Patterns from a Simple Math Function I

power

1

2

3

4

size

5.22

function

norm

Im

Re

color

Interesting patterns can be found by composing some math functions with one of three real-valued functions and plotting the result.

Details

Reference: C. Getz and J. Helmstedt, Graphics with Mathematica: Fractals, Julia Sets, Patterns and Natural Forms, Amsterdam: Elsevier, 2004 p. 76.

External Links

Patterns from Elliptic Integrals

Patterns for Functions on the Gaussian Integers

Eisenstein Integer

Complex Number (Wolfram MathWorld)

Complex Plane (Wolfram MathWorld)

Real Number (Wolfram MathWorld)

Absolute Value (Wolfram MathWorld)

Permanent Citation

Daniel de Souza Carvalho

"Patterns from a Simple Math Function I"
http://demonstrations.wolfram.com/PatternsFromASimpleMathFunctionI/
Wolfram Demonstrations Project
Published: March 7, 2011