Earticle

The most of casual games are two-dimensional based graphic interface and the most of matching-tile game is still gains popularity on many video game devices and variety of smart phones. These game uses two-dimensional Euclidean coordinates and uses rectangle- or triangle-, hexagon-shaped tiles. But recently novel design of casual games are introduced and gains attention of casual gamers. Our research introduces new approach for tile-based game design. It uses hyperbolic model of Poincare model and Weierstrass model for displaying and generating tiles. Our method is general for any configuration of (p, q)-tiling and can be used for new tile based game design. And introduces new tile generation methods for (3,q)-tiling and (p,3)-tiling without redundant tiles. We also proposed interactive movement method of tiles for game navigation purposes.