Mathematical Beauties

  In free time sometimes I like to wander in the land of Mathematics. Quite often I notice there beautiful landscapes. And like usual tourist I like it to “photo” and to share it with others. It is possibility that nobody have seen it. There will be my album.

2007 September 27 . Today I found how  nondifferentiable Riemann-Weierstrass function looks in complex domain:

 

It is Sum[Exp[I*j^2*fi]/j^2,{j,1,inf}]

 

 

It is Sum[Exp[I*j^3*fi]/j^2,{j,1,inf}]