reached directly with one step, but none that can be jumped over with one step. For example, a (2,2) rider ( Alfil rider) can skip any piece that is an odd distance from the starting square , but is stopped by a piece at an even distance.
In fairytale chess , many other riders were thought up and named. The best known of these is the on Springer -based (1,2) tab, called night rider .
Web links
- List of fairytale chess figures ( Memento from August 29, 2008 in the Internet Archive ) (English)
- Chess mathematical outputs for (a, b) figures, riders and others (English)