Three-Dimensional Pathway for Disjoined Chess Board with Vector Directives
M. Laisin, E.I. Chukwuma, Justina Ebele Okeke · World Journal of Innovative Research · 2020
This paper, bring out the history of the game of chess that can be traced back as far as the 6 th Century.However, the chess game started in the Northern part of India and extended to Persia from there, it spread to the entire Asian Continent.In-addition, we reviewed some relevant literature with current state of knowledge appurtenance to the higher dimensional rook movement on a chess board within the forbidden area were studied.We also reviewed some basic techniques that are useful in studying and analyzing the rook movements on a three-dimensional chess board.However, we showed that, the sum of the rook movement is the product of the corresponding direction of the angle between the two vectors that give the three-dimensional structure.In-addition, we showed how a board B can be connected to a three-dimensional disjoined rook boards with forbidden squares and the t non-attacking rook movements to generate a rook function.Furthermore, some combinatorial problems were solved by applying generating functions to the rook movement with forbidden squares for the t non-attacking rook movements.