File:Truncated cuboctahedron permutation 0 0.png
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Summary
[edit]DescriptionTruncated cuboctahedron permutation 0 0.png |
One of the 48 elements of the full octahedral group, corresponding to one of the vertices of a truncated cuboctahedron.
This image was created with POV-Ray. This file was uploaded with Commonist.
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Source | Own work | ||
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Licensing
[edit]- 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.
POV-Ray source
[edit]#version 3.6;
global_settings { assumed_gamma 1.0 }
#default{ finish{ ambient 0.1 diffuse 0.9 conserve_energy}}
#include "colors.inc"
#include "math.inc"
///////////////////////////// camera and light
#declare Camera_Position = <12, 12, -45>;
camera{
location Camera_Position
right x*image_width/image_height
angle 11.7
look_at <-.12, -.13, 0>
}
light_source{ <-400, 500, -300> color White*0.9 shadowless}
light_source{ <400, 200, 100> color White*0.4 shadowless}
light_source{ Camera_Position color rgb<0.9,0.9,1>*0.2 shadowless}
sky_sphere{ pigment{ White } }
///////////////////////////// truncated cuboctahedron
# declare SkeletonColor = White;
# declare Abs = array[3]{(1),(1 + sqrt(2)),(1 + 2*sqrt(2))}
# declare RadVert = .12;
# declare RadVertBig = .45;
# declare RadEdge = .05;
# declare P = array[48]{<-Abs[2],-Abs[1],-Abs[0]>,<-Abs[2],-Abs[1],Abs[0]>,<-Abs[2],-Abs[0],-Abs[1]>,<-Abs[2],-Abs[0],Abs[1]>,<-Abs[2],Abs[0],-Abs[1]>,<-Abs[2],Abs[0],Abs[1]>,<-Abs[2],Abs[1],-Abs[0]>,<-Abs[2],Abs[1],Abs[0]>,<-Abs[1],-Abs[2],-Abs[0]>,<-Abs[1],-Abs[2],Abs[0]>,<-Abs[1],-Abs[0],-Abs[2]>,<-Abs[1],-Abs[0],Abs[2]>,<-Abs[1],Abs[0],-Abs[2]>,<-Abs[1],Abs[0],Abs[2]>,<-Abs[1],Abs[2],-Abs[0]>,<-Abs[1],Abs[2],Abs[0]>,<-Abs[0],-Abs[2],-Abs[1]>,<-Abs[0],-Abs[2],Abs[1]>,<-Abs[0],-Abs[1],-Abs[2]>,<-Abs[0],-Abs[1],Abs[2]>,<-Abs[0],Abs[1],-Abs[2]>,<-Abs[0],Abs[1],Abs[2]>,<-Abs[0],Abs[2],-Abs[1]>,<-Abs[0],Abs[2],Abs[1]>,<Abs[0],-Abs[2],-Abs[1]>,<Abs[0],-Abs[2],Abs[1]>,<Abs[0],-Abs[1],-Abs[2]>,<Abs[0],-Abs[1],Abs[2]>,<Abs[0],Abs[1],-Abs[2]>,<Abs[0],Abs[1],Abs[2]>,<Abs[0],Abs[2],-Abs[1]>,<Abs[0],Abs[2],Abs[1]>,<Abs[1],-Abs[2],-Abs[0]>,<Abs[1],-Abs[2],Abs[0]>,<Abs[1],-Abs[0],-Abs[2]>,<Abs[1],-Abs[0],Abs[2]>,<Abs[1],Abs[0],-Abs[2]>,<Abs[1],Abs[0],Abs[2]>,<Abs[1],Abs[2],-Abs[0]>,<Abs[1],Abs[2],Abs[0]>,<Abs[2],-Abs[1],-Abs[0]>,<Abs[2],-Abs[1],Abs[0]>,<Abs[2],-Abs[0],-Abs[1]>,<Abs[2],-Abs[0],Abs[1]>,<Abs[2],Abs[0],-Abs[1]>,<Abs[2],Abs[0],Abs[1]>,<Abs[2],Abs[1],-Abs[0]>,<Abs[2],Abs[1],Abs[0]>}
# declare TrunCubOct = union {
///// vertices
union{
