From povdoc:
4.7.8.4 Turbulence
...In general the order of turbulence parameters relative to other
pattern modifiers such as transformations, color maps and other maps is
not important. For example scaling before or after turbulence makes no
difference. The turbulence is done first, then the scaling regardless of
which is specified first. See section "" for a way to work around this
behavior.

In general, the order of turbulence parameters relative to each other
and to other pattern modifiers such as transformations or color_map  and
other maps is not important. For example scaling before or after
turbulence makes no difference. The turbulence is done first, then the
scaling regardless of which is specified first. However the order in
which transformations are performed relative to warp  statements is
important. You can also specify turbulence inside warp  and in this way
you can force turbulence to be applied after transformations.  See "
Warps " for details.

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