Hi Deaken,

first of all, good work so far.

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

P1 - P12 are the vertexes of the Icosahedron
P1 is the top vertex
P2-P6 is the upper pentagon-shaped layer
P7 is the bottom vertex
P8-P12 is the lower pentagon-shaped layer

I hope you find it useful.

Greetings
    Thies Heidecke


// 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;


#declare P0    = < 0.0,  0.0,      0.0>;
#declare P1    = < 0.0,    r,      0.0>;
#declare P2    = < 0.0,  h*r,  2.0*h*r>;
#declare P3    = < a*r,  h*r,      c*r>;
#declare P4    = < b*r,  h*r,     -d*r>;
#declare P5    = <-b*r,  h*r,     -d*r>;
#declare P6    = <-a*r,  h*r,      c*r>;
#declare P7    = < 0.0,   -r,      0.0>;
#declare P8    = < b*r, -h*r,      d*r>;
#declare P9    = < a*r, -h*r,     -c*r>;
#declare P10   = < 0.0, -h*r, -2.0*h*r>;
#declare P11   = <-a*r, -h*r,     -c*r>;
#declare P12   = <-b*r, -h*r,      d*r>;

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