hun: dyncamical space

Submitted by mfg on Tue, 07/11/2017 - 19:20

In dynamical space, the Julia sets are generalized to dimensions greater than 2.

The dynamical space is obtained by varying $\overset { o }{ \varphi  }  _{ 0 } $ while the parameter  $\overset { o }{ c } $ is fixed. The first iteration is the  value assigned  to  $\overset { o }{ \varphi  }  _{ 0 } $ (watch quadratic mapping ). 

The section below represents one image of the complete bound real scator set under the quadratic iteration in 1+2 dimensions, it is depicted $c2i({ f }_{ 0 };{ f }_{ 1 },{ f }_{ 2 })\mathbb{E}_{+}^{1+2} $  with codename hun (is pronounced jun). This kind images  The visualization was performed with the fantastic programme  Mandelbulber v.2.07  modified to represent the scators algebra. The modifications are described in the next link: hun: dynamic programme .

 c2iE+1+2-3D(0;0,0)(0;-2,0)dyn(-1.7;-1.7,.56)
 c2i(0;0,0)E1+2(0;0,0)(-1.7;-1.7,.56)