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File:Pm1234 Ground.png

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Cahid
Ceferlihesaxhesanoxlı

Summary

Description
English: Terms and partial sums of 1 − 2 + 3 − 4 + · · · going out to the horizon.
  • The terms are indicated as black lines executing displacements to the camera's right, plus a constant displacement away from the camera.
  • The partial sums are where the terms end; they are indicated as black circles.
  • The action takes place on an infinite horizontal plane. The integers are located on the gray lines. The horizon is picked out by a bluish sky.
  • The camera type is rectangular perspective. Of course, it is placed over x equal 1/4 for symmetry.
Português: Termos e somas parciais de 1 − 2 + 3 − 4 + · · · dirigem-se para o horizonte.
  • Os termos são indicados por linhas pretas executando deslocamentos à direita da câmara, mais um deslocamento constante para longe da câmara.
  • As somas parciais estão onde os termos terminam; elas estão indicadas por círculos pretos.
  • A ação ocorre sobre um plano horizontal infinito. Os números inteiros estão localizados sobre as linhas cinzas. O horizonte é reconhecido por um céu azulado.
  • O tipo da câmara é de perspectiva retangular. Claro que, é colocado sobre x igual a 1/4 para a simetria.
Date 5 March 2007
Source Self-made by user in Povray. See source code below.
Author user:Melchoir

POV-Ray source

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> } }

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • 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.
This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons

attribution share alike

This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • 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.

You may select the license of your choice.

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5 March 2007

File history

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Date/TimeThumbnailDimensionsUserComment
current 02:37, 15 April 2007 Thumbnail for version as of 02:37, 15 April 20072,400 × 1,800 (302 KB)NorthgroveRevised version for a smaller file size and no perceptible quality change. (bit depth change and higher PNG compression)
02:16, 5 March 2007 Thumbnail for version as of 02:16, 5 March 20072,400 × 1,800 (705 KB)MelchoirTerms and partial sums of 1 − 2 + 3 − 4 + · · · going out to the horizon, in rectangular perspective. ==POV-Ray source== <pre> camera { location <.25, 4, -4.5> up y*image_height right x*image_width angle 65 look_at <.25, 0, 10> } background { r
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