When we examine the classic chessboard for the first time through other variants, such as historic chessboards and innovative ones, we see elements of continuity due to evolution.
The Byzantine chessboard, because of its circularity, forms new attack and defense lines, as there is the movement of rotation, which can be enhanced by the double towers and the curves of the diagonals of the bishops.
The castle chess board, in the sence of the four castles, but also its teaming up, offers new potentials in chess contemplation.
The innovation of the SER checkerboard, through the Einstein – Rosen bridges, and the Sierpinsky structure, introduces the strategic player to topostrategy and Chronostrategy, while it initially combines vacancy and cooperativeness in multicyclicity.
For the same reason it promotes the hypermodern approach as well, with a fundamental change in regards to the notion of the center.
Additionally, it activates the side attacks, without forgetting that it allows the ability of the bishop colour change, because of the hyperactivity through the blue squares.
But what’s most important is the development of the besieging, through these chessboards, because with those structures of history and innovation, we are also able to understand the superstructure upon which it is based.
Consequently, through the continuity and the consistency of chess thinking, even in a recursive context, we have mental schemes, which highlight the endurance of thought, when it’s managing problems with structural obstacles, which it has to incorporate to the solving result.