File:Raytraced ball and stick model of a dodecahedron.png

#declare SteelBall = sphere{
	0 , 0.2
	texture{
		pigment{color rgb <224/255, 223/255, 219/255>}
		finish{
			reflection 0.7
			diffuse 0.5
			specular 1
			roughness 0.005
			metallic
		}
	}
	photons{
		target
		reflection on
		refraction on
	}
}

#macro Rod(End1, End2, Col)
cylinder{
	End1, End2, 0.1
	texture{
		pigment{Col}
	}
}
#end

#include "colors.inc"
#include "vert_edge.inc"

#declare phi = (1+sqrt(5))/2;
 
camera{
	location -13*z
	look_at 0
	angle 25
}

light_source{
	<-5,5,-5>
	White
	area_light
	0.3*y, 0.3*z, 15,15
	adaptive 2
	photons{
		reflection on
		refraction on
	}
}

light_source{
	<5,5,-5>
	White
	area_light
	0.3*y, 0.3*z, 15,15
	adaptive 2
	photons{
		reflection on
		refraction on
	}
}

light_source{
	0
	0.4*White
	photons{
		reflection on
		refraction on
	}
}

	//6 groups each of 5 edges. Consider the inscribed cube, as in http://commons.wikimedia.org/wiki/File:Dodecahedron-with-inscribed-cube.svg . Each group consists of a "hut" made on one face of the cube

#macro EdgeGroup(Face, HutPar, HutPerp, Col) //Face identifies the face of the cube under consideration. HutPar is parallel to the roof of the "hut", and HutPerp is perpendicular to it. All these should be unit vectors. HutPar and HutPerp can be multiplied by -1 without affecting the output
	Rod(phi*Face + (1/phi)*HutPar, phi*Face - (1/phi)*HutPar, Col) //The roof of the hut
	Rod(phi*Face + (1/phi)*HutPar, Face + HutPar + HutPerp, Col)
	Rod(phi*Face + (1/phi)*HutPar, Face + HutPar - HutPerp, Col)
	Rod(phi*Face - (1/phi)*HutPar, Face - HutPar + HutPerp, Col)
	Rod(phi*Face - (1/phi)*HutPar, Face - HutPar - HutPerp, Col)
#end

#declare Mone = array[2] {1,-1};
#declare Mphi = array[2] {phi,-phi};
#declare Mphirec = array[2] {1/phi,-1/phi};

union{
	#declare i=0; 	#while (i<2)
	#declare j=0; 	#while (j<2)
	#declare k=0; #while (k<2)
		object{SteelBall translate <Mone[i], Mone[j], Mone[k]>}
	#declare k=k+1; #end
	#declare j=j+1; #end
	#declare i=i+1; #end
	
	#declare i=0; 	#while (i<2)
	#declare j=0; 	#while (j<2)
		object{SteelBall translate <0, Mphirec[i], Mphi[j]>}
	#declare j=j+1; #end
	#declare i=i+1; #end
	
	#declare i=0; 	#while (i<2)
	#declare j=0; 	#while (j<2)
		object{SteelBall translate <Mphirec[i], Mphi[j], 0>}
	#declare j=j+1; #end
	#declare i=i+1; #end
	
	#declare i=0; 	#while (i<2)
	#declare j=0; 	#while (j<2)
		object{SteelBall translate <Mphi[j], 0, Mphirec[i]>}
	#declare j=j+1; #end
	#declare i=i+1; #end
	
	EdgeGroup(x,z,y, Red)
	EdgeGroup(-x,z,y, Blue)
	EdgeGroup(z,y,x, Green)
	EdgeGroup(-z,y,x, Yellow)
	EdgeGroup(y,x,z, Orange)
	EdgeGroup(-y,x,z, Med_Purple)
	rotate <15,10,15>
}

global_settings{
	max_trace_level 20
	photons{count 100000}
	radiosity{recursion_limit 10}
}