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Tag Archives: pythagorean triple
Tessellatable Numbers up to 2100, with corresponding Gaussian and Loeschian Number Pairs
The following tables, which should appeal to your inner nerd and might even be USEFUL, pick out which integers N in the range 1 to 2100 are of the form a²+b² and/or of the form e²+ef+f². The first category are … Continue reading
Posted in Mathematics
Tagged Argand Diagram, Eisenstein, Eisenstein Prime, Gaussian, Gaussian prime, Loeschian, Pairs of squares, pythagorean triple, Tessellatable
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Eine nicht so kleine Mathmusik: from Lattice Labyrinths to Integer-sided Trythagorean Triangles
Revision: In the previous post we investigated “squaring” a lattice labyrinth tessellation, multiplying the tessellation by itself and by its mirror image. This is equivalent to multiplying number pairs (a,b) x (a,b) and (a,b) x (b,a) where (a,b) are the … Continue reading