Anton Sherwood wrote:
> 
[...]
> Tangentially I wonder whether it's possible to cover a sphere with tiles
> topologically equivalent to Penrose's.
> 

I'm no expert in spherical geometry, but that could be possible if you would
distort the single tiles a bit (change angles).  The structure of real penrose
tiling is quite irregular, so this could be quite difficult... you will probably
have to work with variable distortion.

I could think of a program where the tiling grows and angles are adaptively
modified to follow a sphere's shape.  I'm not sure if that works, probably
things would not fit together in the end.  

Christoph

--
Christoph Hormann <chr### [at] gmxde>
Homepage: http://www.schunter.etc.tu-bs.de/~chris/

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