Eisenstein Integer

zoom

divisor

1

2

3

4

5

6

7

8

9

10

color

view

2D

3D

This Demonstration creates interesting patterns from Eisenstein integers

x=a+bw

with

a

,

b

ordinary integers. Color is a function of the norm of

x

, modulo the given divisor. The coefficients

a

and

b

range on the horizontal and vertical axes respectively so the view is not the customary one in the complex plane.