2D and 3D Views of the Weierstrass Function

step size s

0.05

view

2D

3D

color

The Weierstrass function is a continuous function, but differentiable only in a set of points of zero measure. This Demonstration plots an approximation to it in 2D or 3D over the

a

-

x

plane by letting

x

and

a

vary subject to the constraints

0≤x≤1

and

2≤a≤3

, where

x

and

a

vary by the given step size.

Details

Inspired by: Paul Nylander

External Links

Continuous Function (Wolfram MathWorld)

Differentiable (Wolfram MathWorld)

Weierstrass Function (Wolfram MathWorld)

Permanent Citation

Daniel de Souza Carvalho

"2D and 3D Views of the Weierstrass Function" from the Wolfram Demonstrations Project http://demonstrations.wolfram.com/2DAnd3DViewsOfTheWeierstrassFunction/
Published: March 7, 2011