Eisenstein integer
Complex number whose mapping on a coordinate plane produces a triangular lattice / From Wikipedia, the free encyclopedia
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"Eulerian integer" and "Euler integer" redirect here. For other uses, see List of topics named after Leonhard Euler § Euler's numbers.
In mathematics, the Eisenstein integers (named after Gotthold Eisenstein), occasionally also known[1] as Eulerian integers (after Leonhard Euler), are the complex numbers of the form
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where a and b are integers and
is a primitive (hence non-real) cube root of unity.
The Eisenstein integers form a triangular lattice in the complex plane, in contrast with the Gaussian integers, which form a square lattice in the complex plane. The Eisenstein integers are a countably infinite set.