Thies Heidecke wrote:
> 
> Hi Deaken,

Hello.

> first of all, good work so far.

Thanks.

> >// Bugs: The math is slightly off on both the Dodecahedron and the
> >//       Icosahedron.  I am still tracking this down, I'm afraid.
> 
> As i read this i thought my source could be helpful to you, feel free
> to use it in your include-file if you like it.
> 
> Some explanations:
> r is the radius of the outer bounding sphere of the icosahedron

I use 1 for this, like your default.  "Bounded by the unit sphere", as
they say.

> h,a,b,c,d are some precalculated constants.

Hm.  You seem to have a much better grasp on the geometry involved than
I do.  I was foolish, and trusted reference pages which I found on the
web.  :)

> I hope you find it useful.

Indeed.  Many thanks.

> // Icosahedron - Vertex - Definitions :
> #declare r     = 1.0;
> #declare sqrt5 = sqrt(5.0);
> #declare h     = 1.0/sqrt5;
> #declare a     = 2.0*sqrt((5.0+sqrt5)/40.0);
> #declare b     = 2.0*sqrt((5.0-sqrt5)/40.0);
> #declare c     = (5.0-sqrt5)/10.0;
> #declare d     = (5.0+sqrt5)/10.0;

Interesting.  I must study this.  Thanks again.

Deaken

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