var cube = function (e,f,g) { // e,f,g sommets coplanaires "consécutifs"
	var that= {};
	that.s1 = e;
	that.s2= f;
	that.s3 =g;
	that.s4= calcul3D(f,e,g,sommec,vect); 
	var areteNormale= calcul3D(f,e,vectc,f,g,vectc,prodVectc); 
	var a= norme(e,f); 
	areteNormale= prodRc(1/a,areteNormale);
	that.s5= somme(e,areteNormale);
	that.s6= somme(f,areteNormale);
	that.s7= somme(g,areteNormale);
	that.s8= somme(that.s4,areteNormale);
	
	that.getS4 = function () {
		return that.s4;
	}
	
	that.getS5 = function () {
		return that.s5;
	}
	
	that.getS6 = function () {
		return that.s6;
	}
	
	that.getS7 = function () {
		return that.s7;
	}
	
	that.getS8 = function () {
		return that.s8;
	}
	
	Polygon(that.s1.name+","+that.s2.name+","+that.s3.name+","+that.s4.name);
	Polygon(that.s1.name+","+that.s2.name+","+that.s6.name+","+that.s5.name);
	Polygon(that.s2.name+","+that.s3.name+","+that.s7.name+","+that.s6.name);
	Polygon(that.s3.name+","+that.s4.name+","+that.s8.name+","+that.s7.name);
	Polygon(that.s4.name+","+that.s1.name+","+that.s5.name+","+that.s8.name);
	Polygon(that.s5.name+","+that.s6.name+","+that.s7.name+","+that.s8.name);
	
	return that;
};

function arbre(o,p,q,n) {
	if (n>0) {
		var c= cube(o,p,q);
		var no1= calcul3D(0.5+0.5/Math.sqrt(2),c.getS8(),prodRc,0.5-0.5/Math.sqrt(2),c.getS7(),prodRc,somme);
		
		var inter1=calcul3D(0.5+0.5/Math.sqrt(2),c.getS7(),prodRc,0.5-0.5/Math.sqrt(2),c.getS8(),prodRc,somme);
		
		var np1= calcul3D(no1,0.5,c.getS7(),c.getS6(),vectc,prodRc,0.5,o,c.getS5(),vectc,prodRc,sommec,somme);
		
		var nq1= calcul3D(inter1,0.5,c.getS7(),c.getS6(),vectc,prodRc,0.5,o,c.getS5(),vectc,prodRc,sommec,somme);
		
		var no2= calcul3D(0.5+0.5/Math.sqrt(2),c.getS6(),prodRc,0.5-0.5/Math.sqrt(2),c.getS5(),prodRc,somme);
		
		arbre(no1,np1,nq1,n-1);
		
		arbre(no2,nq1,np1,n-1);
		
	}
}