File:Gray configuration.svg
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![File:Gray configuration.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/e/e1/Gray_configuration.svg/368px-Gray_configuration.svg.png?20080412180455)
Size of this PNG preview of this SVG file: 368 × 374 pixels. Other resolutions: 236 × 240 pixels | 472 × 480 pixels | 756 × 768 pixels | 1,008 × 1,024 pixels | 2,015 × 2,048 pixels.
Original file (SVG file, nominally 368 × 374 pixels, file size: 13 KB)
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Summary
[edit]DescriptionGray configuration.svg | The Gray configuration, 27 points and 27 lines meeting three lines to a point and three points to a line, drawn as a perspective view of a three-dimensional 3x3x3 grid. |
Date | |
Source | Own work |
Author | David Eppstein |
Source code
[edit]This image was created as a pdf file by the following Python code, then rescaled and converted to SVG.
from pyx import canvas,path,color
from math import sqrt,tan,asin
pov = (-20,6,5)
x,y,z = 2,1,0
radius = 0.05
scale = 10.0
vertexColor = [color.rgb.red]
edgeColor = [color.rgb.black]
def distance(p,q):
return sqrt(sum([(p[i]-q[i])**2 for i in (x,y,z)]))
def perspective(loc):
dz = loc[z]-pov[z]
return (loc[x]-pov[x])*scale/dz, (loc[y]-pov[y])*scale/dz
def vertex(p):
lx,ly = perspective(p)
prad = scale*1.1*tan(asin(radius/(distance(p,pov))))
c.fill(path.circle(lx,ly,prad),vertexColor)
def edge(p,q):
lx1,ly1 = perspective(p)
lx2,ly2 = perspective(q)
c.stroke(path.line(lx1,ly1,lx2,ly2),edgeColor)
c = canvas.canvas()
for i in range(3):
for j in range(3):
edge((i,j,0),(i,j,2))
edge((i,0,j),(i,2,j))
edge((0,i,j),(2,i,j))
for i in range(3):
for j in range(3):
for k in range(3):
vertex((i,j,k))
c.writePDFfile("Gray configuration")
Licensing
[edit]Public domainPublic domainfalsefalse |
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 18:04, 12 April 2008 | ![]() | 368 × 374 (13 KB) | David Eppstein (talk | contribs) | {{Information |Description=The Gray configuration, 27 points and 27 lines meeting three lines to a point and three points to a line, drawn as a perspective view of a three-dimensional 3x3x3 grid. |Source=self-made |Date=April 12, 2008 | |
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