sphere{P[0],RadVert} sphere{P[1],RadVert} sphere{P[2],RadVert} sphere{P[3],RadVert} sphere{P[4],RadVert} sphere{P[5],RadVert} sphere{P[6],RadVert} sphere{P[7],RadVert} sphere{P[8],RadVert} sphere{P[9],RadVert} sphere{P[10],RadVert} sphere{P[11],RadVert} sphere{P[12],RadVert} sphere{P[13],RadVert} sphere{P[14],RadVert} sphere{P[15],RadVert} sphere{P[17],RadVert} sphere{P[18],RadVert} sphere{P[19],RadVert} sphere{P[20],RadVert} sphere{P[21],RadVert} sphere{P[22],RadVert} sphere{P[23],RadVert} sphere{P[24],RadVert} sphere{P[25],RadVert} sphere{P[26],RadVert} sphere{P[27],RadVert} sphere{P[28],RadVert} sphere{P[29],RadVert} sphere{P[30],RadVert} sphere{P[31],RadVert} sphere{P[32],RadVert} sphere{P[33],RadVert} sphere{P[34],RadVert} sphere{P[35],RadVert} sphere{P[36],RadVert} sphere{P[37],RadVert} sphere{P[38],RadVert} sphere{P[39],RadVert} sphere{P[40],RadVert} sphere{P[41],RadVert} sphere{P[42],RadVert} sphere{P[43],RadVert} sphere{P[44],RadVert} sphere{P[45],RadVert} sphere{P[46],RadVert} sphere{P[47],RadVert}
pigment{color SkeletonColor}
}
///// edges
union{
cylinder{P[38],P[39],RadEdge} cylinder{P[35],P[43],RadEdge} cylinder{P[14],P[22],RadEdge} cylinder{P[8],P[9],RadEdge} cylinder{P[21],P[29],RadEdge} cylinder{P[42],P[44],RadEdge} cylinder{P[40],P[41],RadEdge} cylinder{P[29],P[37],RadEdge} cylinder{P[36],P[44],RadEdge} cylinder{P[16],P[24],RadEdge} cylinder{P[38],P[46],RadEdge} cylinder{P[44],P[46],RadEdge} cylinder{P[43],P[45],RadEdge} cylinder{P[0],P[1],RadEdge} cylinder{P[25],P[33],RadEdge} cylinder{P[5],P[7],RadEdge} cylinder{P[25],P[27],RadEdge} cylinder{P[6],P[14],RadEdge} cylinder{P[10],P[18],RadEdge} cylinder{P[28],P[30],RadEdge} cylinder{P[34],P[42],RadEdge} cylinder{P[16],P[18],RadEdge} cylinder{P[35],P[37],RadEdge} cylinder{P[33],P[41],RadEdge} cylinder{P[10],P[12],RadEdge} cylinder{P[11],P[13],RadEdge} cylinder{P[5],P[13],RadEdge} cylinder{P[46],P[47],RadEdge} cylinder{P[39],P[47],RadEdge} cylinder{P[14],P[15],RadEdge} cylinder{P[4],P[12],RadEdge} cylinder{P[18],P[26],RadEdge} cylinder{P[12],P[20],RadEdge} cylinder{P[2],P[10],RadEdge} cylinder{P[19],P[27],RadEdge} cylinder{P[7],P[15],RadEdge} cylinder{P[1],P[9],RadEdge} cylinder{P[13],P[21],RadEdge} cylinder{P[8],P[16],RadEdge} cylinder{P[4],P[6],RadEdge} cylinder{P[3],P[11],RadEdge} cylinder{P[9],P[17],RadEdge} cylinder{P[29],P[31],RadEdge} cylinder{P[20],P[28],RadEdge} cylinder{P[24],P[32],RadEdge} cylinder{P[11],P[19],RadEdge} cylinder{P[3],P[5],RadEdge} cylinder{P[22],P[30],RadEdge} cylinder{P[41],P[43],RadEdge} cylinder{P[23],P[31],RadEdge} cylinder{P[26],P[34],RadEdge} cylinder{P[1],P[3],RadEdge} cylinder{P[28],P[36],RadEdge} cylinder{P[21],P[23],RadEdge} cylinder{P[32],P[40],RadEdge} cylinder{P[45],P[47],RadEdge} cylinder{P[34],P[36],RadEdge} cylinder{P[2],P[4],RadEdge} cylinder{P[37],P[45],RadEdge} cylinder{P[15],P[23],RadEdge} cylinder{P[31],P[39],RadEdge} cylinder{P[24],P[26],RadEdge} cylinder{P[32],P[33],RadEdge} cylinder{P[0],P[2],RadEdge} cylinder{P[30],P[38],RadEdge} cylinder{P[17],P[19],RadEdge} cylinder{P[20],P[22],RadEdge} cylinder{P[27],P[35],RadEdge} cylinder{P[6],P[7],RadEdge} cylinder{P[0],P[8],RadEdge} cylinder{P[40],P[42],RadEdge} cylinder{P[17],P[25],RadEdge}
pigment{color SkeletonColor}
}
///// highlighted elements
sphere{P[16], RadVertBig pigment{color SkeletonColor} }
polygon{9, P[33],P[32],P[24],P[16],P[8],P[9],P[17],P[25],P[33] pigment{color rgbt<.33,.21,.08,.07>} }
polygon{7, P[18],P[16],P[8],P[0],P[2],P[10],P[18] pigment{color rgbt<0,0,0,.05>} }
polygon{5, P[16],P[18],P[26],P[24],P[16] pigment{color rgbt<.1,.029,.025,.07>} }
