File:Body centered cubic 35 balls.svg
Size of this PNG preview of this SVG file: 360 × 320 pixels. Other resolutions: 270 × 240 pixels | 540 × 480 pixels | 864 × 768 pixels | 1,152 × 1,024 pixels | 2,304 × 2,048 pixels.
Original file (SVG file, nominally 360 × 320 pixels, file size: 5 KB)
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Summary
| Description |
English: 35 balls forming eight unit cells of the body-centered cubic lattice |
| Date | |
| Source | Own work |
| Author | David Eppstein |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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Source code
This image was created as an SVG file by the following source code:
from PADS import SVG
from math import sqrt,tan,asin
import sys
layers = 2
n = layers**3 + (layers + 1)**3
def ccube(x,y,z):
return (x & 1) == (y & 1)
dims = range(-layers,layers+1)
rdims = range(layers,-layers-1,-1)
points = [(x,y,z) for x in rdims for y in dims for z in dims
if x&1 == y&1 == z&1]
pov = (-20,-3.7,6.5)
x,y,z = 2,1,0
radius = 0.65
scale = 1000.0
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
bbox = 360+320j
output = SVG.SVG(bbox,sys.stdout)
output.element("defs",1)
output.element('radialGradient id = "light" cx = "50%" cy = "50%" fx = "70%" fy = "15%" r = "55%"',1)
output.element('stop stop-color = "rgb(255,255,255)" offset = "0%"')
output.element('stop stop-color = "rgb(200,200,240)" offset = "15%"')
output.element('stop stop-color = "rgb(0,0,180)" offset = "100%"')
output.element("radialGradient",-1)
output.element("defs",-1)
def vertex(p):
lx,ly = perspective(p)
lx += 520
ly -= 40
prad = scale*1.1*tan(asin(radius/(distance(p,pov))))
output.circle(lx+ly*1j,prad,fill=SVG.colors.blue)
output.circle(lx+ly*1j,prad,fill="url(#light)")
for p in points:
vertex(p)
output.close()
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 01:52, 5 December 2013 | | 360 × 320 (5 KB) | David Eppstein | Illustrator and Wikipedia disagree on what fy= means for radialGradients |
| 01:51, 5 December 2013 |  | 360 × 320 (5 KB) | David Eppstein | User created page with UploadWizard |
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