Eisenstein Integer

(Systolic Geometry)

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Systolic Geometry
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What is Eisenstein integer?

In mathematics, Eisenstein integers (named after Gotthold Eisenstein), occasionally also known as Eulerian integers (after Leonhard Euler), are complex numbers of the form 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.

Technology Types

algebraic numberamountcomplex numbercyclotomic fielddefinite quantityirrational numberlattice pointmagnitudequadratic irrational numberreal numbersystolic geometry


Eisenstein-Jacobi integerEuler integerEuler integersEulerian integerEulerian integers


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