Harry K. Hahn
Natural numbers divisible by the same prime factor lie on defined spiral graphs which are running through the “Square Root Spiral“ ( or “Spiral of Theodorus” or “Wurzel Spirale“ oder “Einstein-Spiral” ). Prime Numbers also clearly accumulate on such spiral graphs. And the square numbers 4, 9, 16, 25, 36 … form a highly three-symmetrical system of 3 spiral-graphs, which divide the square-root-spiral into 3 equal areas. A mathematical analysis shows, that these spiral graphs are defined by quadratic polynomials. The Square Root Spiral is a geometrical structure which is based on the 3 basic constants 1, sqrt2 and Pi , and the continuous application of the Pythagorean Theorem of the right angled triangle. Fibonacci number sequences also play a part in the structure of the Square Root Spiral. Fibonacci-Numbers divide the Square Root Spiral into areas and angle sectors with constant proportions. These proportions are linked to the “golden mean” ( golden section ), which behaves as a self avoiding walk constant in the lattice-like structure of the square root spiral. see FIG. 1 / 9 / 10 / 18 / 19
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