In the case of 3D images, the first iteration have the constant value $\overset { o }{ c }=({ c }_{ 0 };{ c }_{ 1 },{ c }_{ 2 }) $ because $\overset { o }{ \varphi } _{ 0 } $ is fixed in the origin. Both the scalar axis and the two hyper-axis take values in certain interval, this way can visualize the figure in three dimensions. In the next images, we can observe different slices along the scalar axis, it allow see similar behaviors, the figure -shaped bird appear in all the slices, but it fades increasingly. It is noteworthy that not all images was created with the same programme, because of that someone have the "dusty landscape" and no others do not have, but independent of the used programme the fractal behavior remains.
If you want to see the galery directly, the image below contains the link where it found.
