Corner the Empress
Robbert Fokkink, Gerard Francis Ortega, Dan Rust
TL;DR
This paper explores a variant of the classic combinatorial game Wythoff Nim where the Queen gains enhanced movement abilities, analyzing the resulting complex patterns and strategic implications.
Contribution
It introduces a new variant of Wythoff Nim with expanded Queen movements and investigates the emergent patterns and strategic complexities.
Findings
Identification of new winning and losing positions
Emergence of intricate pattern structures
Insights into strategic advantages with enhanced Queen powers
Abstract
Wythoff Nim aka Corner the Lady is a classic combinatorial game. A Queen is placed on an infinite chess board and two players take alternate turns, moving the Queen closer to the corner. The first player that corners the Queen wins. What happens if the Queen gets superior powers and is able to go off diagonal? In this paper we study the intriguing patterns that emerge from such games.
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Taxonomy
TopicsArtificial Intelligence in Games