Studies on the Game of Chess

Diagrams on the chess game #1

This first diagram, which is part of the analysis of the formal structure of the game, involves the re-symbolization of 6 types of game pieces and their placements on the game board.

Considering the functions of the game pieces within the game, a new series of symbols was created independent of the representations outside the game.

Unicode was used for naming the symbols.

The game board was defined as a Cartesian system.

From two opposing groups, 32 game pieces of 6 types were placed on the game board according to the rules of the game. This placement was marked as Cartesian expressions.

Knight Tour

This series consists of the visualization of an algorithmic and performative sequence involving the chess piece “Knight” on the chessboard, which is the playing field of the game called “Chess.”

The term “tour” is used to describe the completion of the chess piece, referred to as “Knight” in my work “Essays on the Game of Chess,” represented by the Unicode character “U+25F1,” over all specific points on the chessboard in a way that it will not pass over the same point again. When this tour begins and ends at the same point, it is called a “closed tour”; and when the sums of move sequences in both horizontal and vertical directions are the same, it is termed a “semi-magical” tour. (If the diagonals also have the same sum, the tour will be fully magical, but this possibility has been proven impossible.)

This series of visualizations is based on semi-magical tours that have been created in historical context. (The created visuals are based on the semi-magical tours of William Beverley and Carl Wenzelides.)

Visualizing these tours, which are purely the result of mathematical algorithms, as color fields composed of data only, serves as an example of the closed-deterministic-specific systems I have been working on for a certain period of time, as proved by Euler.

The color scheme accompanying this visualization, determined by an arbitrary choice, adds a time dimension to the final image by transitioning from light to dark to indicate move sequences, emphasizing the “visually appealing” aspect of the series.