Loops On The Dot (Digital Diagram)

 

Since the board has no boundaries and pieces can move without step limitations, players will find that playing “Dot” offers a completely different experience from any other board game, especially when moving pieces along the looping routes.

 

Although the Dot is a three-dimensional sphere, its surface is essentially a two-dimensional membrane without borders, requiring only two coordinates—longitude and latitude—to pinpoint any location. Since the surface is a two-dimensional membrane, it can be displayed as a flat rectangular grid—much like a chessboard—through a specific sequence of mathematical transformations.

 

The Dot's surface contains twenty loops in total: eight latitudinal, four longitudinal, four clockwise helical, and four counterclockwise helical. When all these loops are displayed on a two-dimensional rectangular grid while maintaining their line connections, they produce the pattern shown in this diagram.

 

 

 

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2D