#include "shapes.inc"
#include "colors.inc"
#include "textures.inc"

background{color Gray60}

//The picture is showing (the real points of a part of) the 
//cayley cubic
//-5(x^2*y+x^2*z+y^2*x+y^2*z+z^2*y+z^2*x)+
//2*(x*y+x*z+y*z)



//cubic
poly { 3<
        0, -5, -5, 0, -5, 0, 2, -5, 2, 0, 0, -5, 0, -5, 2, 
        0, 0, 0, 0, 0>




   scale < 20,20,20>
   texture {
      pigment {color rgb<0.1,0.3,0.8> }
      finish {
	 phong 1.0
	 phong_size 10
	 ambient 0.4
	 diffuse 0.4
         reflection 0.2    
      }

   }
clipped_by{sphere{<0,0,0>40}}
rotate<0,0,0>
}
/*
// Put down  
plane {
   y, -20.0
   texture {
      pigment {
          color Gray40 
         
      }
      finish {
	 ambient 0.0
	 diffuse 0.4
      }
   }

}
*/
camera {
   location  <50.2, 20.3, -70.5>
   up        <0.0, 1.0,  0.0>
   right     <4/3, 0.0,  0.0>
   look_at   <0.1, 0.1,  0.1>
}

light_source { <200,500,-100> White
    spotlight
    radius  100
    falloff 200
    point_at <0,0,0>
}


//light_source { <1000, 300, -1301> color White }

light_source { <-101, -41, -131> color White }