Rook Series Numbers and Spiral table

摘要

The Rook series numbers (part of the Chess series numbers) and spiral table are original studies introduced by the author in the mathematical domain in order to create sequences of numbers manually using the Spiral table and the instrument "Rook Square Shape" and to form what is called the Rook series numbers. The main goal of this study is to show how we can create sequences of numbers such as "0-10-52-126-232-370-540..." using an instrument by moving it according to certain rules, for example moving it to the left, or right, or up, or down or other combination of sequences of rules on the Square table. The Rook series numbers is a part of the Chess series number which includes: "King, Queen, Bishop, Knight, Rook and Pawn series numbers". This method can be used to form and describe infinite number of series which are important in mathematics and all scientific domains.