Abstract

By drawing a Pythagorean triangle in a quadratic lattice and attaching a congruent lattice at the hypotenuse there will occur a Moire effect with a new quadratic lattice of enlarged scale in the superposition. This new lattice is related to the parameterization of the Pythagorean triangle. A similar effect occurs with triangles with integer side lengths and an angle of 120° in a regular triangular lattice. We work with dot lattices on transparencies to visualize the optical effects.

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