This is adapted from the code provided for me by Mike Williams in p.a-u 
(thread "arbitrary remapping").  In the left sphere, the -z pole is in 
the bigger of the two tiny red triangles.  The pigment of that sphere is 
conformally mapped twice around the right sphere, resulting in 
distortions of size but preservation of local angle; you can see two 
copies of everything that surrounds that polar spot (which is much 
magnified, and now has six corners instead of three).

-- 
Anton Sherwood, http://www.ogre.nu/

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Anton Sherwood wrote:
>This is adapted from the code provided for me by Mike Williams in p.a-u
>(thread "arbitrary remapping").  In the left sphere, the -z pole is in
>the bigger of the two tiny red triangles.  The pigment of that sphere is
>conformally mapped twice around the right sphere, resulting in
>distortions of size but preservation of local angle; you can see two
>copies of everything that surrounds that polar spot (which is much
>magnified, and now has six corners instead of three).
>
>--
>Anton Sherwood, http://www.ogre.nu/
>

Nice.  I really like that illustration of conformal mapping.  It gives me a
lot of ideas about similar applications.

Dave Matthews

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And here is an equal-area version.

-- 
Anton Sherwood, http://www.ogre.nu/

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