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Fibonacci Box Method using Bredenkamp's (i,j)-generators

Bredenkamp (2013) proved that all primitive right-angled triangles may be defined by a pair of positive integers (i,j),where i is an uneven number and j is an even number with no common factor. Bernhart&Price developed the concept of the Fibonacci Box. (See the articles mentioned below for more information.)
Bernhart, F. R. & Price, H. L. (2012). Pythagoras’ garden, revisited. Australian Senior Mathematics Journal, 26(1), 29–40. Bredenkamp, Martin W. Theorem on a Matrix of Right-Angled Triangles, Applied and Computational Mathematics, 2013, 2, 36-41.