}
object{
TrunCubOct
scale -x rotate -90*z
}
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 09:30, 20 December 2017 | 4,000 × 4,000 (1.33 MB) | Watchduck (talk | contribs) |
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File usage on Commons
The following 51 pages use this file:
- User:Watchduck/list
- File:Truncated cuboctahedron permutation 0 0.png
- File:Truncated cuboctahedron permutation 0 1.png
- File:Truncated cuboctahedron permutation 0 2.png
- File:Truncated cuboctahedron permutation 0 3.png
- File:Truncated cuboctahedron permutation 0 4.png
- File:Truncated cuboctahedron permutation 0 5.png
- File:Truncated cuboctahedron permutation 1 0.png
- File:Truncated cuboctahedron permutation 1 1.png
- File:Truncated cuboctahedron permutation 1 2.png
- File:Truncated cuboctahedron permutation 1 3.png
- File:Truncated cuboctahedron permutation 1 4.png
- File:Truncated cuboctahedron permutation 1 5.png
- File:Truncated cuboctahedron permutation 2 0.png
- File:Truncated cuboctahedron permutation 2 1.png
- File:Truncated cuboctahedron permutation 2 2.png
- File:Truncated cuboctahedron permutation 2 3.png
- File:Truncated cuboctahedron permutation 2 4.png
- File:Truncated cuboctahedron permutation 2 5.png
- File:Truncated cuboctahedron permutation 3 0.png
- File:Truncated cuboctahedron permutation 3 1.png
- File:Truncated cuboctahedron permutation 3 2.png
- File:Truncated cuboctahedron permutation 3 3.png
- File:Truncated cuboctahedron permutation 3 4.png
- File:Truncated cuboctahedron permutation 3 5.png
- File:Truncated cuboctahedron permutation 4 0.png
- File:Truncated cuboctahedron permutation 4 1.png
- File:Truncated cuboctahedron permutation 4 2.png
- File:Truncated cuboctahedron permutation 4 3.png
- File:Truncated cuboctahedron permutation 4 4.png
- File:Truncated cuboctahedron permutation 4 5.png
- File:Truncated cuboctahedron permutation 5 0.png
- File:Truncated cuboctahedron permutation 5 1.png
- File:Truncated cuboctahedron permutation 5 2.png
- File:Truncated cuboctahedron permutation 5 3.png
- File:Truncated cuboctahedron permutation 5 4.png
- File:Truncated cuboctahedron permutation 5 5.png
- File:Truncated cuboctahedron permutation 6 0.png
- File:Truncated cuboctahedron permutation 6 1.png
- File:Truncated cuboctahedron permutation 6 2.png
- File:Truncated cuboctahedron permutation 6 3.png
- File:Truncated cuboctahedron permutation 6 4.png
- File:Truncated cuboctahedron permutation 6 5.png
- File:Truncated cuboctahedron permutation 7 0.png
- File:Truncated cuboctahedron permutation 7 1.png
- File:Truncated cuboctahedron permutation 7 2.png
- File:Truncated cuboctahedron permutation 7 3.png
- File:Truncated cuboctahedron permutation 7 4.png
- File:Truncated cuboctahedron permutation 7 5.png
- Template:Full octahedral group; single elements; truncated cuboctahedron
- Category:Full octahedral group; truncated cuboctahedron
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File change date and time | 00:42, 20 December 2017 |
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