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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• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

Under the following conditions:

• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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