Egg Shape

The construction of an egg shape.
Example for the using of the "intersection" and/or "difference".
Objects:   "box", "sphere".
Methods: "#declare", "union{...}", "intersection", "difference".
Click here for an example!

The construction:

The common parts (= intersection) of a sphere respectivly of an ellipsoid (light gray) and a box (darkgray) form a hemisphere (lower half of the egg) respectivly a half ellipsoid (upper half of the egg). Both half parts are connected by a "union" to the complet shape of the egg.
The same effect you can get with the use of "difference" with the boxes mirrowed by the xz-plane.

View from frontside (View in z-direction)

//--------------------------------------
#declare Egg_Tex =            //  <--1
texture{ pigment{color White}
         normal {bumps 0.4 scale 0.01}
         finish {diffuse 0.9 phong 0.1}
       } // end of texture
//---------------------------//  <--2
#declare Egg_upperpart =
intersection{
 sphere{<0,0,0>,1 scale<1,1.75,1>}
 box{<-1,0,-1>,<1,1.75,1>}
//Alternativly with "difference":
// difference{
// sphere{<0,0,0>,1 scale<1,1.75,1>}
// box{<-1,-1.75,-1>,<1,0,1>}
 }//------------------------------------

 #declare Egg_lowerpart =
intersection{
 sphere{<0,0,0>,1 scale<1,1,1>}
 box{<-1,-1,-1>,<1,0,1>}
//Alternativly with "difference":
//difference{
// sphere{<0,0,0>,1 scale<1,1,1>}
// box{<-1,0,-1>,<1,1,1>}
 }//------------------------------------

 #declare Egg =
union{ object{Egg_upperpart }
       object{Egg_lowerpart}
       texture{Egg_Tex}
 }//--------------------------// <--3
object{ Egg_upperpart
        translate<-1.1,1.1,0>
        texture{Egg_Tex}}
object{ Egg_lowerpart
        translate<-1.1,0.9,0>
        texture{Egg_Tex}}
object{ Egg       translate< 1.1,1.0,0>}
//-------------------------------- end

Click here for the scene file for POV-Ray:
"povegg0.txt" or "povegg0.pov"

Variations on the theme:

Replacing the marked parts as follows:

//----------------------------//from <--1
#declare Egg_Tex =
 texture{pigment{color rgb<1,0.85,0.0>}
         normal {bumps 0.75 scale 0.1}
         finish {diffuse 0.9 phong 1}}
                              //to <--2
//--------------------------//from <--3
union{
object{ Egg scale 0.4 translate<-1,1,-1>}
object{ Egg scale 0.4 translate< 0,1,-1>}
object{ Egg scale 0.4 translate< 1,1,-1>}
object{ Egg scale 0.4 translate<-1,1, 0>}
object{ Egg scale 0.4 translate< 0,1, 0>}
object{ Egg scale 0.4 translate< 1,1, 0>}
object{ Egg scale 0.4 translate<-1,1, 1>}
object{ Egg scale 0.4 translate< 0,1, 1>}
object{ Egg scale 0.4 translate< 1,1, 1>}
rotate<-40,40,0>
translate<0.3,0.7,-0.1>
}//---------------------------------- end