Tom Melly wrote:
> 
> [...]
> 
> Can anyone give a quick explanation as to what they're for? For example, in
> Gilles's post, why use a hf with the ridged mf rather than just using the ridged
> mf directly?

It is faster usually.  For a direct comparison see the 'landscape.pov'
demo scene from POV-Ray 3.5.  

It should be mentioned that Gilles' code does not use the classical
'hf-style' function which would have constant gradient in vertical
direction:

function {y-f_ridged_mf( x, 0, z, ...

Christoph

-- 
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