FRACTAL CONNECTIONS OF PYTHAGOREAN TRIADS
Keywords:
Pythagorean number, Pythagorean board, Pythagorean brick, Euler triangle, Euler brick, diagonal, rectangular triangle, equilateral triangle, parametric equation.Abstract
The connections between the hypotenuse of a right triangle and an equilateral triangle, the connections between an equilateral triangle and an n-dimensional Pythagorean brick in the space R^n are shown. This paper shows equilateral and fractal connections between right triangles in figures and diagrams. An equation with an additional parameter r∈Z is given, generating the edges and diagonals of the Euler brick, and one example is given.
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