Title
A Novel Fractal Board Game
Abstract
We introduce a novel fractal board game by applying the concept of subdivision of fractals to an nxn-grid game board. Black and White place a piece by turns to compete the cell territories in the grid. As all the four vertices of a cell territory are occupied, both players score based on the number of vertices occupied by their respective game pieces on all relevant cells (sub-boards). While playing, the player with disadvantage is of right to subdivide a cell of the game board to create sub-games in a way that the subdivision of quadtree does. The game ends up if one of the termination conditions is satisfied. Due to the fact of the continuity of lines, our game board could be infinitely subdivided for generating the sub-boards (sub-games). The subdivision is used to balance the dominance of the playing-first player in the abstract board game so that there are opportunities for players with disadvantages to catch up and provides more interesting gameplay.
Year
DOI
Venue
2009
10.1109/ICIG.2009.156
ICIG
Keywords
Field
DocType
white piece,abstract board game,relevant cell,nxn-grid game board,respective game piece,fractals,termination condition,fractals subdivision concept,termination conditions,black piece,novel fractal board game,playing-first player,fractal board game,interesting gameplay,game board,cell territory,computer games,satisfiability,games,mathematical model,uncertainty
Simultaneous game,Combinatorial game theory,Computer vision,Computer science,Nim,Theoretical computer science,Repeated game,Metagaming,Artificial intelligence,Sequential game,Game tree,Information set
Conference
ISBN
Citations 
PageRank 
978-1-4244-5237-8
0
0.34
References 
Authors
1
3
Name
Order
Citations
PageRank
Siao-Fan Siao100.34
Hung-Wei Hsu272.90
Wen-Kai Tai311916.71