Aziz Sahraei. An Analytical Approach to Polyominoes and a solution to the Goldbach conjecture

Natural Sciences / Mathematics / Algebra

Submitted on: Feb 21, 2012, 21:47:51

Description: Always, when viewing papers whose writers show polyominoes graphically, this question crossed my mind, are there any equations which may be given to avoid the need for drawings? Polyominoes are sometimes called by the number of faces (like triomeno or tetraomino). In this paper, I try to formulate polyomino shapes and establish a correspondence between them and polynominals. About the final part where I refer to the Goldbach conjecture, I must to say that my aim is to give a geometric representation of the proof of this conjecture so that if a special chain of subsets such as, I0 < I1 < ... < In exists in a set "Omega", where both ends of the chain include trivial subsets, and if the conjecture be true for at least one arbitrary member of this chain, then it will be true for all the other members of the chain.

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