Warning: this scene requires a lot of antialiasing, and it is slow.

camera { 
	location <.25, 4, -4.5>
	up y*image_height right x*image_width angle 65 look_at <.25, 0, 10>
}
background { rgb 1 }

#declare an = 0;
#declare sn = 0;
#declare snn = 0;
union {
	#declare n=1;
	#while (n<15000)
		#declare an = n * pow(-1, n+1);
		#declare snn = sn;
		#declare sn = sn + an;
		cylinder { 0, z*sqrt(1+an*an), .1 scale <1, 0.3/sqrt(n), 1>
			rotate y*degrees(atan(an)) translate <snn, 0, n>
		}
		sphere { <snn, 0, n>, .2 scale <1, 0.3/sqrt(n), 1> }
		#declare n=n+1;
	#end
	pigment { color rgb 0 }
}

intersection {
	plane { y, .01/(n*n) pigment { color rgb 0 } }
	plane { -z, -n  }
	plane { -x, 0 rotate y*-degrees (atan (.5)) translate <0, 0, 1> }
	plane { x, 0 rotate y*degrees (atan (.5)) translate <1, 0, 2> }
	pigment { color rgbt 1 }
}

plane {
	y, 0
	pigment {
		gradient x
		color_map { 
			[0 rgbt .5]
			[0.024 rgbt .5]
			[0.025 rgbt 1]
			[0.975 rgbt 1]
			[0.976 rgbt .5]
			[1 rgbt .5]
      }
	}
}
plane { -y, -5 pigment { color rgbf <.9, .9, 1, .9> } }

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