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File:Pm1234 Ground.png

原始文件(2,400 × 1,800像素,文件大小:302 KB,MIME类型:image/png


摘要

描述
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.
日期
来源 Self-made by user in Povray. See source code below.
作者 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> } }

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GNU head 已授权您依据自由软件基金会发行的无固定段落及封面封底文字(Invariant Sections, Front-Cover Texts, and Back-Cover Texts)的GNU自由文件许可协议1.2版或任意后续版本的条款,复制、传播和/或修改本文件。该协议的副本请见“GNU Free Documentation License”。
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  • 共享 – 复制、发行并传播本作品
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署名 相同方式共享
本文件采用知识共享署名-相同方式共享2.5 通用2.0 通用1.0 通用许可协议授权。
您可以自由地:
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  • 修改 – 改编作品
惟须遵守下列条件:
  • 署名 – 您必须对作品进行署名,提供授权条款的链接,并说明是否对原始内容进行了更改。您可以用任何合理的方式来署名,但不得以任何方式表明许可人认可您或您的使用。
  • 相同方式共享 – 如果您再混合、转换或者基于本作品进行创作,您必须以与原先许可协议相同或相兼容的许可协议分发您贡献的作品。
您可以选择您需要的许可协议。

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日期/时间缩⁠略⁠图大小用户备注
当前2007年4月15日 (日) 02:372007年4月15日 (日) 02:37版本的缩略图2,400 × 1,800(302 KB)NorthgroveRevised version for a smaller file size and no perceptible quality change. (bit depth change and higher PNG compression)
2007年3月5日 (一) 02:162007年3月5日 (一) 02:16版本的缩略图2,400 × 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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File:Pm1234 Ground.png
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